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On Ky Fan's minimax principle

Part of: Nonlinear operators and their properties

Published online by Cambridge University Press:  09 April 2009

E. Tarafdar  and
H. B. Thompson
E. Tarafdar
Affiliation:
Department of Mathematics, University of Queensland, St. Lucia. Queensland 4067, Australia.
H. B. Thompson
Affiliation:
Department of Mathematics, University of Queensland, St. Lucia. Queensland 4067, Australia.
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Abstract

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A generalized version of the Knaster-Kuratowski-Mazurkiewicz theorem is obtained and used to generalize Ky Fan's minimax principle. This result is applied to a variational inequality.

MSC classification

Secondary: 47H05: Monotone operators and generalizations 47H10: Fixed-point theorems

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 26 , Issue 2 , September 1978 , pp. 220 - 226
Copyright
Copyright © Australian Mathematical Society 1978

References

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