书目名称 | Fixed Point Theory in Modular Function Spaces | 编辑 | Mohamed A. Khamsi,Wojciech M. Kozlowski | 视频video | | 概述 | Presents state-of-the-art advancements in the field of modular function theory.Provides a self-contained overview of the topic.Includes open problems, extensive bibliographic references, and suggestio | 图书封面 |  | 描述 | 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 aresuggested 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. | 出版日期 | Book 2015 | 关键词 | Fixed Point; Iterative Processes; Metric Fixed Point Theory; Modular Function Space; Modular Metric Spac | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-14051-3 | isbn_softcover | 978-3-319-34635-9 | isbn_ebook | 978-3-319-14051-3 | copyright | Springer International Publishing Switzerland 2015 |
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