General KKM Theorem with Applications to Minimax and Variational Inequalities

被引：25
作者：
Q. H. Ansari
Y. C. Lin
J. C. Yao
机构：
[1] Aligarh Muslim University,Department of Mathematics
[2] National Sun Yat-Sen University,Department of Applied Mathematics
[3] China Medical College,Center of General Education
[4] National Sun Yat-Sen University,Department of Applied Mathematics
[5] National Sun Yat-Sen University,Department of Applied Mathematics
来源：
Journal of Optimization Theory and Applications | 2000年 / 104卷 / 1期
关键词：
generalized KKM mappings; transfer closed-valued mappings; γ-transfer lower semi-continuous functions; minimax inequalities; generalized variational inequalities; generalized quasi-variational inequalities;
D O I：
10.1023/A:1004620620928
中图分类号：
学科分类号：
摘要：
In this paper, a general version of the KKM theorem is derived by using the concept of generalized KKM mappings introduced by Chang and Zhang. By employing our general KKM theorem, we obtain a general minimax inequality which contains several existing ones as special cases. As applications of our general minimax inequality, we derive an existence result for saddle-point problems under general setting. We also establish several existence results for generalized variation inequalities and generalized quasi-variational inequalities.
引用
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页码：17 / 57
页数：40
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