弱锥2有效集连通性的一个等价定理(英文)

An Equivalent Theorem on Connectedness of the Weakly Cone-Efficient Sets

英文关键词:vector optimization  point to set map  connectedness.

中文摘要:

      利用连通集上有关上半连续点集映射的连通性质，本文证明了拓扑向量空间中向量最优化问题的弱锥－有效解集与相应目标空间中的弱锥－有效点集连通性之间的一个等价定理．

英文摘要:

      By using the connectedness of the upper semicontinuous point set map defined on a connect set, this paper prove a equivalent theorem between connectedness of the weakly cone efficient solution set and that of the corresponding weakly cone efficient point set for vector optimization problem in the topological vector space.