Mathematical Analysis and its Contemporary Applications

Solving nonlinear integral equation using fuzzy F-Interpolative Berinde weak contraction

10.30495/maca.2025.2066672.1144
Volume 7, Issue 4
Autumn 2025
Pages 1-11
Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Shobha Jain 1
Shishir Jain 1
Stojan Radenović 2

1 Shri Vaishnav Vidyapeeth Vishwavidyalaya, Indore (M.P.), India

2 Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd 35, Serbia

Abstract
This study presents a contraction referred to as fuzzy F-interpolative Berinde weak contraction, achieved by integrating two primary contractions, namely F-contraction and Berinde weak contraction, using a F-function within a fuzzy metric space. Utilizing this contraction, we have established a fixed point theorem applicable to self-mappings. To illustrate the implications of our results, we investigate the existence of solutions for nonlinear integral equations. An example has been devised to substantiate the established result.

Keywords

Fuzzy metric space
fixed point
F-contraction
fuzzy F-Interpolative Berinde weak contraction
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  • Receive Date 23 July 2025
  • Revise Date 01 October 2025
  • Accept Date 21 October 2025

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