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Fixed Point Theory in Modular Function Spaces

Name: Fixed Point Theory in Modular Function Spaces
Brand: Birkhauser
SKU: 09094843
Price: 19902 HUF
Availability: InStock
Author: Mohamed A. Khamsi
ISBN: 9783319140506

Mohamed A. Khamsi

Walter Kozlowski

Language

English

Book Hardback

Libristo code: 09094843

Publishers Birkhauser, March 2015

This monograph provides a concise introduction to the main results and methods of the fixed point th... Full description

Libristo code: 09094843

136 b

19 902 Ft

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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.