On existence and essential stability of solutions of symmetric variational relation problems

被引：10

作者：

Yang, Zhe ^{[1
,2
]}

机构：

[1] Shanghai Univ Finance & Econ, Sch Econ, Shanghai 200433, Peoples R China

[2] Minist Educ, Key Lab Math Econ SUFE, Shanghai 200433, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

symmetric variational relation problems; existence; essential stability; THEOREM; SET;

D O I：

10.1186/1029-242X-2014-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce symmetric variational relation problems and establish the existence theorem of solutions of symmetric variational relation problems. As the special cases, symmetric (vector) quasi-equilibrium problems and symmetric variational inclusion problems are obtained. Further, we study the notion of essential stability of equilibria of symmetric variational relation problems. We prove that most of symmetric variational relation problems (in the sense of Baire category) are essential and, for any symmetric variational relation problem, there exists at least one essential component of its solution set.

引用

页数：13

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