含约束集值优化问题Henig有效解集的连通性

Connectedness of Henig Efficient Solution Set for Set-valued Optimization Problems with Constraints

摘要: 在局部凸空间中给出了含约束的集值向量优化问题Henig有效解的连通性定理.该定理是在可行域为弧连通紧的,目标函数为C-弧连通的集值映射的条件下得到的.

Abstract: In this paper,we present the theorem of the connectedness of Henig efficient solution set for set-valued optimization problems with constraints in the local convex spaces.The theorem is proved under the condition that the domain is an arcwise connected and compact subset,and the objective function is a cone-arcwise connected set-valued mapping.