Common fixed point of multivalued graph contraction in metric spaces

Document Type: Research Paper

Authors

Department of Mathematics, Faculty of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran

Abstract

In this paper, we introduce the (G-$\psi$) contraction in a metric space by using a graph. Let $F,T$ be two multivalued mappings on $X.$ Among other things, we obtain a common fixed point of the mappings $F,T$ in the metric space $X$ endowed with a graph $G.$

Keywords