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
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