KKM Theory and Applications in Nonlinear Analysis

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CRC Press, Feb 9, 1999 - Mathematics - 648 pages
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This reference provides a lucid introduction to the principles and applications of Knaster-Kuratowski-Mazurkiewicz (KKM) theory and explores related topics in nonlinear set-valued analysis.
  

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Contents

Introduction
1
Mappings
22
The KKM Theory and Related Topics
37
Topological Intersection and Minimax Inequality Theory
199
Abstract Economic Models and Generalized Games
229
Variational Inequalities Part I
325
Variational Inequalities Part II
381
Spaces
430
Applications to MultiObjective Optimization
463
Applications to Game Theory
519
Applications to Mathematical Economics
545
References
575
Index
613
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About the author (1999)

George Xian-Zhi Yuan is Australian Research Council Research Fellow in the Department of Mathematics, University of Queensland, Brisbane, Australia. Additionally, he is Professor of Mathematics at Guizhou University of Technology, Guiyang, and Sichuan University, Chengdu, China.

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