Genericity in nonlinear analysis
 Responsibility
 Simeon Reich, Alexander J. Zaslavski.
 Language
 English.
 Publication
 New York : Springer, [2014]
 Copyright notice
 ©2014
 Physical description
 xiii, 520 pages : illustrations ; 24 cm.
 Series
 Developments in mathematics ; v. 34.
Access
Creators/Contributors
 Author/Creator
 Reich, Simeon.
 Contributor
 Zaslavski, Alexander J.
Contents/Summary
 Bibliography
 Includes bibliographical references (pages 513518) and index.
 Contents

 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. SetValued Mappings. 10. Minimal Configurations in the AubryMather Theory. References. Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 This book presents an extensive collection of stateoftheart 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 everincreasing 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 selfcontained; 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 setvalued 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 AubryMather theory.
(source: Nielsen Book Data)
Bibliographic information
 Publication date
 2014
 Copyright date
 2014
 Series
 Developments in mathematics, 13892177 ; volume 34
 ISBN
 9781461495321
 1461495326