TY - BOOK AU - Reich,Simeon AU - Zaslavski,Alexander J. TI - Genericity in nonlinear analysis T2 - Developments in mathematics SN - 9781461495321 (hard cover : alk. paper) U1 - 515.7248 23 PY - 2013/// CY - New York : PB - Springer, KW - Nonlinear functional analysis. KW - MATHEMATICS / Calculus KW - MATHEMATICS / Mathematical Analysis N1 - Includes bibliographical references and index; 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 N2 - 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 ER -