Fixed point theory for Lipschitzian-type mappings with applications / by Ravi P. Agarwal, Donal O'Regan and D.R. Sahu.
"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 p...
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| Main Authors: | , |
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| Other Authors: | |
| Format: | Ebook |
| Language: | English |
| Published: |
Dordrecht ; New York :
Springer,
[2009]
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| Series: | Topological fixed point theory and its applications ;
v. 6. |
| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | "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."--Publisher's website. |
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| Physical Description: | 1 online resource (x, 368 pages). |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 0387758178 9780387758176 0387758186 9780387758183 1282292137 9781282292130 |