Satyendra Narayan

Dr. Satyendra Narayan

orcid

Research Focus & Metrics

Academic Career Length

7Years (2020-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

View All Publications
15 May 2024 in Symmetry
Verified
Journal Article
Open access
PDF file
SGSamriddhi Ghosh
Samriddhi Ghosh
SOSonam
Sonam
RBRamakant Bhardwaj
Ramakant Bhardwaj
SNSatyendra Narayan
Satyendra Narayan
The present research introduces a novel concept termed “neutrosophic fuzzy metric space”, which extends the traditional metric space framework by incorporating the notion of neutrosophic fuzzy sets. A thorough investigation of various structural and topological properties within this newly proposed generalization of metric space has been conducted. Additionally, counterparts of well-known theorems such as the Uniform Convergence Theorem and the Baire Category Theorem have been established for this generalized metric space. Through rigorous analysis, a detailed understanding of its fundamental characteristics has been attained, illuminating its potential applications and theoretical significance.

20 July 2023 in Mathematics
Verified
Journal Article
Open access
PDF file
SOSonam
Sonam
RBRamakant Bhardwaj
Ramakant Bhardwaj
SNSatyendra Narayan
Satyendra Narayan
The primary objective of the paper is to present the Banach contraction theorem in soft fuzzy metric spaces while taking into consideration a restriction on the soft fuzzy metric between the soft points of the absolute soft set. A new altering distance function, namely the Ψ-contraction function, is introduced on soft fuzzy metric spaces, and some fixed point results are proven by considering soft mappings that comprise Ψ-contraction with the continuity of soft t-norm. In addition to that, some illustrations are supplied for the support of the established soft fuzzy Banach contraction theorem and fixed point results over Ψ-contraction mappings. The obtained results generalize and extend some well-known results present in the literature on fixed point theory.

30 August 2024
Verified
Book Chapter
Closed access
PDF file
MSManisha Singh
Manisha Singh
PBPurvee Bhardwaj
Purvee Bhardwaj
RBRamakant Bhardwaj
Ramakant Bhardwaj
SNSatyendra Narayan
Satyendra Narayan

4 December 2023 in Advances in Fuzzy Systems
Verified
Journal Article
Open access
PDF file
SOSonam
Sonam
VRVandana Rathore
Vandana Rathore
APAmita Pal
Amita Pal
RBRamakant Bhardwaj
Ramakant Bhardwaj
SNSatyendra Narayan
Satyendra Narayan
This research paper introduces a comprehensive study on fixed points in orthogonal fuzzy metric spaces. The primary objective is to establish the existence and uniqueness of fixed points for self-mappings satisfying implicit relation criteria in complete orthogonal fuzzy metric spaces. By doing so, our proven results extend and generalise well-known findings in the field of fixed-point theory. To demonstrate the significance of the established results, several related examples are provided, serving to support and validate the theoretical findings in orthogonal fuzzy metric spaces. The implications of these results are discussed, shedding light on their potential applications in various practical scenarios. In addition to theoretical advancements, the paper also demonstrates a practical application of our established results in solving integral equations. This application exemplifies the effectiveness and versatility of the proposed approach in real-world problem-solving scenarios.

23 June 2023 in SN Computer Science
Verified
Journal Article
Closed access
PDF file
RBRamakant Bhardwaj
Ramakant Bhardwaj
HSHitendra Suyryavanshi
Hitendra Suyryavanshi
RSR. N. Singh
R. N. Singh
SNSatyendra Narayan
Satyendra Narayan