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A new minimax inequality on H-spaces with applications

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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A new minimax inequality on H-spaces is obtained together with six equivalent formulations. As applications, some results on fixed point theorems and system of inequalities are proved. Our results generalise the corresponding results on (1) minimax inequalities due to Fan, Yen, Tan, Shih-Tan and Ding-Tan, (2) fixed point theorems due to Browder, Tarafdar, Shih-Tan and Ding-Tan, (3) convex inequalities due to Fan, (4) systems of inequalities due to Granas-Liu and (5) a minimax theorem due to Kneser.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 41 , Issue 3 , June 1990 , pp. 457 - 473
Copyright
Copyright © Australian Mathematical Society 1990

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