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Fixed Point Theory in Modular Function Spaces

Posted By: Underaglassmoon
Fixed Point Theory in Modular Function Spaces

Fixed Point Theory in Modular Function Spaces
Birkhäuser | Mathematics | May 14 2015 | ISBN-10: 3319140507 | 245 pages | pdf | 2.09 mb

by Mohamed A. Khamsi (Author), Wojciech M. Kozlowski (Author)

From the Back Cover
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.​

About the Author
Mohamed Amine Khamsi, Ph.D. is a Professor in the Department of Mathematical Sciences at the University of Texas at El Paso, Texas, USA. His research interests include functional analysis, fixed point theory, discrete dynamical systems, and logic programming. Dr. Khamsi received his Ph.D. at the University Paris VI in 1987. Walter Kozlowski, Ph.D. is a professor in the School of Mathematics and Statistics at the University of New South Wales.

Content Level » Research
Keywords » Fixed Point - Iterative Processes - Metric Fixed Point Theory - Modular Function Space - Modular Metric Space - Orlicz Space
Related subjects » Birkhäuser Mathematics