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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Bibliographic Details
Main Author: Schirotzek, Winfried. author (author)
Format: eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg 2007.
Edition:1st ed. 2007.
Series:Universitext,
Subjects:
See on Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009460832006719
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.