LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515.7
Title	Genericity in Nonlinear Analysis ([Ebook]) / by Simeon Reich, Alexander J. Zaslavski.
Author	Reich, Simeon
Added Personal Name	Zaslavski, Alexander J.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY Springer 2014.
Physical Details	XIII, 520 pages : online resource.
ISBN	9781461495338
Summary Note	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.:
Contents note	Preface -- 1. Introduction -- 2. Fixed Point Results and Convergence of Powers of Operators -- 3. Contractive Mappings -- 4. Dynamical Systems with Convex Lyapunov Functions -- 5. Relatively Nonexpansive Operators with Respect to Bregman Distances.- 6. Infinite Products -- 7. Best Approximation -- 8. Descent Methods -- 9. Set-Valued Mappings -- 10. Minimal Configurations in the Aubry–Mather Theory -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4614-9533-8
Links to Related Works	Subject References: Calculus of variations and optimal control; optimization . Functional Analysis . Mathematical optimization . Mathematics . Operator Theory . Authors: author . Reich, Simeon . Zaslavski, Alexander J. . Corporate Authors: SpringerLink (Online service) . Series: Developments in mathematics . Classification: 515.7 . 515.7 (DDC 23) .

Catalogue Display

Genericity in Nonlinear Analysis

Reviews