Implicit Functions and Solution Mappings A View from Variational Analysis /

• Main Authors: Dontchev, Asen L. (Author), Rockafellar, R. Tyrrell (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Mathematical optimization.; Engineering economics.; Engineering economy.; Analysis.; Optimization.; Engineering Economics, Organization, Logistics, Marketing.

The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This book treats the implicit function paradigm in the classical framework and beyond, focusing largely on properties of sol...

Table of Contents:

• Functions Defined Implicitly by Equations
• Implicit Function Theorems for Variational Problems
• Regularity properties of set-valued solution mappings
• Regularity Properties Through Generalized Derivatives
• Regularity in infinite dimensions
• Applications in Numerical Variational Analysis.