%0 Journal Article
%T Optimality conditions for Pareto efficiency and proper ideal point in set-valued nonsmooth vector optimization using contingent cone
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Chai, Y. F.
%A Liu, S. Y.
%D 2015
%\ 06/15/2015
%V 41
%N 3
%P 759-770
%! Optimality conditions for Pareto efficiency and proper ideal point in set-valued nonsmooth vector optimization using contingent cone
%K Star-shaped set
%K Bouligand tangent cone
%K generalized cone convex maps
%K optimality conditions
%R
%X In this paper, we first present a new important property for Bouligand tangent cone (contingent cone) of a star-shaped set. We then establish optimality conditions for Pareto minima and proper ideal efficiencies in nonsmooth vector optimization problems by means of Bouligand tangent cone of image set, where the objective is generalized cone convex set-valued map, in general real normed spaces.
%U http://bims.iranjournals.ir/article_648_0752152377cd9d137832342eff76106d.pdf