Fixed point theorems for weak contraction in partially ordered G-metric space

Abstract

In this article, we present some fixed point theorems in partially ordered G-metric space using the concept of $(\psi ,\varphi )$- weak contraction which extend many existing fixed point theorems in such space. We also give some examples to show that if we transform a metric space into a G-metric space our results are not equivalent to the existing results in metric space.