Rho-T-Stability of some fixed point iterations with respect to operators satisfying contractive conditions of integral type in modular function spaces.

Abstract

Recently, Okeke and Khan [1] extended the concepts of T-stability, almost T-stability and summably almost T-stability to modular function spaces and proved some fixed point theorems in the framework of modular function spaces. The purpose of the present paper is to continue in this research direction. We prove that some fixed point iterations is Rho-T-stable with respect to a generalized operator satisfying contractive conditions of integral type in modular function spaces.