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中文摘要：
在拓扑线性空间中研究由关于第一个变量是弧类凹、关于第二个变量是类凸的映射所决定的向量均衡问题。在一定的紧性、凸性、与半连续性的条件下，给出了这类向量均衡问题弱有效解的存在性定理。利用向量均衡问题弱有效解的标量化的结果，得到了这类向量均衡问题弱有效解集的连通性结果。
英文摘要：
It studied the vector equilibrium problems determined by a mapping with an arc - concave - like first var- iable, and a convex - like second variable. Under the suitable hypotheses of compactness, convexity, and semicontinuity, an existence theorem of the weak efficient solution for the convex - like vector equilibrium problems is estab- lished. By using the result of the scalarization of the weak efficient solutions set, a result of the connectedness of the weak efficient solution sets is obtained in topological vector space.
同期刊论文项目
同项目期刊论文
Stampacchia Vector Equilibrium Problems and Vector Complementarity Problems, Advances in Mathematics
Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium Problems
Note on Convergence Theorem of Iterative Sequences for Asymptotically Non-Expansive Mapping in a Uni
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