Fixed Point Theory and Best Approximation : The K. K. M.-map Principle (Mathematics and Its Applications)

Singh, S. P./ Watson, B./ Srivastava, P.

Springer（2010/12発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 232 p.
• 言語 ENG
• 商品コード 9789048149186
• DDC分類 515

Full Description

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.

Contents

1 Introductory Concepts and Fixed Point Theorems.- 2 Ky Fan's Best Approximation Theorem.- 3 Principle and Applications of KKM-maps.- 4 Partitions of Unity and Applications.- 5 Application of Fixed Points to Approximation Theory.