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Matching theorems, fixed point theorems and minimax inequalities without convexity

Part of: Nonlinear operators and their properties Maps and general types of spaces defined by maps Connections with other structures, applications

Published online by Cambridge University Press:  09 April 2009

Xie-Ping Ding  and
Kok-Keong Tan
Xie-Ping Ding
Affiliation:
Department of MathematicsSichuan Normal UniversityChengdu, Sichuan People's Republic of China
Kok-Keong Tan
Affiliation:
Department of Mathematics, Statistics and Computing ScienceDalhousie UniversityHalifax, Nova ScotiaCanada, B3H 3J5
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Abstract

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Matching theorems, fixed point theorems and minimax inequalities are obtained in H-spaces which generalize the corresponding results of Bae-Kim-Tan, Browder, Fan, Horvath, Kim, Ko-Tan, Shih-Tan, Takahashi, Tan and Tarafdar to non-compact and/or non-convex settings.

Keywords

matching theoremfixed point theoremminimax inequalityH-spacecontractibleH-convexweakly H-convexcompactly open (closed)H-compactH-KKMtopological vector spaceconvex hulllower semi-continuous.

MSC classification

Secondary: 47H10: Fixed-point theorems 54H25: Fixed-point and coincidence theorems 54C60: Set-valued maps

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 49 , Issue 1 , August 1990 , pp. 111 - 128
Copyright
Copyright © Australian Mathematical Society 1990

References

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