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KKM Theory and Applications in Nonlinear Analysis



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ISBN 9780824700317
Published February 9, 1999 by CRC Press
648 Pages

 
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Book Description

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.

Table of Contents

Part 1 Introduction: the KKM theory and related topics; topological intersection and minimax theorems; abstract economics; variational inequalities. Part 1: variational inequalites. Part 2: applications to multi-objective optimization; applications to game theory; applications to mathematical economics.

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Reviews

"...recommended as a good introduction into the sphere of contemporary topological methods of nonlinear analysis and their applications."
---Zentralbatt fur Mathematik, 2000