• 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

  • Pages
    7
  • From page
    741
  • To page
    747
  • 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
  • Serial Year
    2021
  • Record number

    2607489