• Title of article

    A note on coincidence points of multivalued weak G-contraction mappings

  • Author/Authors

    Alfuraidan ، Monther Rashed - King Fahd University of Petroleum and Minerals , Khamsi ، Mohamed Amine - University of Texas at El Paso

  • Pages
    6
  • From page
    4098
  • To page
    4103
  • Abstract
    In this note, we discuss the definition of the multivalued weak contraction mappings defined in a metric space endowed with a graph as introduced by Hanjing and Suantai[A. Hanjing, S. Suantai, Fixed Point Theory Appl., 2015 (2015), 10 pages]. In particular, we show that this definition is not correct and give the correct definition of the multivalued weak contraction mappings defined in a metric space endowed with a graph. Then we prove the existence of coincidence points for such mappings.
  • Keywords
    Directed graph , coincidence points , weak G , contraction mappings , Reich multivalued mapping.
  • Journal title
    Journal of Nonlinear Science and Applications
  • Serial Year
    2016
  • Journal title
    Journal of Nonlinear Science and Applications
  • Record number

    2476048