• Title of article

    Sufficiency and duality for a nonsmooth vector optimization problem with generalized $\alpha$-$d_{I}$-type-I univexity over cones

  • Author/Authors

    Jiao، Hehua نويسنده Yangtze Normal University‎ ,

  • Issue Information
    دوماهنامه با شماره پیاپی 0 سال 2016
  • Pages
    11
  • From page
    285
  • To page
    295
  • Abstract
    ‎In this paper‎, ‎using Clarkeʹs generalized directional derivative and $d_{I}$-invexity‎, ‎we introduce new concepts of nonsmooth $K$-$\alpha$-$d_{I}$-invex and generalized type I univex functions over cones for a nonsmooth vector optimization problem with cone constraints‎. ‎We obtain some sufficient optimality conditions and Mond-Weir type duality results under the foresaid generalized invexity and type I‎ ‎cone-univexity assumptions‎.
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    2388593