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Applications of a minimax inequality on H-spaces

Published online by Cambridge University Press:  17 April 2009

Xie Ping Ding ,
Won Kyu Kim  and
Kok-Keong Tan
Xie Ping Ding
Affiliation:
Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan, China
Won Kyu Kim
Affiliation:
Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5
Kok-Keong Tan
Affiliation:
Department of Mathematics Education, Chungbuk National University, Cheongju, Korea
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By applying a minimax inequality on H-spaces from our earlier work, new generalisations of well-known intersection theorems concerning sets with convex sections and minimax inequalities of von Neumann type are obtained. Our results generalise the corresponding results of Ben-El-Mechaiekh, Deguire and Granas, Fan, Liu, Shih-Tan, Sion and Tarafdar.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 41 , Issue 3 , June 1990 , pp. 475 - 485
Copyright
Copyright © Australian Mathematical Society 1990

References

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