Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 01 01 Common fixed point of multivalued graph contraction in metric spaces 225 230 309 10.22075/ijnaa.2015.309 EN Masoud Hadian Dehkordi Department of Mathematics, Faculty of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran Masoud Ghods Department of Mathematics, Faculty of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran Journal Article 2014 11 30 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 $G.$ Fixed point multivalued common(G-$psi$) contraction directed graph https://ijnaa.semnan.ac.ir/article_309_2b668c7b7359b2f90973027b71b332c3.pdf