Fixed point of set-valued graph contractions in metric spaces

In this paper, we introduce the (G-\psi) 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)\subseteq X\times X.

کلیدواژه ها:

Fixed point ، multivalued ، (G-psi) contraction ، directed graph