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Dr. Manuel De La Sen
University of the Basque Country

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Research Keywords & Expertise

0 fuzzy
0 Fuzzy data,
0 Fuzzy Approximation
0 P. S. Dhara P. S. Dhara is a research scholar in the Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, India. He works in application of fuzzy logic in management systems.
0 Fu<¡zzy Systems

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Short Biography

Manuel De la Sen was born in Arrigorriaga, Bizkaia, Basque Country, Spain. He received his M.S. degree (with honors) in Applied Physics (electronics and automation) and his Ph.D. degree (high honors and special mention) in applied physics from the University of Basque Country, Bilbao, Spain, in 1975 and 1979, respectively, and the Doctorat d´ Etat-es-Sciences Physiques degree (specialite Automatique et Traitement du Signal) from the University of Grenoble, Grenoble, France, in 1987 (mention tres honorable). He serves currently as a Professor of Systems Engineering and Automatic Control at the University of Basque Country, where he also serves as the Head of the Institute of Research and Development of Processes. He has coauthored about eight hundred papers in scientific journals and proceedings of conferences. He was a Visiting Professor at the University of Grenoble (France), University of Newcastle (Callaghan, NSW, Australia), and Australian National University (Canberra, ACT, Australia), and he acted formerly as a Member of the Editorial Board of the Electrosoft Journal (CML Mechanical and Computational Engineering Publications). He is currently serving as an Associate Editor of the following journals: Applied Mathematical Sciences; Nonlinear Analysis, Modeling and Control; Fixed Point Theory and Applications; Frontiers in Applied Mathematics and Statistics; and others. His main interest research areas include Control Theory, Epidemic models and Fixed Point Theory.

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Research article
Published: 19 August 2021 in Complexity
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HIV, like many other infections, is a severe and lethal infection. Fractal-fractional operators are frequently used in modeling numerous physical processes in the current decade. These operators provide better dynamics of a mathematical model because these are the generalization of integer and fractional-order operators. This paper aims to study the dynamics of the HIV model during primary infection by fractal-fractional Atangana–Baleanu (AB) operators. The sufficient conditions for the existence and uniqueness of the solution of the proposed model under the AB operator are derived via fixed point theory. The numerical scheme is presented by using the Adams–Bashforth method. Numerical results are demonstrated for different fractal and fractional orders to see the effect of fractional order and fractal dimension on the dynamics of HIV and CD4+ T-cells during primary infection.

ACS Style

Shabir Ahmad; Aman Ullah; Ali Akgül; Manuel De la Sen. Study of HIV Disease and Its Association with Immune Cells under Nonsingular and Nonlocal Fractal-Fractional Operator. Complexity 2021, 2021, 1 -12.

AMA Style

Shabir Ahmad, Aman Ullah, Ali Akgül, Manuel De la Sen. Study of HIV Disease and Its Association with Immune Cells under Nonsingular and Nonlocal Fractal-Fractional Operator. Complexity. 2021; 2021 ():1-12.

Chicago/Turabian Style

Shabir Ahmad; Aman Ullah; Ali Akgül; Manuel De la Sen. 2021. "Study of HIV Disease and Its Association with Immune Cells under Nonsingular and Nonlocal Fractal-Fractional Operator." Complexity 2021, no. : 1-12.

Journal article
Published: 15 August 2021 in Mathematics
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The purpose of this article is to initiate the notion of monotone multivalued generalized (α,β)-nonexpansive mappings and explore the iterative approximation of the fixed points for the mapping in an ordered CAT(0) space. In particular, we employ the S-iteration algorithm in CAT(0) space to prove some convergence results. Moreover, some examples and useful results related to the proposed mapping are provided. Numerical experiments are also provided to illustrate and compare the convergence of the iteration scheme. Finally, an application of the iterative scheme has been presented in finding the solutions of integral differential equation.

ACS Style

Mujahid Abbas; Hira Iqbal; Manuel De la Sen; Khushdil Ahmad. Approximation of Fixed Points of Multivalued Generalized (α,β)-Nonexpansive Mappings in an Ordered CAT(0) Space. Mathematics 2021, 9, 1945 .

