Genericity in Nonlinear Analysis

• Main Authors: Reich, Simeon (Author), Zaslavski, Alexander J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2014.
• Series: Developments in Mathematics, 34
• Subjects: Mathematics.; Functional analysis.; Operator theory.; Calculus of variations.; Functional Analysis.; Operator Theory.; Calculus of Variations and Optimal Control; Optimization.

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 a...

Table of 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. Set-Valued Mappings
• 10. Minimal Configurations in the Aubry–Mather Theory
• References
• Index.