Nonlinear Fredholm Integral Equation via Fixed Point Theorems on Convex Contraction in Multiplicative Metric Spaces

Authors

A Mary Priya Dharsini
PG & Research Department of Mathematics, Holy Cross College (Autonomous), Tiruchirappalli
P. Joselin Lavino
PG & Research Department of Mathematics, Holy Cross College (Autonomous), Tiruchirappalli

Synopsis

This paper introduces the notion of a multiplicative convex contraction mapping and provides the proof of several fixed-point theorems within the framework of multiplicative metric spaces. To illustrate the practical significance of our primary findings, we include an illustrative example. Furthermore, we employ our results to investigate both the existence and uniqueness of solutions for nonlinear fredholm integral equation.

ICRTMCS-2023
Published
October 19, 2023