Nonsmooth Equations in Optimization Regularity, Calculus, Methods and Applications /

• Main Authors: Klatte, Diethard (Author), Kummer, Bernd (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2002.
• Series: Nonconvex Optimization and Its Applications, 60
• Subjects: Mathematics.; Approximation theory.; Functional analysis.; Computer mathematics.; Mathematical optimization.; Calculus of variations.; Optimization.; Calculus of Variations and Optimal Control; Optimization.; Computational Mathematics and Numerical Analysis.; Approximations and Expansions.; Functional Analysis.

Many questions dealing with solvability, stability and solution methods for va- ational inequalities or equilibrium, optimization and complementarity problems lead to the analysis of certain (perturbed) equations. This often requires a - formulation of the initial model being under consideration. Du...

Table of Contents:

• Basic Concepts
• Regularity and Consequences
• Characterizations of Regularity by Derivatives
• Nonlinear Variations and Implicit Functions
• Closed Mappings in Finite Dimension
• Analysis of Generalized Derivatives
• Critical Points and Generalized Kojima-functions
• Parametric Optimization Problems
• Derivatives and Regularity of Further Nonsmooth Maps
• Newton’s Method for Lipschitz Equations
• Particular Newton Realizations and Solution Methods
• Basic Examples and Exercises.