Nonsmooth Analysis

• Main Author: Schirotzek, Winfried (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Universitext
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Analysis.

The book treats various concepts of generalized derivatives and subdifferentials in normed spaces, their geometric counterparts (tangent and normal cones) and their application to optimization problems. It starts with the subdifferential of convex analysis, passes to corresponding concepts for local...

Table of Contents:

• Preliminaries
• The Conjugate of Convex Functionals
• Classical Derivatives
• The Subdifferential of Convex Functionals
• Optimality Conditions for Convex Problems
• Duality of Convex Problems
• Derivatives and Subdifferentials of Lipschitz Functionals
• Variational Principles
• Subdifferentials of Lower Semicontinuous Functionals
• Multifunctions
• Tangent and Normal Cones
• Optimality Conditions for Nonconvex Problems
• Extremal Principles and More Normals and Subdifferentials.