AMA Style

Mujahid Abbas, Hira Iqbal, Manuel De la Sen, Khushdil Ahmad. Approximation of Fixed Points of Multivalued Generalized (α,β)-Nonexpansive Mappings in an Ordered CAT(0) Space. Mathematics. 2021; 9 (16):1945.

Chicago/Turabian Style

Mujahid Abbas; Hira Iqbal; Manuel De la Sen; Khushdil Ahmad. 2021. "Approximation of Fixed Points of Multivalued Generalized (α,β)-Nonexpansive Mappings in an Ordered CAT(0) Space." Mathematics 9, no. 16: 1945.

Journal article
Published: 12 August 2021 in Mathematics
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In this article, we generalize, improve, unify and enrich some results for Jaggi-W-contraction-type mappings in the framework of b-metric-like spaces. Our results supplement numerous methods in the existing literature, and we created new approach to prove that a Picard sequence is Cauchy in a b-metric-like space. Among other things, we prove Wardowski’s theorem, but now by using only the property (W1). Our proofs in this article are much shorter than ones in recently published papers.

ACS Style

Slobodanka Mitrović; Vahid Parvaneh; Manuel De La Sen; Jelena Vujaković; Stojan Radenović. Some New Results for Jaggi-W-Contraction-Type Mappings on b-Metric-like Spaces. Mathematics 2021, 9, 1921 .

AMA Style

Slobodanka Mitrović, Vahid Parvaneh, Manuel De La Sen, Jelena Vujaković, Stojan Radenović. Some New Results for Jaggi-W-Contraction-Type Mappings on b-Metric-like Spaces. Mathematics. 2021; 9 (16):1921.

Chicago/Turabian Style

Slobodanka Mitrović; Vahid Parvaneh; Manuel De La Sen; Jelena Vujaković; Stojan Radenović. 2021. "Some New Results for Jaggi-W-Contraction-Type Mappings on b-Metric-like Spaces." Mathematics 9, no. 16: 1921.

Journal article
Published: 09 August 2021 in Alexandria Engineering Journal
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This manuscript was built to generalize Ekeland variational principle for mixed monotone functions in the setting of partially ordered complete metric spaces. The results obtained are applied to give different proofs for tripled fixed points of mixed monotone mappings in the mentioned space by using a variational technique. The results presented in our manuscripts generalize and expand many of the findings presented in the earlier period. For the sobriety and enhancement of our paper, two examples are given and the existence and uniqueness of the solution to a periodic boundary value problem are studied as applications.

ACS Style

Hasanen A. Hammad; Hassen Aydi; Manuel De la Sen. New contributions for tripled fixed point methodologies via a generalized variational principle with applications. Alexandria Engineering Journal 2021, 1 .

AMA Style

Hasanen A. Hammad, Hassen Aydi, Manuel De la Sen. New contributions for tripled fixed point methodologies via a generalized variational principle with applications. Alexandria Engineering Journal. 2021; ():1.

Chicago/Turabian Style

Hasanen A. Hammad; Hassen Aydi; Manuel De la Sen. 2021. "New contributions for tripled fixed point methodologies via a generalized variational principle with applications." Alexandria Engineering Journal , no. : 1.

Journal article
Published: 25 July 2021 in Algorithms
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In this paper, we provide and study the concept of multi-valued generalized (α,β)-nonexpansive mappings, which is the multi-valued version of the recently developed generalized (α,β)-nonexpansive mappings. We establish some elementary properties and fixed point existence results for these mappings. Moreover, a multi-valued version of the M-iterative scheme is proposed for approximating fixed points of these mappings in the weak and strong senses. Using an example, we also show that M-iterative scheme converges faster as compared to many other schemes for this class of mappings.

ACS Style

Kifayat Ullah; Muhammad Khan; Manuel de la Sen. Fixed Point Results on Multi-Valued Generalized (α,β)-Nonexpansive Mappings in Banach Spaces. Algorithms 2021, 14, 223 .

AMA Style

Kifayat Ullah, Muhammad Khan, Manuel de la Sen. Fixed Point Results on Multi-Valued Generalized (α,β)-Nonexpansive Mappings in Banach Spaces. Algorithms. 2021; 14 (8):223.

Chicago/Turabian Style

Kifayat Ullah; Muhammad Khan; Manuel de la Sen. 2021. "Fixed Point Results on Multi-Valued Generalized (α,β)-Nonexpansive Mappings in Banach Spaces." Algorithms 14, no. 8: 223.

