Title of article :
Fixed point of set-valued graph contractions in metric spaces
Author/Authors :
Hadian Dehkordi, Masoud Department of Mathematics - Faculty of Basic Science - Iran University of Science and Technology, Narmak, Tehran, Iran. , Ghods, Masoud Department of Mathematics - Faculty of Basic Science - Iran University of Science and Technology, Narmak, Tehran, Iran
Abstract :
In this paper, we introduce the (G-ψ) contraction in a metric space by using a graph. Let T be a multivalued mappings on X. Among other things, we obtain a fixed point of the mapping T in the metric space X endowed with a graph G such that the set of vertices of G, V(G)=X and the set of edges of G, E(G)⊆X×X.
Keywords :
Fixed point , multivalued , (G-psi) contraction , directed graph
Journal title :
International Journal of Nonlinear Analysis and Applications
