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＜電子ブック＞
Fixed Point Theory for Lipschitzian-type Mappings with Applications / by Ravi P. Agarwal, Donal O'Regan, D. R. Sahu
(Topological Fixed Point Theory and Its Applications ; 6)

版	1st ed. 2009.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2009
本文言語	英語
大きさ	X, 368 p : online resource
著者標目	*Agarwal, Ravi P author O'Regan, Donal author Sahu, D. R author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Functional analysis LCSH:Topology FREE:Analysis FREE:Functional Analysis FREE:Topology
一般注記	Fundamentals -- Convexity, Smoothness, and Duality Mappings -- Geometric Coefficients of Banach Spaces -- Existence Theorems in Metric Spaces -- Existence Theorems in Banach Spaces -- Approximation of Fixed Points -- Strong Convergence Theorems -- Applications of Fixed Point Theorems In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics. It has become one of the most essential tools in nonlinear functional analysis. This self-contained book provides the first systematic presentation of Lipschitzian-type mappings in metric and Banach spaces. The first chapter covers some basic properties of metric and Banach spaces. Geometric considerations of underlying spaces play a prominent role in developing and understanding the theory. The next two chapters provide background in terms of convexity, smoothness and geometric coefficients of Banach spaces including duality mappings and metric projection mappings. This is followed by results on existence of fixed points, approximation of fixed points by iterative methods and strong convergence theorems. The final chapter explores several applicable problems arising in related fields. This book can be used as a textbook and as a reference for graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations by iteration theory, convexity and related geometric topics, and best approximation theory HTTP:URL=https://doi.org/10.1007/978-0-387-75818-3

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