Journal article
Published: 19 July 2021 in Processes
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Ischemic heart disease (or Coronary Artery Disease) is the most common cause of death in various countries, characterized by reduced blood supply to the heart. Statistical models make an impact in evaluating the risk factors that are responsible for mortality and morbidity during IHD (Ischemic heart disease). In general, geometric or Poisson distributions can underestimate the zero-count probability and hence make it difficult to identify significant effects of covariates for improving conditions of heart disease due to regional wall motion abnormalities. In this work, a flexible class of zero inflated models is introduced. A Bayesian estimation method is developed as an alternative to traditionally used maximum likelihood-based methods to analyze such data. Simulation studies show that the proposed method has a better small sample performance than the classical method, with tighter interval estimates and better coverage probabilities. Although the prevention of CAD has long been a focus of public health policy, clinical medicine, and biomedical scientific investigation, the prevalence of CAD remains high despite current strategies for prevention and treatment. Various comprehensive searches have been performed in the MEDLINE, HealthSTAR, and Global Health databases for providing insights into the effects of traditional and emerging risk factors of CAD. A real-life data set is illustrated for the proposed method using WinBUGS.

ACS Style

Sarada Ghosh; Guruprasad Samanta; Manuel De la Sen. Bayesian Analysis for Cardiovascular Risk Factors in Ischemic Heart Disease. Processes 2021, 9, 1242 .

AMA Style

Sarada Ghosh, Guruprasad Samanta, Manuel De la Sen. Bayesian Analysis for Cardiovascular Risk Factors in Ischemic Heart Disease. Processes. 2021; 9 (7):1242.

Chicago/Turabian Style

Sarada Ghosh; Guruprasad Samanta; Manuel De la Sen. 2021. "Bayesian Analysis for Cardiovascular Risk Factors in Ischemic Heart Disease." Processes 9, no. 7: 1242.

Research
Published: 15 July 2021 in Advances in Difference Equations
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This research aims to investigate a novel coincidence point (cp) of generalized multivalued contraction (gmc) mapping involved a directed graph in b-metric spaces (b-ms). An example and some corollaries are derived to strengthen our main theoretical results. We end the manuscript with two important applications, one of them is interested in finding a solution to the system of nonlinear integral equations (nie) and the other one relies on the existence of a solution to fractional integral equations (fie).

ACS Style

Hasanen A. Hammad; Manuel De la Sen; Praveen Agarwal. New coincidence point results for generalized graph-preserving multivalued mappings with applications. Advances in Difference Equations 2021, 2021, 1 -15.

AMA Style

Hasanen A. Hammad, Manuel De la Sen, Praveen Agarwal. New coincidence point results for generalized graph-preserving multivalued mappings with applications. Advances in Difference Equations. 2021; 2021 (1):1-15.

Chicago/Turabian Style

Hasanen A. Hammad; Manuel De la Sen; Praveen Agarwal. 2021. "New coincidence point results for generalized graph-preserving multivalued mappings with applications." Advances in Difference Equations 2021, no. 1: 1-15.

Journal article
Published: 12 July 2021 in Advances in Mathematical Physics
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In this manuscript, exciting fixed point results for a pair of multivalued mappings justifying rational Gupta-Saxena type Ω -contractions in the setting of extended b -metric-like spaces are established. The theoretical results have also been strengthened by some nontrivial examples. Finally, the theoretical results are used to study the existence of the solution of Fredholm integral equation which arises from the damped harmonic oscillator, to study initial value problem which arises from Newton’s law of cooling and to study infinite systems of fractional ordinary differential equations (ODEs).

ACS Style

Hasanen A. Hammad; Manuel De la Sen. A Fixed Point Technique for Set-Valued Contractions with Supportive Applications. Advances in Mathematical Physics 2021, 2021, 1 -15.

AMA Style

Hasanen A. Hammad, Manuel De la Sen. A Fixed Point Technique for Set-Valued Contractions with Supportive Applications. Advances in Mathematical Physics. 2021; 2021 ():1-15.

Chicago/Turabian Style

Hasanen A. Hammad; Manuel De la Sen. 2021. "A Fixed Point Technique for Set-Valued Contractions with Supportive Applications." Advances in Mathematical Physics 2021, no. : 1-15.

