10.30495/maca.2025.2066672.1144

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

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  • Shobha Jain*1,
  • Shishir Jain1,
  • Stojan Radenović2,
  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

Revised: 2025-07-23

Published in Issue 2025-11-10

How to Cite

Solving nonlinear integral equation using fuzzy F-Interpolative Berinde weak contraction. (2025). Mathematical Analysis and Its Contemporary Applications, 7(4). https://doi.org/10.30495/maca.2025.2066672.1144

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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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References

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