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 White Male Nostalgia in Contemporary North American Literature by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Deploying Foresight for Policy and Strategy Makers by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Information Theoretic Security by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Theoretical Physics 2 by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Reviews in Fluorescence 2015 by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Advances in Practical Applications of Survivable Agents and Multi-Agent Systems: The PAAMS Collection by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Very-high-energy Gamma-ray Observations of Pulsar Wind Nebulae and Cataclysmic Variable Stars with MAGIC and Development of Trigger Systems for IACTs by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Information Retrieval Technology by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Movement Disorder Genetics by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Understanding Kidney Diseases by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Computational and Statistical Methods in Intelligent Systems by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Web and Big Data by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Money - The New Rules of the Game by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Atlas of Coronary Intravascular Optical Coherence Tomography by Mohamed A. Khamsi, Wojciech M. Kozlowski
Cover of the book Basics of Thermal Field Theory 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