TY - BOOK ID - 4863879 TI - Fixed Point Theory in Modular Function Spaces AU - Khamsi, Mohamed A. AU - Kozlowski, Wojciech M. PY - 2015 SN - 9783319140513 3319140507 9783319140506 3319140515 PB - Cham : Springer International Publishing : Imprint: Birkhäuser, DB - UniCat KW - Mathematics. KW - Operator Theory. KW - Functional Analysis. KW - Functional analysis. KW - Operator theory. KW - Mathématiques KW - Analyse fonctionnelle KW - Théorie des opérateurs KW - Fixed point theory. KW - Modular functions. KW - Mathematics KW - Physical Sciences & Mathematics KW - Calculus KW - Functions, Modular KW - Fixed point theorems (Topology) KW - Elliptic functions KW - Group theory KW - Number theory KW - Nonlinear operators KW - Coincidence theory (Mathematics) KW - Functional calculus KW - Calculus of variations KW - Functional equations KW - Integral equations KW - Functional analysis UR - https://www.unicat.be/uniCat?func=search&query=sysid:4863879 AB - 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. ER -