Research article
Published: 09 July 2021 in Advances in Mathematical Physics
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We consider the class of mappings endowed with the condition E in a nonlinear domain called 2-uniformly convex hyperbolic space. We provide some strong and Δ -convergence theorems for this class of mappings under the Agarwal iterative process. In order to support the main outcome, we procure an example of mappings endowed with the condition E and prove that its Agarwal iterative process is more effective than Mann and Ishikawa iterative processes. Simultaneously, our results hold in uniformly convex Banach, CAT(0), and some CAT( κ ) spaces. This approach essentially provides a new setting for researchers who are working on the iterative procedures in fixed point theory and applications.

ACS Style

Junaid Ahmad; Kifayat Ullah; Hüseyin Işik; Muhammad Arshad; Manuel de la Sen. Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric Spaces. Advances in Mathematical Physics 2021, 2021, 1 -8.

AMA Style

Junaid Ahmad, Kifayat Ullah, Hüseyin Işik, Muhammad Arshad, Manuel de la Sen. Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric Spaces. Advances in Mathematical Physics. 2021; 2021 ():1-8.

Chicago/Turabian Style

Junaid Ahmad; Kifayat Ullah; Hüseyin Işik; Muhammad Arshad; Manuel de la Sen. 2021. "Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric Spaces." Advances in Mathematical Physics 2021, no. : 1-8.

Journal article
Published: 06 July 2021 in Applied Sciences
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The impact of the SARS-CoV-2 (COVID-19) on the world has been partially controlled through different measures of social isolation and prophylaxis. Two new SEIR (Susceptible-Exposed-Infected-Recovered) models are proposed in order to describe this spread through different countries of Europe. In both models the infectivity of the asymptomatic period during the exposed stage of the disease will be taken into account. The different transmission rates of the SEIR models are calculated by considering the different locations and, more importantly, the lockdown measures implemented in each region. A new classification of these intervention measures will be set and their influence on the values of the transmission rates will be estimated through regression analysis.

ACS Style

Raúl Nistal; Manuel de la Sen; Jon Gabirondo; Santiago Alonso-Quesada; Aitor Garrido; Izaskun Garrido. A Study on COVID-19 Incidence in Europe through Two SEIR Epidemic Models Which Consider Mixed Contagions from Asymptomatic and Symptomatic Individuals. Applied Sciences 2021, 11, 6266 .

AMA Style

Raúl Nistal, Manuel de la Sen, Jon Gabirondo, Santiago Alonso-Quesada, Aitor Garrido, Izaskun Garrido. A Study on COVID-19 Incidence in Europe through Two SEIR Epidemic Models Which Consider Mixed Contagions from Asymptomatic and Symptomatic Individuals. Applied Sciences. 2021; 11 (14):6266.

Chicago/Turabian Style

Raúl Nistal; Manuel de la Sen; Jon Gabirondo; Santiago Alonso-Quesada; Aitor Garrido; Izaskun Garrido. 2021. "A Study on COVID-19 Incidence in Europe through Two SEIR Epidemic Models Which Consider Mixed Contagions from Asymptomatic and Symptomatic Individuals." Applied Sciences 11, no. 14: 6266.

Journal article
Published: 28 June 2021 in Journal of Function Spaces
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We connect the F iteration process with the class of generalized α -nonexpansive mappings. Under some appropriate assumption, we establish some weak and strong convergence theorems in Banach spaces. To show the numerical efficiency of our established results, we provide a new example of generalized α -nonexpansive mappings and show that its F iteration process is more efficient than many other iterative schemes. Our results are new and extend the corresponding known results of the current literature.

ACS Style

Junaid Ahmad; Kifayat Ullah; Muhammad Arshad; Manuel de la Sen. Iterative Approximation of Fixed Points by Using F Iteration Process in Banach Spaces. Journal of Function Spaces 2021, 2021, 1 -7.

AMA Style

Junaid Ahmad, Kifayat Ullah, Muhammad Arshad, Manuel de la Sen. Iterative Approximation of Fixed Points by Using F Iteration Process in Banach Spaces. Journal of Function Spaces. 2021; 2021 ():1-7.

