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Fixed Point Theory and Best Approximation: The KKM-map Principle

  • Book
  • © 1997

Overview

Authors:
  1. Sankatha Singh

    1. Department of Mathematics and Statistics, Memorial University of Newfoundland, St John’s, Newfoundland, Canada

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  2. Bruce Watson

    1. Department of Mathematics and Statistics, Memorial University of Newfoundland, St John’s, Newfoundland, Canada

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  3. Pramila Srivastava

    1. Allahabad Mathematical Society, Allahabad, India

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Part of the book series: Mathematics and Its Applications (MAIA, volume 424)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-x
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  2. Introductory Concepts and Fixed Point Theorems

    • Sankatha Singh, Bruce Watson, Pramila Srivastava
    Pages 1-71

  3. Ky Fan’s Best Approximation Theorem

    • Sankatha Singh, Bruce Watson, Pramila Srivastava
    Pages 73-120

  4. Principle and Applications of KKM—maps

    • Sankatha Singh, Bruce Watson, Pramila Srivastava
    Pages 121-158

  5. Partitions of Unity and Applications

    • Sankatha Singh, Bruce Watson, Pramila Srivastava
    Pages 159-190

  6. Application of Fixed Points to Approximation Theory

    • Sankatha Singh, Bruce Watson, Pramila Srivastava
    Pages 191-204

  7. Back Matter

    Pages 205-222
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics and Statistics, Memorial University of Newfoundland, St John’s, Newfoundland, Canada

    Sankatha Singh, Bruce Watson

  • Allahabad Mathematical Society, Allahabad, India

    Pramila Srivastava

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