• DocumentCode
    1894469
  • Title

    Gap Functions and Existence of Solutions for a System of Generalized Vector Equilibrium Problems

  • Author

    Nan, Lu ; Zhao, Yali

  • Author_Institution
    Coll. of Math. & Phys., Bohai Univ., Jinzhou, China
  • Volume
    1
  • fYear
    2012
  • fDate
    23-25 March 2012
  • Firstpage
    75
  • Lastpage
    79
  • Abstract
    In this paper, a gap function for a system of generalized vector equilibrium problems (for short, SGVEP) is introduced and studied. Some necessary and sufficient conditions for the SGVEP are established. Characterizations of the solutions set for the SGVEP are also derived. Furthermore, some existence results of solutions for the SGVEP are proved.
  • Keywords
    variational techniques; SGVEP; gap functions; solutions set; system of generalized vector equilibrium problems; variational inequalities; Educational institutions; Indexes; Optimization; Physics; Sufficient conditions; Vectors; Convex cones; Gap functions; SGVEP; Set-valued mappings;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Science and Electronics Engineering (ICCSEE), 2012 International Conference on
  • Conference_Location
    Hangzhou
  • Print_ISBN
    978-1-4673-0689-8
  • Type

    conf

  • DOI
    10.1109/ICCSEE.2012.237
  • Filename
    6187831