Generalized Saddle Point Characterization of Strictly Efficient Solutions in Nearly Cone-subconvexlike Set-valued Optimization Problems
LI Yong-xin · Gongcheng shuxue xuebao · 2007
This paper studies the characterization of strict efficient solutions in set-valued optimization by generalized saddle. By using the properties of generalized saddle points and a separation theorem,a property of generalized saddle points is proved with set separation. Moreover,under the assumption of nearly cone-subconvexlikeness,the necessary and su?cient conditions for a strictly efficient solution being a generalized saddle point in set-valued optimization problems with maps are obtained.