Minimax inequalities for set-valued mappings

被引:0
|
作者
Y. Zhang
S. J. Li
M. H. Li
机构
[1] Chongqing University,College of Mathematics and Statistics
来源
Positivity | 2012年 / 16卷
关键词
Minimax inequality; Set-valued mapping; Minimal point; Maximal point; 49J35; 49K35; 90C47;
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中图分类号
学科分类号
摘要
In this paper, by using the finite intersection property, we first obtain two types of minimax inequalities for set-valued mappings, which improve and generalize the corresponding results in Ferro (J Optim Theory Appl 60:19–31, 1989) and Li et al. (J Math Anal Appl 281:707–723, 2003). Then, by using the Ky Fan lemma and the Kakutani–Fan–Glicksberg fixed point theorem, we also investigate some Ky Fan minimx inequalities for set-valued mappings.
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页码:751 / 770
页数:19
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