含参集值向量均衡问题有效解映射的下半连续性

摘要

在实 Hausdorff拓扑向量空间中，引进含参集值向量均衡问题的全局有效解与 Henig有效解及超有效解的概念。在锥－次类凸的条件下，得到含参集值向量均衡问题的全局有效解与 H enig有效解及超有效解的标量化结果。在标量化结果的基础上，并结合比锥－严格单调更弱的新假设条件，研究含参集值向量均衡问题的全局有效解映射与 H enig有效解映射及超有效解映射的下半连续性。%In this paper,the concepts of global efficient solution,Henig efficient solution and super efficient solution to parametric set-vector equilibrium problems in real Hausdorff topological vector space are intro-duced.Under the condition of cone-subconvexlike,scalar characterizations of global efficient solution, Henig efficient solution and super efficient solution are given.On the basis of the results,combining with the new assumptions which are weaker the assumption of strict c-mappings,the lower semicontionuity of global efficient solution,Henig efficient solution and super efficient solution mappings to parametric set-vector equilibrium problems are gained.