Implicit Functions and Solution Mappings A View from Variational Analysis

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...

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Bibliographic Details
Main Authors: Dontchev, Assen L., Rockafellar, R. Tyrrell (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 2009, 2009
Edition:1st ed. 2009
Series:Springer Monographs in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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