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

Document Type : Research Articles


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


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.