Fixed Point Theorems in Neutrosophic Fuzzy Metric Space and a Characterization to its Completeness

Authors

  • Samriddhi Ghosh Department of Mathematics, Amity University Kolkata, India;
  • Ramakant Bhardwaj Department of Mathematics, Amity University Kolkata, India;
  • Satyendra Narayan School of Computer Science and Technology, Algoma University, Canada;
  • Sonam Sonam Department of Mathematics, Amity University Kolkata, India;

Keywords:

Fixed Point (FP); Fuzzy Sets (FS); Fuzzy Metric Space (FMS); Neutrosophic Sets (NS); Neutro sophic Fuzzy Sets (NFS); Neutrosophic Fuzzy Metric Space (NFMS); Kannan Contraction (KC).

Abstract

 The present research work aims to establish some basic conventional xed point theorems such as
 the Banach xed point theorem, Edelstein xed point theorem and Kannan xed point theorem, for a recently
 introduced topological space, known as the neutrosophic fuzzy metric space. The Kannan xed point theorem
 has also further been classi ed into two categories namely, (1 2) Kannan and (1) Kannan xed point theo
rems. Also the concept of semi-metric in the said space has been introduced, and along with it the results hence
 obtained are used to characterize the completeness of the mentioned space. To the best of known literatures,
 this type of work in the said space has not yet been found.

 

 

DOI: 10.5281/zenodo.14847620

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Published

2025-04-01

Issue

Vol. 81 (2025): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2025 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Samriddhi Ghosh, Ramakant Bhardwaj, Satyendra Narayan, & Sonam Sonam. (2025). Fixed Point Theorems in Neutrosophic Fuzzy Metric Space and a Characterization to its Completeness. Neutrosophic Sets and Systems, 81, 575-602. https://fs.unm.edu/nss8/index.php/111/article/view/5873