Common fixed point of multivalued graph contraction in metric spaces

Document Type : Research Paper


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


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 $G.$


Volume 7, Issue 1 - Serial Number 1
January 2016
Pages 225-230
  • Receive Date: 30 November 2014
  • Revise Date: 03 September 2015
  • Accept Date: 23 October 2015