New saddle point theorem beyond topological vector spaces

被引：8

作者：

Yu, J ^{[1
]}

Yuan, XZ ^{[1
]}

机构：

[1] Guizhou Univ Technol, Inst Appl Math, Guiyang, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1998年 / 96卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

two-person zero-sum games; saddle points; minimax theorems; connectedness;

D O I：

10.1023/A:1022679504350

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The purpose of this note is to prove a new topological saddlepoint theorem, which in turn includes classical saddle-point theorems such as the Sion minimax theorem and others in topological vector spaces as special cases.

引用

页码：211 / 219

页数：9

共 50 条

[31] Generalized normability theorem for L-topological vector spaces
Zhang, Hua-Peng
Fang, Jin-Xuan
FUZZY SETS AND SYSTEMS, 2012, 204 : 86 - 92
[32] Generalizations of a theorem of Arrow, Barankin, and Blackwell in topological vector spaces
Mathematical Institute, Department of Mathematics, Yunnan University, Kunming, PRC, China
J. Optim. Theory Appl., 1 (221-233):
[33] Loose saddle points of set-valued maps in topological vector spaces
Kim, IS
Kim, YT
APPLIED MATHEMATICS LETTERS, 1999, 12 (08) : 21 - 26
[34] On a coupled fixed point problem in topological vector spaces
Mitrovic, Zoran D.
MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (9-10) : 2388 - 2392
[35] Vector ultrametric spaces and a fixed point theorem for correspondences
Nourouzi, Kourosh
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2015, 7 (01): : 147 - 153
[36] EDELSTEINS FIXED-POINT THEOREM IN TOPOLOGICAL-SPACES
LIEPINS, A
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1980, 2 (05) : 387 - 396
[37] COINCIDENCE THEOREM AND SADDLE-POINT THEOREM
KOMIYA, H
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 96 (04) : 599 - 602
[38] A new Abb theorem in normed vector spaces
Göpfert, A
Tammer, C
Zalinescu, C
OPTIMIZATION, 2004, 53 (04) : 369 - 376
[39] Generalization of Kolmogoroff's theorem to L-topological vector spaces
Yan, CH
Fang, JX
FUZZY SETS AND SYSTEMS, 2002, 125 (02) : 177 - 183
[40] A Generalization of the Gleason-Kahane-Zelazko Theorem to Topological Vector Spaces
Golbaharan, A.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (02)

← 1 2 3 4 5 →