Coupled Common Fixed Point Theorems under Weak Contractions in Cone Metric Type Spaces

Hamidreza Rahimi, Ghasem Soleimani Rad, Poom Kumam

Abstract

In this paper we define the concept of a coupled common fixed point for contractive conditions in a cone metric type space and prove some coupled common fixed point theorems. In the sequel, we obtain a general approach for our theorems. These results extend, unify and generalize several well known comparable results in the existing literature.