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

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads :

Volume : 13 , Issue : 1
DOI: https://doi.org/10.56827/JRSMMS.2025.1301.12
Author :
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)

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 space, interpolative Kannan contraction, fixed point.

A.M.S. subject classification

47H10, 49T99, 54H25.

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