• Title of article

    Composition of resolvents and quasinonexpansive multivalued mappings in Hadamared spaces

  • Author/Authors

    ZAMANI ESKANDANI ، G. - ‎University of Tabriz‎ , Azarmi ، S. - ‎University of Tabriz‎ , Eslamian ، M. - ‎University of Science and Technology of Mazandaran‎

  • Pages
    17
  • From page
    1939
  • To page
    1955
  • Abstract
    ‎The proximal point algorithm‎, ‎which is a well-known tool for finding‎ ‎minima of convex functions‎, ‎is generalized from the classical‎ ‎Hilbert space framework into a nonlinear setting‎, ‎namely‎, ‎geodesic‎ ‎metric spaces of nonpositive curvature‎. ‎In this paper we propose an‎ ‎iterative algorithm for finding the common element of the‎ ‎minimizers of a finite family of convex functions and the common ‎fixed points of a finite family of quasi-nonexpansive multivalued‎ ‎mappings in Hadamard‎ ‎spaces.
  • Keywords
    Proximal point algorithm , CAT(0) spaces , nonexpansive multivalued mappings
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Serial Year
    2017
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    2456202