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Fixed Point Theory and Best Approximation : The KKM-map Principle - S. P. Singh

Fixed Point Theory and Best Approximation

The KKM-map Principle

By: S. P. Singh (Editor)

Hardcover Published: 30th September 1997
ISBN: 9780792347583
Number Of Pages: 222

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The aim of this volume is to make available to a large audience recent material in nonlinear functional analysis that has not been covered in book format before. Here, several topics of current and growing interest are systematically presented, such as fixed point theory, best approximation, the KKM-map principle, and results related to optimization theory, variational inequalities and complementarity problems. Illustrations of suitable applications are given, the links between results in various fields of research are highlighted, and an up-to-date bibliography is included to assist readers in further studies.
Audience: This book will be of interest to graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations and expansions, convex sets and related geometric topics and game theory.

Preface
Introductory Concepts and Fixed Point Theoremsp. 1
Ky Fan's Best Approximation Theoremp. 73
Principle and Applications of KKM-mapsp. 121
Partitions of Unity and Applicationsp. 159
Application of Fixed Points to Approximation Theoryp. 191
Bibliographyp. 205
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792347583
ISBN-10: 0792347587
Series: Synthese Library (Hardcover)
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 222
Published: 30th September 1997
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 1.42
Weight (kg): 0.51