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一类对称向量拟均衡问题解集的稳定性

The Stability of a Set of Solutions for Symmetric Vector Quasi-equilibrium Problems
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摘要 研究一类对称向量拟均衡问题解集的稳定性。证明在约束映射满足一定连续性,以及目标映射是自然拟凸的demi-continuous映射条件下,由对称向量拟均衡问题的构成的空间M中,此类中大多数对称向量拟均衡问题的解集具有通有稳定性。 In this paper, we studied the stability of a set of solutions for one kind of symmetric vector quasi-equilibrium problems. In the space M, when the constraints mappings satisfy some continuity conditions, and the objective mappings are natural quasi-convex and demi-continuous, we proved that most of the this kind of symmetric vector quasi-equilibrium problems have stable solutions set.
作者 袁淑敏
机构地区 南昌大学数学系
出处 《南昌大学学报（工科版）》 CAS 2009年第1期18-21,共4页 Journal of Nanchang University(Engineering & Technology)
基金 国家自然科学基金资助项目(10561007) 江西省自然科学基金资助项目(01110067)
关键词 对称向量拟均衡问题 解集的稳定性 自然拟凸 demi-continuous symmetric vector quasi-equilibrium problems stability of the set of solutions natural quasi-convex demi-continuous
分类号 O137 [理学—基础数学]
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参考文献15

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二级参考文献14

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共引文献66

南昌大学学报（工科版）
2009年 第1期

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