Chicago/Turabian Style

Junaid Ahmad; Kifayat Ullah; Muhammad Arshad; Manuel de la Sen. 2021. "Iterative Approximation of Fixed Points by Using F Iteration Process in Banach Spaces." Journal of Function Spaces 2021, no. : 1-7.

Research article
Published: 18 June 2021 in Journal of Function Spaces
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In this paper, we establish weak and strong convergence theorems for mean nonexpansive maps in Banach spaces under the Picard–Mann hybrid iteration process. We also construct an example of mean nonexpansive mappings and show that it exceeds the class of nonexpansive mappings. To show the numerical accuracy of our main outcome, we show that Picard–Mann hybrid iteration process of this example is more effective than all of the Picard, Mann, and Ishikawa iterative processes.

ACS Style

Junaid Ahmad; Kifayat Ullah; Muhammad Arshad; Manuel de la Sen. Approximation of Fixed Points for Mean Nonexpansive Mappings in Banach Spaces. Journal of Function Spaces 2021, 2021, 1 -6.

AMA Style

Junaid Ahmad, Kifayat Ullah, Muhammad Arshad, Manuel de la Sen. Approximation of Fixed Points for Mean Nonexpansive Mappings in Banach Spaces. Journal of Function Spaces. 2021; 2021 ():1-6.

Chicago/Turabian Style

Junaid Ahmad; Kifayat Ullah; Muhammad Arshad; Manuel de la Sen. 2021. "Approximation of Fixed Points for Mean Nonexpansive Mappings in Banach Spaces." Journal of Function Spaces 2021, no. : 1-6.

Research article
Published: 15 June 2021 in Journal of Function Spaces
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In this manuscript, a class of generalized ψ , α , β -weak contraction is introduced and some fixed point theorems in the framework of b -metric space are proved. The result presented in this paper generalizes some of the earlier results in the existing literature. Further, some examples and an application are provided to illustrate our main result.

ACS Style

Maryam Iqbal; Afshan Batool; Ozgur Ege; Manuel de la Sen. Fixed Point of Generalized Weak Contraction in b -Metric Spaces. Journal of Function Spaces 2021, 2021, 1 -8.

AMA Style

Maryam Iqbal, Afshan Batool, Ozgur Ege, Manuel de la Sen. Fixed Point of Generalized Weak Contraction in b -Metric Spaces. Journal of Function Spaces. 2021; 2021 ():1-8.

Chicago/Turabian Style

Maryam Iqbal; Afshan Batool; Ozgur Ege; Manuel de la Sen. 2021. "Fixed Point of Generalized Weak Contraction in b -Metric Spaces." Journal of Function Spaces 2021, no. : 1-8.

Research article
Published: 14 June 2021 in Advances in Mathematical Physics
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In this paper, we establish strong and Δ convergence results for mappings satisfying condition B γ , μ through a newly introduced iterative process called JA iteration process. A nonlinear Hadamard space is used the ground space for establishing our main results. A novel example is provided for the support of our main results and claims. The presented results are the good extension of the corresponding results present in the literature.

ACS Style

Kifayat Ullah; Junaid Ahmad; Akbar Ali Khan; Manuel de la Sen. Fixed Point Approximation for a Class of Generalized Nonexpansive Mappings in Hadamard Spaces. Advances in Mathematical Physics 2021, 2021, 1 -8.

AMA Style

Kifayat Ullah, Junaid Ahmad, Akbar Ali Khan, Manuel de la Sen. Fixed Point Approximation for a Class of Generalized Nonexpansive Mappings in Hadamard Spaces. Advances in Mathematical Physics. 2021; 2021 ():1-8.

Chicago/Turabian Style

Kifayat Ullah; Junaid Ahmad; Akbar Ali Khan; Manuel de la Sen. 2021. "Fixed Point Approximation for a Class of Generalized Nonexpansive Mappings in Hadamard Spaces." Advances in Mathematical Physics 2021, no. : 1-8.

Research article
Published: 14 June 2021 in Mathematical Problems in Engineering
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In this article, we suggest some Δ and strong convergence results of a three-step Sahu–Thakur iteration process for Garcia-Falset maps in the nonlinear setting of CAT(0) spaces. We furnish a new example of Garcia-Falset maps and prove that its three-step Sahu–Thakur iterative process is more effective than the many well-known iterative processes. Our results improve and extend some recently announced results of the current literature.

