Fixed Point Results in b-Fuzzy Metric Spaces with Applications to Nonlinear Fuzzy Integral Equations

Authors

  • Dinesh K K.Ramakrishnan College of Engineering(Autonomous), Trichy, India
  • Dritan Gerbeti Department of Mathematics Faculty of Natural Sciences University of Shkodra ”Luigj Gurakuqi” 4001 Shkod¨er, Albania
  • Kastriot Zoto Department of Mathematics, Informatics and Physics Faculty of Natural Sciences University of Gjirokastra 6001 Gjirokastra, Albania
  • B. Shoba Assistant Professor, Department of Mathematics, St Joseph's College of Engineering, OMR Chennai -6000019, Tamilnadu India
  • B. Shoba Assistant Professor, Department of Mathematics, St Joseph's College of Engineering, OMR Chennai -6000019, Tamilnadu India
  • Hawa Ibnouf Osman Ibnouf Department of Mathematics College of science, Qassim University, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.7013

Keywords:

Fuzzy metric space, $b$-fuzzy metric, fuzzy mapping, fuzzy contraction, nonlinear fuzzy integral equation, Fixed Point

Abstract

In this paper, we establish several new fixed point (FP) theorems for fuzzy mappings in the framework of complete $b$-fuzzy metric spaces (FMS). We introduce generalized contractive conditions that extend and unify a wide class of existing FP principles in fuzzy and non-fuzzy settings. Our results cover and generalize many classical theorems, and their strength is demonstrated by an application to the existence of fuzzy solutions of nonlinear integral equations. The findings highlight the relevance of $b$-FMSs in handling uncertainty and imprecision arising in real-world models

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Functional Analysis

License

Copyright (c) 2025 Dinesh K, Dritan Gerbeti, Kastriot Zoto, B. Shoba, B. Shoba, Hawa Ibnouf Osman Ibnouf

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How to Cite

Fixed Point Results in b-Fuzzy Metric Spaces with Applications to Nonlinear Fuzzy Integral Equations. (2025). European Journal of Pure and Applied Mathematics, 18(4), 7013. https://doi.org/10.29020/nybg.ejpam.v18i4.7013