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New generalisations of an H-KKM type theorem and their applications

Published online by Cambridge University Press:  17 April 2009

Xie Ping Ding
Xie Ping Ding
Affiliation:
Department of Mathematics Sichuan Normal, University Chengdu, Sichuan 610066, Peoples Republic of China
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In this note, we establish some new generalisations of an H-KKM type theorem which unify and generalise the corresponding results of Horvath, Bardaro-Ceppitelli, Tarafdar, Shioji, Park and others. As applications of our H-KKM type principle, we obtain some new generalisations of the Ky Fan type geometric properties of. H-spaces, minimax inequalities and coincidence theorems in Horvath's abstract setting.

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Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 48 , Issue 3 , December 1993 , pp. 451 - 464
Copyright
Copyright © Australian Mathematical Society 1993

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