Ms. Swapnil Verma
Assistant Professor,Kamala Nehru College,University of Delhi
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Academic Career Length
7Years (2020-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications1 January 2021 in AIMS Mathematics
Journal Article
PGPRAGATI GAUTAM
PRAGATI GAUTAM
Lakshmi Narayan MishraRARifaqat Ali
Rifaqat Ali
Swapnil VermaThe fixed point results for Chatterjea type contraction in the setting of Complete metric space exists in literature. Taking this approach forward Karapinar gave the concept of cyclic Chatterjea contraction mappings. Fan also worked on these cyclic mappings in a new setting of quasi-partial b-metric space. Motivated by the work of these researchers, we have introduced the notion of $qp_{b}$-cyclic Chatterjea contractive mappings and established fixed point results on them. The aim of this paper is to use an interpolative approach in the framework of quasi-partial b-metric space and to prove existence and uniqueness of fixed point theorem for $qp_{b}$-interpolative Chatterjea contraction mappings. The results are affirmed with applications based on them.
Journal Article
Lakshmi Narayan Mishra
Luis Manuel Sánchez RuizPGPRAGATI GAUTAM
PRAGATI GAUTAMSwapnil VermaThe aim of this paper was to obtain common fixed point results by using an interpolative contraction condition given by Karapinar in the setting of complete metric space. Here in this paper, we have redefined the Reich–Rus–Ćirić type contraction and Hardy–Rogers type contraction in the framework of quasi-partial b-metric space and proved the corresponding common fixed point theorem by adopting the notion of interpolation. The results are further validated with the application based on them.
14 February 2021 in The Journal of Analysis
Journal Article
PGPRAGATI GAUTAM
PRAGATI GAUTAMSwapnil VermaJournal Article
PGPRAGATI GAUTAM
PRAGATI GAUTAMLuis Manuel Sánchez RuizSwapnil VermaThe purpose of this study is to introduce a new type of extended metric space, i.e., the rectangular quasi-partial b-metric space, which means a relaxation of the symmetry requirement of metric spaces, by including a real number s in the definition of the rectangular metric space defined by Branciari. Here, we obtain a fixed point theorem for interpolative Rus–Reich–Ćirić contraction mappings in the realm of rectangular quasi-partial b-metric spaces. Furthermore, an example is also illustrated to present the applicability of our result.
13 April 2022 in Journal of Function Spaces
Journal Article
PGPRAGATI GAUTAM
PRAGATI GAUTAMSKSantosh Kumar
Santosh KumarSwapnil VermaSGSoumya Gulati
Soumya GulatiIn this paper, our focus is to acquaint with the Suzuki-type mappings to establish some fixed point results using the new w-interpolative approach. We present some results for interpolative contraction operators via the w-admissible maps which satisfy the Kannan, Ćirić–Reich–Rus, and Hardy–Rogers contractions in quasi-partial b-metric space. Further, the outcomes so obtained are affirmed with relevant examples.
1 January 2022 in Journal of Mathematics
Journal Article
PGPRAGATI GAUTAM
PRAGATI GAUTAMSSShiv Raj Singh
Shiv Raj Singh
SKSantosh Kumar
Santosh KumarSwapnil VermaIn the present research paper, Chatterjea type contraction is defined and discussed in the framework of quasi‐partial b‐metric space. Further, some common fixed point results are proved using the notion of interpolation. The results are extended to fixed point theorems for modified Chatterjea type Suzuki contraction using w‐admissible maps. The results proved are new and unique supported by application which will enrich the existing literature.
About Me
Swapnil Verma has been working as an Assistant Professor in the Department of Mathematics, Kamala Nehru College, the University of Delhi since 2016. She holds a Master's Degree in Mathematics from the Indian Institute of Technology, Delhi. Internationally, IIT Delhi was ranked 193 in the QS World University Rankings of 2021. The same rankings ranked it 43 in Asia in 2020 and 18 among BRICS nations in 2019. It was ranked 401–500 in the world by the Times Higher Education World University Rankings of 2020, 67 in Asia, and 38 among Emerging Economies University Rankings in 2020. She was awarded the UGC-CSIR NET for a Lecturership in Mathematics. She was also awarded a National Fellowship from the Department of Science and Technology, Government of India.
Her areas of specialization include
1. Quasi- Partial b-Metric Spaces and Fixed Point Theorem
2. Functional Analysis and Topological Spaces
3. Interpolative contractions
To assist students in better understanding the visual aspect of Calculus and to strengthen their analytical abilities, she has made academic contributions in the form of two books:
1. Practical Mathematica - ANE International Publishing House Pvt. Ltd.
2. Analytical Geometry and Applied Algebra - Jeevansons Publications.
I also have the credit of 6 international Research Publications and remain an active member of various National and International Mathematical Bodies.
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