广义凸空间内的非紧无限最优化和约束对策的平衡

丁协平

广义凸空间内的非紧无限最优化和约束对策的平衡

丁协平

四川师范大学数学系, 成都610066

基金项目: 国家自然科学基金资助(19871059)

详细信息

作者简介:
丁协平(1938- ),四川自贡人,教授,已发表200余篇论文,获省部级奖6项.

中图分类号: O224;O225
计量
- 文章访问数: 2325
- HTML全文浏览量: 81
- PDF下载量: 576
- 被引次数: 0
出版历程
- 收稿日期: 1999-04-30
- 刊出日期: 2000-09-15

Noncompact Infinite of Optimization and Equilibria of Constrained Games in Generalized Convex Spaces

DING Xie-ping

Department of Mathematics, Sichuan Normal University, Chengdu 610066, P R China

摘要

摘要: 由应用作者得到的拟平衡问题的一个新的存在性定理,在没有线性结构的广义凸空间内对非紧无限最优化问题和非紧约束对策问题证明了解的存在性定理。这些定理改进和推广了最近文献中许多重要结果。
- 非紧无限最优化 /
- 非紧约束对策 /
- 拟平衡 /
- 广义凸空间
Abstract: By applying a new existence theorem of quasi-equilibrium problems due to the author, some existence theorems of solutions for noncompact infinite optimization problems and noncompact constrained game problems are proved in generalized convex spaces without linear structure.These theorems improve and generalize a number of important results in recent literature.
- noncompace infinite optimization /
- noncompact constrained game /
- quasi-equilibrium /
- generalized convex space

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参考文献(12)

[1]	Karczynski T, Zeidan V. An application of Ky-Fan fixed point theorem to an optimization problem[J]. Nonlinear Anal TMA,1989,13(3):259-261.
[2]	Park S, Park J A. The Idzik type quasivariational inequalities and noncompact optimization problem[J]. Colloqium Math,1996,71(2):287-295.
[3]	丁协平. 拟变分不等式和社会平衡[J]. 应用数学和力学,1991,12(7):599-604.
[4]	Ding Xieping. Generalized quasivariational inequality, optimization and equilibrium existence problems[J]. J Sichuan Normal Univ,1998,21(1):1-5.
[5]	Aubin J P, Ekeland I. Applied Nonlinear Analysis[M]. New York: John Wiley & Sons,1984.
[6]	Yuan X Z, Isac G, Tan K K, Yu J. The study of minimax inequalities, abstract economics and applications to variational inequalities and Nash equilibria[J]. Acta Applic Math,1998,54(1):135-166.
[7]	Park S, Kim H. Coincidence theorems for addmissible multifunctions on generalized convex spaces[J]. J Math Anal Appl,1996,197(1):173-187.
[8]	Park S, Kim H. Foundations of the KKM theory on generalized convex spaces[J]. J Math Anal Appl,1997,209(3):551-571.
[9]	Tan K K. G-KKM theorem, minima inequalities and saddle pints[J]. Nonlinear Anal TMA,1997,30(7):4151-4160.
[10]	丁协平. 非紧广义凸空间内的拟平衡问题[J]. 应用数学和力学,2000,21(6):578-584.
[11]	Ding Xieping. Existence of solutions for quasi-equilibrium problems[J]. J Sichuan Normal Univ,1998,21(6):603-608.
[12]	Cubiotti P. Existence of solutions for lower semicontinuous quasi-equilibrium problems[J]. Computers Math Applic,1995,30(12):11-22.