Fixed point theory in modular function spaces [electronic resource] / Mohamed A. Khamsi, Wojciech M. Kozlowski.

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Fixed point theory in modular function spaces [electronic resource] / Mohamed A. Khamsi, Wojciech M. Kozlowski.

9783319140513 electronic book
3319140515 electronic book
9783319140506

Cham : Birkhäuser, [2015]

©2015

English

1 online resource.

10.1007/978-3-319-14051-3 doi

QA329.9

515.7248

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.

Includes bibliographical references and index.

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Description based on online resource; title from PDF title page (viewed March 27 2015).

Print version: 9783319140506

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