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广义向量拟平衡问题解集映射的稳定性
The Stability of Solution Set Maps to Generalized Vector Quasi-equilibrium Problems
【摘要】 我们在局部凸Hausdorff拓扑向量空间中,讨论了广义向量拟平衡问题解集映射的上半连续性以及闭性,并利用扰动间隙函数证明解集的Hausdorff下半连续性.
【Abstract】 This paper deals with the semicontinuities and closedness of the solution set maps to generalized vector quasi-equilibrium problem in locally convex Hausdorff topological vector spaces.By using a perturbed gap function,the Hausdorff lower semicontinuity of the solution set maps are established.
【关键词】 广义向量拟平衡问题;
上半连续;
Hausdorff下半连续性;
扰动间隙函数;
非线性标量函数;
【Key words】 generalized vector quasi-equilibrium problems; upper semicontinuity; Hausdorff lower semicontinuity; perturbed gap function; nonlinear scalarization function;
【Key words】 generalized vector quasi-equilibrium problems; upper semicontinuity; Hausdorff lower semicontinuity; perturbed gap function; nonlinear scalarization function;
【基金】 国家自然科学基金资助项目(60574073);重庆市科委自然科学基金资助项目(CSTC,2007BB6117)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2009年03期
- 【分类号】O177
- 【下载频次】67