• Title of article

    A class of functions whose sublevel sets are absolute retracts

  • Author/Authors

    Ricceri، نويسنده , , Biagio، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2008
  • Pages
    3
  • From page
    871
  • To page
    873
  • Abstract
    In this paper, we prove a result of which the following is a corollary: If X is a Banach space and J : X → R is a contraction, then the nonempty sublevel sets of the function x → ‖ x ‖ + J ( x ) are absolute retracts.
  • Keywords
    Sublevel set , Absolute retract , Set-valued contraction , Fixed point
  • Journal title
    Topology and its Applications
  • Serial Year
    2008
  • Journal title
    Topology and its Applications
  • Record number

    1581632