Some Fixed-Point Theorem for Multiplicative Convex Contraction Mappings with an Application

Abstract

The study introduces multiplicative convex contraction mappings of order 2, which extends the traditional notions of convex contractions to multiplicative metric spaces. Furthermore, a generalization of convex contraction mapping of order 2 introduces and establishes theorem regarding the existence and uniqueness of fixed points. To exemplify the practical utility of these theoretical developments, concrete examples discusses and apply to find the existence of solution for non linear Fredholm integral equation.