• DocumentCode
    3509211
  • Title

    Solvability of Set-Valued Vector Optimization Problem

  • Author

    Chen, JiaWei ; Yin, Qi

  • Author_Institution
    Coll. of Math. & Inf., China West Normal Univ., Nanchong
  • Volume
    3
  • fYear
    2009
  • fDate
    7-8 March 2009
  • Firstpage
    934
  • Lastpage
    938
  • Abstract
    In this paper, the authors introduce Dini derivative operator in the sense of set-values, establish the relations between set-valued vector quasi-variational inequality and set-valued vector optimization problems, and prove the existence of a weak minimum for a class of constrained set-valued vector optimization problem by making use of quasi-variational inequality and extending pseudo D-invex functions.
  • Keywords
    computability; mathematical operators; optimisation; set theory; vectors; Dini derivative operator; pseudo D-invex function; set-valued vector optimization problem; set-valued vector quasi variational inequality problem; solvability; Computer science; Computer science education; Constraint optimization; Constraint theory; Educational institutions; Educational technology; Game theory; Mathematics; Physics; Sufficient conditions; Dini derivative; Fan-KKM theorem; set-valued vector optimization problem; set-valued vector quasi-variational inequality problem;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Education Technology and Computer Science, 2009. ETCS '09. First International Workshop on
  • Conference_Location
    Wuhan, Hubei
  • Print_ISBN
    978-1-4244-3581-4
  • Type

    conf

  • DOI
    10.1109/ETCS.2009.746
  • Filename
    4959461