Nonsmooth Analysis

  • Winfried¬†Schirotzek

Part of the Universitext book series (UTX)

About this book

Introduction

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 locally Lipschitz continuous functions and finally presents subdifferentials for general lower semicontinuous functions. All basic tools are presented where they are needed; this concerns separation theorems, variational and extremal principles as well as relevant parts of multifunction theory. The presentation is rigorous, with detailed proofs. Each chapter ends with bibliographic notes and exercises.

Keywords

Derivative Nonsmooth analysis calculus extrema multifunction theory optimization theory variational analysis

Authors and affiliations

  • Winfried¬†Schirotzek
    • 1
  1. 1.Fachrichtung MathematikTechnische Universität DresdenDresdenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-71333-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-71332-6
  • Online ISBN 978-3-540-71333-3
  • About this book