Fixed point theorems for asymptotically $T$-regular mappings in preordered modular G-metric spaces applied to solving nonlinear integral equations

TL;DR

This paper establishes new fixed point theorems for asymptotically T-regular mappings within preordered modular G-metric spaces and applies these results to solve nonlinear integral equations.

Contribution

It introduces novel fixed point theorems for a specific class of mappings in a generalized space and demonstrates their application to nonlinear integral equations.

Findings

Proved fixed point theorems for asymptotically T-regular mappings

Generalized known results in the context of preordered modular G-metric spaces

Applied the theorems to solve nonlinear integral equations

Abstract

Our aim in this paper is to prove some interesting fixed point theorems for the class of asymptotically $T$-regular mappings in the framework of preordered modular G-metric spaces. Our results are novel and generalizes several know results. Furthermore we apply our results in solving nonlinear integral equations.