Download E-books Fixed Point Theory in Modular Function Spaces PDF

Analysis

By Mohamed A. Khamsi, Wojciech M. Kozlowski

This monograph presents a concise advent to the most effects and techniques of the mounted element concept in modular functionality areas. Modular functionality areas are traditional generalizations of either functionality and series versions of many very important areas like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, Calderon-Lozanovskii areas, and others. typically, rather in purposes to quintessential operators, approximation and stuck aspect effects, modular kind stipulations are even more average and will be extra simply validated than their metric or norm opposite numbers. There also are vital effects that may be proved purely utilizing the gear of modular functionality areas. the cloth is gifted in a scientific and rigorous demeanour that enables readers to understand the major rules and to achieve a operating wisdom of the idea. although the paintings is basically self-contained, broad bibliographic references are integrated, and open difficulties and additional improvement instructions are prompt whilst acceptable. The monograph is focused ordinarily on the mathematical examine neighborhood however it can be available to graduate scholars attracted to practical research and its functions. it may possibly additionally function a textual content for a sophisticated path in mounted aspect conception of mappings appearing in modular functionality spaces.​

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