ACS Style

Kifayat Ullah; Junaid Ahmad; Muhammad Arshad; Manuel De la Sen. Fixed-Point Convergence Results of a Three-Step Iterative Process in CAT(0) Spaces. Mathematical Problems in Engineering 2021, 2021, 1 -8.

AMA Style

Kifayat Ullah, Junaid Ahmad, Muhammad Arshad, Manuel De la Sen. Fixed-Point Convergence Results of a Three-Step Iterative Process in CAT(0) Spaces. Mathematical Problems in Engineering. 2021; 2021 ():1-8.

Chicago/Turabian Style

Kifayat Ullah; Junaid Ahmad; Muhammad Arshad; Manuel De la Sen. 2021. "Fixed-Point Convergence Results of a Three-Step Iterative Process in CAT(0) Spaces." Mathematical Problems in Engineering 2021, no. : 1-8.

Journal article
Published: 12 June 2021 in Mathematics
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The implementation and integration of new methods and control techniques to floating offshore wind turbines (FOWTs) have the potential to significantly improve its structural response. This paper discusses the idea of integrating oscillating water columns (OWCs) into the barge platform of the FOWT to transform it into a multi-purpose platform for harnessing both wind and wave energies. Moreover, the OWCs will be operated in order to help stabilize the FOWT platform by means of an airflow control strategy used to reduce the platform pitch and tower top fore-aft displacement. This objective is achieved by a proposed complementary airflow control strategy to control the valves within the OWCs. The comparative study between a standard FOWT and the proposed OWC-based FOWT shows an improvement in the platform’s stability.

ACS Style

Fares M’Zoughi; Payam Aboutalebi; Izaskun Garrido; Aitor Garrido; Manuel De La Sen. Complementary Airflow Control of Oscillating Water Columns for Floating Offshore Wind Turbine Stabilization. Mathematics 2021, 9, 1364 .

AMA Style

Fares M’Zoughi, Payam Aboutalebi, Izaskun Garrido, Aitor Garrido, Manuel De La Sen. Complementary Airflow Control of Oscillating Water Columns for Floating Offshore Wind Turbine Stabilization. Mathematics. 2021; 9 (12):1364.

Chicago/Turabian Style

Fares M’Zoughi; Payam Aboutalebi; Izaskun Garrido; Aitor Garrido; Manuel De La Sen. 2021. "Complementary Airflow Control of Oscillating Water Columns for Floating Offshore Wind Turbine Stabilization." Mathematics 9, no. 12: 1364.

Journal article
Published: 18 May 2021 in Computation
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Breast Cancer is one of the most common diseases among women which seriously affect health and threat to life. Presently, mammography is an uttermost important criterion for diagnosing breast cancer. In this work, image of breast cancer mass detection in mammograms with 1024×1024 pixels is used as dataset. This work investigates the performance of various approaches on classification techniques. Overall support vector machine (SVM) performs better in terms of log-loss and classification accuracy rate than other underlying models. Therefore, further extensions (i.e., multi-model ensembles method, Fuzzy c-means (FCM) clustering and SVM combination method, and FCM clustering based SVM model) and comparison with SVM have been performed in this work. The segmentation by FCM clustering technique allows one piece of data to belong in two or more clusters. The additional parts are due to the segmented image to enhance the tumor-shape. Simulation provides the accuracy and the area under the ROC curve for mini-MIAS are 91.39% and 0.964 respectively which give the confirmation of the effectiveness of the proposed algorithm (FCM-based SVM). This method increases the classification accuracy in the case of a malignant tumor. The simulation is based on R-software.

ACS Style

Sarada Ghosh; Guruprasad Samanta; Manuel De la Sen. Multi-Model Approach and Fuzzy Clustering for Mammogram Tumor to Improve Accuracy. Computation 2021, 9, 59 .

AMA Style

Sarada Ghosh, Guruprasad Samanta, Manuel De la Sen. Multi-Model Approach and Fuzzy Clustering for Mammogram Tumor to Improve Accuracy. Computation. 2021; 9 (5):59.

