On ρ-Contraction in G-Metric Space

Abstract

In this paper, we introduced a new type of a contractive condition defined on G-metric space, namely a ρ-contraction, which generalizes the weak contraction. We also proved some fixed point theorems for such a condition in ordered metric spaces. A supporting example of our results is provided in the last part of our paper as well.

Key words and phrases. ρ-function; ρ-contraction; G-metric space.

2000 Mathematics Subject Classification. 47H09; 47H10; 54H25