• Title of article

    EQUILIBRIUM PROBLEMS an‎d FIXED POINT PROBLEMS FOR NONSPREADING-TYPE MAPPINGS IN HILBERT SPACE

  • Author/Authors

    SINGTHONG, URAILUK Department of Mathematics - Faculty of Science - Chiang Mai University - Chiang Mai, Thailand , SUANTAI, SUTHEP Department of Mathematics - Faculty of Science - Chiang Mai University - Chiang Mai, Thailand

  • Pages
    11
  • From page
    51
  • To page
    61
  • Abstract
    In this paper by using the idea of mean convergence, we introduce an iterative scheme for nding a common element of the set of solutions of an equilibrium problem and the xed points set of a nonspreading-type mappings in Hilbert space. A strong convergence theorem of the proposed iterative scheme is established under some control conditions. The main result of this paper extend the results obtained by Osilike and Isiogugu (Nonlinear Analysis 74 (2011) 1814- 1822) and Kurokawa and Takahashi (Nonlinear Analysis 73 (2010) 1562-1568). We also give an example and numerical results are also given.
  • Keywords
    k-strictly pseudononspreading mappings , nonspreading mappings , strong convergence , equilibrium problem , Hilbert spaces
  • Journal title
    Astroparticle Physics
  • Serial Year
    2011
  • Record number

    2441667

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2441667