A note on cone metric spaces and common fixed point results for set-valued mappings with applications

Abstract

The aim of this paper is to establish the existence and uniqueness of common fixed point for a pair of set - valued mappings satisfying more generalized constructive condition in the cone metric spaces setting with normal constant M = 1. An illustrative example is provided to support the result obtained. As an application, prove the well–posedness of the common fixed point problem. The presented results generalize many known results in cone metric spaces.