Genericity in Nonlinear Analysis

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.

Comprehensive treatment of generic nonlinear analysis methodology and its use in solving general classes of interesting and important problems May be used as supplementary text in graduate courses in nonlinear functional analysis, optimization theory, and approximation theory Written by highly prolific authors in the field with decades of experience Includes supplementary material: sn.pub/extras

Autorentext

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).

Inhalt
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 AubryMather Theory.- References.- Index.