Fixed Point Theory in Modular Function Spaces
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Reviews / Votes
"The book is essentially self-contained and it provides an outstanding resource for those interested in this line of research." (María Angeles Japón Pineda, Mathematical Reviews, March, 2016)
"The book is devoted to a comprehensive treatment of what is currently known about the fixed point theory in modular function spaces. . the book will be useful for all mathematicians whose interests lie in nonlinear analysis, in particular, in the theory of function spaces and fixed point theory." (Peter P. Zabre iko, zbMATH 1318.47002, 2015)
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Persons
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.
Wojciech M. (Walter) Kozlowski, Ph.D. is a professor in the School of Mathematics and Statistics at the University of New South Wales in Sydney, Australia. His research interests include functional analysis, function spaces, fixed point theory, approximation theory and applications. He received his doctorate at the Jagiellonian University in Krakow in 1981. Dr. Kozlowski, a Fulbright Scholar at the California University of Technology in Pasadena in years 1986 - 1988, works also in a capacity of the business consultant for the telecommunications industry.
Content
Introduction.- Fixed Point Theory in Metric Spaces: An Introduction.- Modular Function Spaces.- Geometry of Modular Function Spaces.- Fixed Point Existence Theorems in Modular Function Spaces.- Fixed Point Construction Processes.- Semigroups of Nonlinear Mappings in Modular Function Spaces.- Modular Metric Spaces.
