Topologically Finite Intersection Property and Minimax Theorems

Zhang Shi-sheng; Zhang Xian

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(4): 307-314

Zhang Shi-sheng, Zhang Xian. Topologically Finite Intersection Property and Minimax Theorems[J]. Applied Mathematics and Mechanics, 1995, 16(4): 307-314.

Citation:

Zhang Shi-sheng, Zhang Xian. Topologically Finite Intersection Property and Minimax Theorems[J]. Applied Mathematics and Mechanics, 1995, 16(4): 307-314.

Citation:

Zhang Shi-sheng, Zhang Xian. Topologically Finite Intersection Property and Minimax Theorems[J]. Applied Mathematics and Mechanics, 1995, 16(4): 307-314.

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Topologically Finite Intersection Property and Minimax Theorems

Zhang Shi-sheng¹,
Zhang Xian²

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

Received Date: 1994-07-11
Publish Date: 1995-04-15

Abstract

Abstract

A more general lopologically finite intersection property is obtained. As an application,we utilize this result to obtain some more general minimax theorems. The results presented in this paper unify and extend the main results of [5, 6, 9].
- finite intersection property,
- minimax theorem,
- connected set

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References(12)

References

[1]	Bardaro, C, and R.Ceppitelli, Some further generalizations of Knaster-Kura-towski-Mazurkiewicz theorem and minimaz inequalities, J.Math.Anal,Appl,132(1988), 484-490.
[2]	Bardaro, C.and R.Ceppitelli, Applications of generalized Kiiaster-Kuratow-ski-Mazurkicwicz theorem to variational inequalities, J.Mad h.Anal.Appl.,137(1989), 46-58.
[3]	Chang Shih-son and Zhang Ying, Generalized ILKM theoram and variational inequalities, J.Math.Anal.Appi.,158(1991), 10-25.
[4]	Chang Shih-son and Ma Yi-hai, Generalized KKM theorem on H-space with applications, J.Math.Anal.Appl, 163(1992),406-421.
[5]	Chang Shih-son,Y.J.Cho, X.Wu and Y, Zhang, The topological vorsions of KKM theorem and Fan’s matching theorem with applications, Topological Methods in Nonlinear Anal.,1(1993), 231-245.
[6]	Chang Shih-son and X, Wu, Topological KKM theorem and minimaa theorems,J.Math, Anal.Appl.,182(1994),1-12,
[7]	Fan,Ky, A generalization of Tychonoff's fixed point theoram,Math.Anal,142(1961), 303-310,
[8]	Horvath, C,Some results on multivalued mappings and inequsiitics without convexity in "Nonlinear and Convez Analysis", Lecture Notes in Pure and Appl.Math.Series, Springer-Verlag, 107(1987).
[9]	Kindler, J.Topological intersection theorems, Proc,Amer, Mafh.Soc,117(1993),1003-1011.
[10]	Knaster, B.,C.Kuratowski and S.Mazurkiewicz, Ein Beweis des Fixpunk-satzes n-dimensionale Simplexe, Fund. Math,14(1929), 132-137,
[11]	Park, S.,Generalizations of Ky Fan's matching theorems and their applications, J.Math.final.Appl.,141(1989), 164-176.
[12]	Shih, M. H.and K.K.Tan, A geometric property of convex sets with applications to minimax type inequalities and fixed point theorems, J.Austral Math.soc.A.,45(1988), 169-183.