Stability and Iterative Procedures for Quadrupled Fixed Point in Partially Ordered Metric Spaces

The concept of fixed point is of great interest in mathematics as well as in many areas of applied sciences. Previously, the question of fixed points in partially ordered metric spaces had been studied, and quadrupled fixed point theorem is a continuation of the tripled fixed point theorem. This work presents the stability for quadrupled fixed point iterative procedure with the aid of some mathematical analysis properties, and establishes results for mixed monotone mappings which satisfy its contractive-type conditions. The results of this work extend some of the results in literature.