J4 ›› 2010, Vol. 45 ›› Issue (2): 61-65.
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范丽亚 李爱芹
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基金资助:
国家自然科学基金资助项目(10871226)；山东省自然科学基金资助项目(ZR2009AL006)
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摘要：
引入带有集值映射的向量拟均衡问题的f-有效解的概念,并在Hausdorff拓扑向量空间中利用标量化的方法研究了向量拟均衡问题解集的连通性。
关键词: 向量拟均衡问题; 解集的连通性; 不动点定理; 凸集分离定理
Abstract:
The concept of f-efficient solution is introduced for a vector quasi-equilibrium problem with set-valued mappings. The conectedness of solution set for the vector quasi-equilibrium problem is studied by means of a scalarized methhod in the setting of Hausdorff topological vector spaces.
Key words: vector quasi-equilibrium problem; connectedness of solution set; fixed-point theorem; separation theorem of convex set
范丽亚 李爱芹. 向量拟均衡问题解集的连通性[J]. J4, 2010, 45(2): 61-65.
FAN Li-Ya, LI Ai-Qin. The connectedness of solution set for vector quasi-equilibrium problems[J]. J4, 2010, 45(2): 61-65.
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