Fixed Point Theory in Modular Function Spaces

• Main Authors: Khamsi, Mohamed A. (Author), Kozlowski, Wojciech M. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Subjects: Mathematics.; Functional analysis.; Operator theory.; Operator Theory.; Functional Analysis.

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, Or...

Table of Contents:

• 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.