Fixed Point Theory in Modular Function Spaces

Nonfiction, Science & Nature, Mathematics, Functional Analysis
Cover of the book Fixed Point Theory in Modular Function Spaces by Mohamed A. Khamsi, Wojciech M. Kozlowski, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Mohamed A. Khamsi, Wojciech M. Kozlowski ISBN: 9783319140513
Publisher: Springer International Publishing Publication: March 24, 2015
Imprint: Birkhäuser Language: English
Author: Mohamed A. Khamsi, Wojciech M. Kozlowski
ISBN: 9783319140513
Publisher: Springer International Publishing
Publication: March 24, 2015
Imprint: Birkhäuser
Language: English

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.​

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.​

More books from Springer International Publishing

Cover of the book Computational Science/Intelligence and Applied Informatics by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Artificial Intelligence and Soft Computing by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book The Science of Vehicle Dynamics by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Data Analytics by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book A Feminist Companion to the Posthumanities by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Patient Safety and Quality in Pediatric Hematology/Oncology and Stem Cell Transplantation by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book The Evolution of Agricultural Credit during China’s Republican Era, 1912–1949 by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Perioperative Medicine – Current Controversies by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Exercises and Problems in Mathematical Methods of Physics by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Robust Digital Processing of Speech Signals by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book High-Voltage Test and Measuring Techniques by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Ordinary Differential Equations and Mechanical Systems by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Transdisciplinary Systems Engineering by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Software Quality. The Future of Systems- and Software Development by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Digital Heritage. Progress in Cultural Heritage: Documentation, Preservation, and Protection by Mohamed A. Khamsi, Wojciech M. Kozlowski
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy