Title: Existence And Uniqueness Of Solutions Of Integral Equations Via Fixed Point Theorems In Discrete G-Metric Spaces

Abstract

The purpose of this paper is to introduce and study the Banach Fixed Point Theorem in the framework of G-metric 
spaces, with particular emphasis on discrete G-metric spaces. The study establishes suitable conditions under 
which the existence and uniqueness of fixed points can be guaranteed. These fixed-point results are then applied 
to investigate the existence and uniqueness of solutions for Fredholm and Volterra integral equations in discrete 
G-metric spaces. The approach provides a useful extension of classical fixed-point techniques to a more general 
metric framework. Several illustrative examples are presented to demonstrate the applicability of the obtained 
results and to clarify the theoretical developments. The results may contribute to the further study of integral 
equations and fixed-point problems in generalized metric spaces.