STRONG EFFICIENT SOLUTIONS OF NEARLY CONE-SUBCONVEXLIKE SET-VALUED VECTOR OPTIMIZATION PROBLEMS CHARACTERIZED BY GENERALIZED SADDLE POINT
Sanyang Liu · Journal of Mathematics · 2008
The purpose of this paper is to investigate the representation problems of strong efficient solutions by generalized saddle point in nearly cone-subconvexlike set-valued vector optimization problems.By using the theorem of alternative,we obtain the necessary and sufficient conditions for strong efficient solutions to be the generalized saddle point in vector optimization problems with set-valued maps under the assumption of nearly cone-subconvexlikeness.The results enrich the theory of set-valued optimization,and enlarge the application of the generalized saddle point.