不具单调性的均衡系统问题的解的存在性

数学物理学报 ›› 2005, Vol. 25 ›› Issue (6): 763-769.

不具单调性的均衡系统问题的解的存在性

方亚平, 黄南京

四川大学数学学院成都 610064

出版日期:2005-12-24 发布日期:2005-12-24
基金资助:
四川省学术带头人培养基金资助

Existence of Solutions to Systems of Equilibrium Problems Without Monotonicity

FANG E-Beng, HUANG Na-Jing

Online:2005-12-24 Published:2005-12-24
Supported by:
四川省学术带头人培养基金资助

摘要/Abstract

摘要：

该文引入并研究了一类不具单调性的均衡系统问题。利用Brouwer不定点定理，在有限维空间下得到了均衡系统问题的解的存在性。在无限维情形，通过引入函数族的(S)_{+-}条件，证明了基于(S)_{+-}条件下的均衡系统问题的解的存在性。

关键词: 均衡系统；变分不等式系统；(S)_{+-}条件；存在性

Abstract:

In this paper, the authors introduce and study systems of equilibrium problems without monotonicity. By using Brouwer fixed point theorem, the authors obtain an existence theorem in the setting of finite dimensional spaces. In the case of infinite dimensional spaces, the authors introduce the definition of (S)_{+-} condition for a family of functions and prove the existence of solutions to systems of equilibrium problems based on (S)_{+-} conditions.

Key words: System of equilibrium problems, System of variational inequalities, (S)_{+-} , condition; , Existence

中图分类号:

49J40

方亚平, 黄南京. 不具单调性的均衡系统问题的解的存在性[J]. 数学物理学报, 2005, 25(6): 763-769.

FANG E-Beng, HUANG Na-Jing. Existence of Solutions to Systems of Equilibrium Problems Without Monotonicity[J]. Acta mathematica scientia,Series A, 2005, 25(6): 763-769.

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