Fixed Point Theory in Modular Function Spaces by Mohamed A. Khamsi,Wojciech M. Kozlowski

Off Functional Analysis

By Mohamed A. Khamsi,Wojciech M. Kozlowski

This monograph offers a concise creation to the most effects and strategies of the fastened element idea in modular functionality areas. Modular functionality areas are usual generalizations of either functionality and series editions of many very important areas like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, Calderon-Lozanovskii areas, and others. as a rule, quite in purposes to imperative operators, approximation and stuck element effects, modular kind stipulations are even more normal and will be extra simply established than their metric or norm opposite numbers. There also are very important effects that may be proved basically utilizing the gear of modular functionality areas. the fabric is gifted in a scientific and rigorous demeanour that permits readers to understand the main principles and to realize a operating wisdom of the idea. even though the paintings is basically self-contained, large bibliographic references are incorporated, and open difficulties and extra improvement instructions are advised whilst applicable.

The monograph is focused quite often on the mathematical learn group however it can be obtainable to graduate scholars attracted to practical research and its functions. it might probably additionally function a textual content for a complicated direction in fastened aspect idea of mappings appearing in modular functionality spaces.​

Show description

Read Online or Download Fixed Point Theory in Modular Function Spaces PDF

Best functional analysis books

Nonlinear Smoothing and Multiresolution Analysis: 150 (International Series of Numerical Mathematics)

This monograph provides a brand new concept for research, comparisonand layout of nonlinear smoothers, linking to establishedpractices. even if part of mathematical morphology, the specialproperties yield many easy, robust and illuminating resultsleading to a singular nonlinear multiresolution research with pulsesthat might be as traditional to imaginative and prescient as wavelet research is toacoustics.

Local Minimization, Variational Evolution and Γ-Convergence (Lecture Notes in Mathematics)

This e-book addresses new questions relating to the asymptotic description of converging energies from the viewpoint of neighborhood minimization and variational evolution. It explores the hyperlinks among Gamma-limits, quasistatic evolution, gradient flows and solid issues, elevating new questions and offering new strategies.

Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)

The publication develops smooth equipment and specifically the "generic chaining" to sure stochastic procedures. This equipment permits specifically to get optimum bounds for Gaussian and Bernoulli methods. purposes are given to reliable approaches, infinitely divisible tactics, matching theorems, the convergence of random Fourier sequence, of orthogonal sequence, and to useful research.

Evolution PDEs with Nonstandard Growth Conditions: Existence, Uniqueness, Localization, Blow-up (Atlantis Studies in Differential Equations)

This monograph bargains the reader a remedy of the speculation of evolution PDEs with nonstandard development stipulations. This type contains parabolic and hyperbolic equations with variable or anisotropic nonlinear constitution. We increase equipment for the examine of such equations and current an in depth account of contemporary effects.

Additional resources for Fixed Point Theory in Modular Function Spaces

Example text

Download PDF sample

The Smart Woman's E-books > Functional Analysis > Fixed Point Theory in Modular Function Spaces by Mohamed A. Khamsi,Wojciech M. Kozlowski
Rated 4.96 of 5 – based on 10 votes

About The Author