TOPOLOGICALLY FINITE INTERSECTION PROPERTY AND MINIMAX THEOREMS

Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (4): 325-333.

TOPOLOGICALLY FINITE INTERSECTION PROPERTY AND MINIMAX THEOREMS

张石生¹, 张宪²

1. Department of Mathematics, Sichuan University, Chengdu, 610064, P. R. China;
2. Department of Mathenmatics, Anhui Normal University, Wuhu, Anhui 241000, P. R. China

收稿日期:1994-07-11 出版日期:1995-04-18 发布日期:1995-04-18
基金资助:
Project supported by the National Natural Science Foundation of China

TOPOLOGICALLY FINITE INTERSECTION PROPERTY AND MINIMAX THEOREMS

Zhang Shi-sheng¹, Zhang Xian²

1. Department of Mathematics, Sichuan University, Chengdu, 610064, P. R. China;
2. Department of Mathenmatics, Anhui Normal University, Wuhu, Anhui 241000, P. R. China

Received:1994-07-11 Online:1995-04-18 Published:1995-04-18
Supported by:
Project supported by the National Natural Science Foundation of China

摘要/Abstract

摘要： A more general lopologically finite intersection property is obtained. As anapplication,we utilize this result to obtain some more general minimax theorems. Theresults presented in this paper unify and extend the main results of [5, 6, 9].

关键词: finite intersection property, minimax theorem, connected set

Abstract: A more general lopologically finite intersection property is obtained. As anapplication,we utilize this result to obtain some more general minimax theorems. Theresults presented in this paper unify and extend the main results of [5, 6, 9].

Key words: finite intersection property, minimax theorem, connected set

张石生;张宪. TOPOLOGICALLY FINITE INTERSECTION PROPERTY AND MINIMAX THEOREMS[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(4): 325-333.

Zhang Shi-sheng;Zhang Xian. TOPOLOGICALLY FINITE INTERSECTION PROPERTY AND MINIMAX THEOREMS[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(4): 325-333.

[1]	陈波李孝伟刘高联. Minimax principle on energy dissipation of incompressible shear flow[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(7): 805-814.
[2]	郑喜印;温忠粦. MINIMAX THEOREM AND SADDLE POINT THEOREM WITHOUT LINEAR STRUCTURE[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(4): 375-380.
[3]	张石生;张宪. A GENERAL TOPOLOGICAL VERSION OF MINIMAX THEOREM[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(7): 623-633.
[4]	马如云. SOME MULTIPLICITY RESULTS FOR AN ELASTIC BEAM EQUATION AT RESONANCE[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(2): 193-200.

TOPOLOGICALLY FINITE INTERSECTION PROPERTY AND MINIMAX THEOREMS

TOPOLOGICALLY FINITE INTERSECTION PROPERTY AND MINIMAX THEOREMS

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