• Title of article

    Almost monotone contractions on weighted graphs

  • Author/Authors

    Alfuraidan ، Monther R. - King Fahd University of Petroleum and Minerals , Bachar ، Mostafa - King Saud University , Khamsi ، Mohamed A. - University of Texas at El Paso

  • Pages
    7
  • From page
    5189
  • To page
    5195
  • Abstract
    Almost contraction mappings were introduced as an extension to the contraction mappings for which the conclusion of the Banach contraction principle (BCP in short) holds. In this paper, the concept of monotone almost contractions defined on a weighted graph is introduced. Then a fixed point theorem for such mappings is given.
  • Keywords
    Almost contraction , directed graph , fixed point , monotone mapping , multivalued mapping
  • Journal title
    Journal of Nonlinear Science and Applications
  • Serial Year
    2016
  • Journal title
    Journal of Nonlinear Science and Applications
  • Record number

    2475606