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一类广义向量拟均衡问题
ONE TYPE OF GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEM
【摘要】 提出一类新型的广义向量拟均衡问题。利用连续单位分解定理和数值化方法,在连续性条件较弱、定义域无界等情况下,得到解的存在性定理。
【Abstract】 This article introduces a new type of generalized vector quasi-equilibrium problem.By using the teorem of the continuous partition of unity and the scalarization method,we derive some existence theorems for generalized vector quasi-equilibrium probloms in the cases:the continuity is somewhat weak or the domain is unbounded.
【关键词】 广义向量拟均衡问题;
凸性;
单位分解;
数值化;
拓扑向量空间;
【Key words】 generalized vector quasi-equilibrium problem; convexity; partition of unity; scalarization;
【Key words】 generalized vector quasi-equilibrium problem; convexity; partition of unity; scalarization;
【基金】 江西省自然科学基金资助项目(0211035)
- 【文献出处】 南昌大学学报(理科版) ,Journal of Nanchang University(Natural Science) , 编辑部邮箱 ,2005年02期
- 【分类号】O177.31
- 【被引频次】11
- 【下载频次】65