Weak Efficient Solutions of Generalized Convex Set-Valued Vector Optimization Problems
Zhou Zhi-ang · Journal of Southwest China Normal University · 2005
In this paper, firstly the concept of generalized convex set-valued map is defined in ordered linear topological spaces. Then relative interior is introduced and an alternative theorem of generalized convex set-valued maps is established by using the separation theorem. And finally, the optimality conditions are obtained for set-valued vector optimization problems in a sense of weak efficient solutions by applying the theorem.