# Some fixed point results for weakly $b-(\varphi,G)$ contraction in $b-$metric spacs endowed with a graph

Document Type : Research Articles

Author

Department of Mathematics, College of Technical and Engineering, Saveh Branch, Islamic Azad University, Saveh, Iran.

Abstract

In this paper, we introduce the concept of weakly $b-(\varphi,G)$ contraction mapping in $b$-metric spaces endowed with a graph and give some fixed point results for such contractions.

Keywords