FUZZY METRIC APPROACH TO $(\kappa,\alpha,\beta)$-INTERPOLATIVE KANNAN CONTRACTIONS AND NONLINEAR INTEGRAL EQUATIONS

Jaynendra Shrivas; Rohit Kumar Verma

doi:https://doi.org/10.56827/JRSMMS.2025.1301.12

Jaynendra Shrivas Department of Mathematics, Shahid Durwasha Nishad Govt. College, Arjunda, Balod, 491225, Chhattisgarh, INDIA

Rohit Kumar Verma Department of Mathematics, Govt. Chandulal Chandrakar Arts and Science College, Patan, Durg, 491111, Chhattisgarh, INDIA

Volume 13, Issue 1 Pages 173-182 December 30, 2025 60 downloads

Article overview

Abstract

In this paper, we extend the concept of interpolative Kannan-type contractions to complete fuzzy metric spaces and establish the existence and uniqueness of fixed points. A Picard iteration scheme is shown to converge to the unique fixed point. An illustrative example involving a nonlinear integral equation demonstrates the applicability of the main result.

Keywords and Phrases

Fuzzy metric spaceinterpolative Kannan contractionfixed point.

AMS Subject Classification

47H10, 49T99, 54H25.

Reference information

How to Cite

Jaynendra Shrivas, Rohit Kumar Verma (2025). FUZZY METRIC APPROACH TO $(\kappa,\alpha,\beta)$-INTERPOLATIVE KANNAN CONTRACTIONS AND NONLINEAR INTEGRAL EQUATIONS. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 13(1), 173-182.

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