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

1. Auflage. Softcover version of original hardcover Auflage 1997
ISBN: 978-90-481-4918-6
Verlag: Springer

Buch, Englisch, 222 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 365 g

Reihe: Mathematics and Its Applications

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.
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.

Zielgruppe

Research

Autoren/Hrsg.

Singh, S. P.

Watson, B.

Srivastava, P.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik

Inhaltsverzeichnis

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.