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

S.P. Singh, B. Watson, P. Srivastava (Autoren)

Buch | Softcover

222 Seiten

2010 | Softcover reprint of the original 1st ed. 1997
Springer (Verlag)
978-90-481-4918-6 (ISBN)

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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.

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.

Erscheint lt. Verlag	8.12.2010
Reihe/Serie	Mathematics and Its Applications ; 424
Zusatzinfo	1 Illustrations, black and white; X, 222 p. 1 illus.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	90-481-4918-5 / 9048149185
ISBN-13	978-90-481-4918-6 / 9789048149186
Zustand	Neuware