在实Hausdorff拓扑向量空间中,引进含参集值向量均衡问题,给出各种有效解的概念.在锥-次类凸的条件下,得到各种有效解的标量化结果.结合集值映射的弱f-性,在适当假设条件下,得到含参集值向量均衡问题各种有效解映射的下半连续性.
In this paper,the concepts of various efficient solutions to a class of parametric set-vector equilibrium problems in real Hausdorff topological vector space are introduced.Under the condition of cone-subconvexlike,scalar characterizations of various efficient solutions axe given.Combining with weak/-property for a set-valued mapping,and then under some suitable assumptions,the lower semicontionuity of various efficient solution mappings to the parametric set-vector equilibrium problems are gained.