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Fixed Point Theory in Modular Function Spaces / by Mohamed A. Khamsi, Wojciech M. Kozlowski
版 | 1st ed. 2015. |
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出版者 | (Cham : Springer International Publishing : Imprint: Birkhäuser) |
出版年 | 2015 |
大きさ | X, 245 p : online resource |
著者標目 | *Khamsi, Mohamed A author Kozlowski, Wojciech M author SpringerLink (Online service) |
件 名 | LCSH:Operator theory LCSH:Functional analysis FREE:Operator Theory FREE:Functional Analysis |
一般注記 | Introduction -- Fixed Point Theory in Metric Spaces: An Introduction -- Modular Function Spaces -- Geometry of Modular Function Spaces -- Fixed Point Existence Theorems in Modular Function Spaces -- Fixed Point Construction Processes -- Semigroups of Nonlinear Mappings in Modular Function Spaces -- Modular Metric Spaces This monograph provides a concise introduction to the main results and methods of the fixed point theory in modular function spaces. Modular function spaces are natural generalizations of both function and sequence variants of many important spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, Calderon-Lozanovskii spaces, and others. In most cases, particularly in applications to integral operators, approximation and fixed point results, modular type conditions are much more natural and can be more easily verified than their metric or norm counterparts. There are also important results that can be proved only using the apparatus of modular function spaces. The material is presented in a systematic and rigorous manner that allows readers to grasp the key ideas and to gain a working knowledge of the theory. Despite the fact that the work is largely self-contained, extensive bibliographic references are included, and open problems and further development directions are suggested when applicable. The monograph is targeted mainly at the mathematical research community but it is also accessible to graduate students interested in functional analysis and its applications. It could also serve as a text for an advanced course in fixed point theory of mappings acting in modular function spaces HTTP:URL=https://doi.org/10.1007/978-3-319-14051-3 |
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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 | 9783319140513 |
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電子リソース |
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EB00207597 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA329-329.9 DC23:515.724 |
書誌ID | 4000116791 |
ISBN | 9783319140513 |
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※2017年9月4日以降