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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 15 (2025), Article ID 29

Existence of fixed point in intuitionistic fuzzy b-metric space with application

Vishal Gupta, Anju -, Rahul Shukla

PDF (164.6 KB) https://doi.org/10.28919/afpt/8863

Abstract

In this paper, extended intuitionistic fuzzy b-metric space is defined and showing the properties crucial to its structure. Subsequently, the fixed point theorem within the framework of these extended intuitionistic fuzzy b-metric spaces has been established. Our findings not only extend but also generalize the existing results in the current literature, demonstrating symmetrical patterns and properties within these mathematical frameworks. To underscore the effectiveness of the proposed methodologies, a nontrivial example is employed. Additionally, application related to the existence and uniqueness of solutions for a specific class of Fredholm integral equations is explored to highlight the practical implications of our main results.

Published
28 July 2025
Volume
15 (2025)
License
CC BY 3.0

Copyright © 2025 Vishal Gupta, Anju -, Rahul Shukla. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

V. Gupta, A. -, R. Shukla, Existence of fixed point in intuitionistic fuzzy b-metric space with application, Adv. Fixed Point Theory 15 (2025), 29. https://doi.org/10.28919/afpt/8863

BibTeX
@article{Gupta2025,
  author  = {Gupta, Vishal and -, Anju and Shukla, Rahul},
  title   = {Existence of fixed point in intuitionistic fuzzy b-metric space with application},
  journal = {Adv. Fixed Point Theory},
  volume  = {15},
  year    = {2025},
  pages   = {29},
  doi     = {10.28919/afpt/8863}
}