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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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
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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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreSpringer Verlag
- Data di pubblicazione2009
- ISBN 10 0387758178
- ISBN 13 9780387758176
- RilegaturaCopertina rigida
- LinguaInglese
- Numero di pagine368
- Contatto del produttorenon disponibile
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Fixed Point Theory for Lipschitzian-type Mappings with Applications.
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New York, NY, Springer New York., 2008
ISBN 10: 0387758178
ISBN 13: 9780387758176
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Fixed Point Theory for Lipschitzian-type Mappings with Applications
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Condizione: New. Presents many basic techniques and results in fixed point theorySelf-contained presentationGood graduate text with exercises at the end of each chapterIn recent years, the fixed point theory of Lipschitzian-type mappings has . Codice articolo 5910992
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Fixed Point Theory for LipschitzianType Mappings with Applications 6 Topological Fixed Point Theory and Its Applications
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Fixed Point Theory for Lipschitzian-type Mappings with Applications
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Springer-Verlag New York Inc., 2009
ISBN 10: 0387758178
ISBN 13: 9780387758176
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Fixed Point Theory for Lipschitzian-type Mappings with Applications
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ISBN 13: 9780387758176
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Buch. Condizione: Neu. Neuware -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. Codice articolo 9780387758176
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