Genericity in Nonlinear Analysis

Simeon Reich · Alexander J. Zaslavski

nov 2013 · Developments in Mathematics Libro 34 · Springer Science & Business Media

Ebook

520

pagine

Valutazioni e recensioni non sono verificate Scopri di più

Informazioni su questo ebook

This book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medicine. The text may be used as supplementary material for graduate courses in nonlinear functional analysis, optimization theory and approximation theory, and is a treasure trove for instructors, researchers, and practitioners in mathematics and in the mathematical sciences.

Each chapter is self-contained; proofs are solid and carefully communicated. Genericity in Nonlinear Analysis is the first book to systematically present the generic approach to nonlinear analysis. Topics presented include convergence analysis of powers and infinite products via the Baire Category Theorem, fixed point theory of both single- and set-valued mappings, best approximation problems, discrete and continuous descent methods for minimization in a general Banach space, and the structure of minimal energy configurations with rational numbers in the Aubry–Mather theory.

Informazioni sull'autore

Simeon Reich is the Lord Leonard Wolfson Academic Chair and Professor of Mathematics at Technion-Israel Institute of Technology in Haifa. He has published more than fifty articles in mathematics journals including the Journal of Nonlinear Convex Analysis, SIAM Journal of Optimization, and Journal of Applied Analysis and fifteen books.

Alexander J. Zaslavski is a Senior Researcher in the Department of Mathematics at Technion-Israel Institute of Technology in Haifa. He has published over one hundred journal articles, and has authored books including Optimization on Metric and Normed Spaces (Springer, 2010) and Nonconvex Optimal Control and Variational Problems (Springer, 2013).

Valuta questo ebook

Dicci cosa ne pensi.

Informazioni sulla lettura

Smartphone e tablet

Installa l'app Google Play Libri per Android e iPad/iPhone. L'app verrà sincronizzata automaticamente con il tuo account e potrai leggere libri online oppure offline ovunque tu sia.

Laptop e computer

Puoi ascoltare gli audiolibri acquistati su Google Play usando il browser web del tuo computer.

eReader e altri dispositivi

Per leggere su dispositivi e-ink come Kobo e eReader, dovrai scaricare un file e trasferirlo sul dispositivo. Segui le istruzioni dettagliate del Centro assistenza per trasferire i file sugli eReader supportati.

Segnala contenuti illegali