ON FIXED POINT THEOREMS IN MR-METRIC SPACES

Abstract

we explore a generalization of the contraction principle within the context of MR-metric spaces. The main objective is to establish results obtained by generalizing Rhoades' fixed point theorems. Furthermore, we focus on proving fixed point theorems specifically designed for MR-metric spaces developed by Malkawi. This research contributes to the understanding and application of fixed point theory in the field of MR-metric spaces. By extending existing principles and theorems, we aim to provide a broader perspective and deeper insights into the properties and behavior of fixed points in these spaces.