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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. |
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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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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9780387758183 |
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電子リソース |
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EB00230959 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000115983 |
ISBN | 9780387758183 |
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※2017年9月4日以降