Nonsmooth 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...

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Main Author: Schirotzek, Winfried
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2007, 2007
Edition:1st ed. 2007
Series:Universitext
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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