Some Geraghty Type Inequalities in b-fuzzy Metric Spaces with an Application

Authors

  • Vineeta Chandra Guru Ghasidas Vishawavidyalaya, bilaspur
  • Uma Devi Patel Guru Ghasidas Vishwavidyalaya, Bilaspur, CG India
  • Stojan Radenovic

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5428

Keywords:

b-fuzzy metric space,, Geraghty type mapping, α-Suzuki Geraghty type contraction

Abstract

In this note, we introduce novel Geraghty-type inequalities within the framework of a b-fuzzy metric space and develop new fixed point theorems for such mappings in a G-complete b-fuzzy metric space. To substantiate our findings, we present several illustrative examples using graphical methods. Additionally, we demonstrate the application of our introduced theorems by solving a non-linear integral equation, showing the practical utility of our results.

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Published

2024-10-31

Issue

Section

Nonlinear Analysis

How to Cite

Some Geraghty Type Inequalities in b-fuzzy Metric Spaces with an Application. (2024). European Journal of Pure and Applied Mathematics, 17(4), 2384-2404. https://doi.org/10.29020/nybg.ejpam.v17i4.5428