Chicago/Turabian Style

Sarada Ghosh; Guruprasad Samanta; Manuel De la Sen. 2021. "Multi-Model Approach and Fuzzy Clustering for Mammogram Tumor to Improve Accuracy." Computation 9, no. 5: 59.

Accepted manuscript
Published: 14 May 2021 in Physica Scripta
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This paper studies a new extended SEIR (susceptible-exposed-infectious recovered) epidemic model which incorporates the contribution of infective contagions to the resident population from infective exposed (Eo) and infectious (Io) outsiders as well as eventual delayed re-susceptibility by partial loss of immunity. It is referred to as a SEIRDEoIo since the dead individuals caused by the disease are defined as a new subpopulation. The potential contribution of the disease propagation of nonresident external infected travellers is considered as well as a re-susceptibility which increases the susceptible numbers and a parallel loss of immunity caused by a potential delayed re-infection. The model is also studied under eventual vaccination and treatment controls each one of them including two additive terms including proportional feedback of the susceptible and infectious, respectively, as well as control actions being independent of the population numbers. The disease-free and endemic equilibrium points are characterized, as well as their dependence on the control gains, and their stability properties are also studied. It is found that they are unique and only one of the two is a global attractor depending on the model parameter values. Typically, the value of the basic reproduction number is crucial to characterize the stability or, alternatively, that of the coefficient transmission rate provided that the remaining parameters are prefixed. The controls are also useful to increase the admissible minimum threshold of the infection force compatible with the stability of the disease-free equilibrium point. Simulation results are given, some of them related to parameterizations of usefulness related to the recent COVID-19, while others to a varicella case study.

ACS Style

Manuel De la Sen; Asier Ibeas; Aitor J. Garrido. On a new SEIRDE o I o epidemic model eventually initiated from outside with delayed re-susceptibility and vaccination and treatment feedback controls. Physica Scripta 2021, 96, 095002 .

AMA Style

Manuel De la Sen, Asier Ibeas, Aitor J. Garrido. On a new SEIRDE o I o epidemic model eventually initiated from outside with delayed re-susceptibility and vaccination and treatment feedback controls. Physica Scripta. 2021; 96 (9):095002.

Chicago/Turabian Style

Manuel De la Sen; Asier Ibeas; Aitor J. Garrido. 2021. "On a new SEIRDE o I o epidemic model eventually initiated from outside with delayed re-susceptibility and vaccination and treatment feedback controls." Physica Scripta 96, no. 9: 095002.

Journal article
Published: 29 April 2021 in Mathematics
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The main aim of this paper is to introduce and study some fixed point results for rational multivalued G-contraction and F-Khan-type multivalued contraction mappings on a metric space with a graph. At the end, we give an illustrative example.

ACS Style

Özlem Acar; Hassen Aydi; Manuel De la Sen. New Fixed Point Results via a Graph Structure. Mathematics 2021, 9, 1013 .

AMA Style

Özlem Acar, Hassen Aydi, Manuel De la Sen. New Fixed Point Results via a Graph Structure. Mathematics. 2021; 9 (9):1013.

Chicago/Turabian Style

Özlem Acar; Hassen Aydi; Manuel De la Sen. 2021. "New Fixed Point Results via a Graph Structure." Mathematics 9, no. 9: 1013.

Journal article
Published: 22 April 2021 in Axioms
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In the present work, we consider the best proximal problem related to a coupled mapping, which we define using control functions and weak inequalities. As a consequence, we obtain some results on coupled fixed points. Our results generalize some recent results in the literature. Also, as an application of the results obtained, we present the solution to a system of a coupled Fredholm nonlinear integral equation. Our work is supported by several illustrations.

ACS Style

Pulak Konar; Sumit Chandok; Shrutinil Dutta; Manuel De la Sen. Coupled Optimal Results with an Application to Nonlinear Integral Equations. Axioms 2021, 10, 73 .

AMA Style

Pulak Konar, Sumit Chandok, Shrutinil Dutta, Manuel De la Sen. Coupled Optimal Results with an Application to Nonlinear Integral Equations. Axioms. 2021; 10 (2):73.

Chicago/Turabian Style

Pulak Konar; Sumit Chandok; Shrutinil Dutta; Manuel De la Sen. 2021. "Coupled Optimal Results with an Application to Nonlinear Integral Equations." Axioms 10, no. 2: 73.