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