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

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.