ENGLISH

Nonsmooth Analysis

By Winfried Schirotzek

Book information

Publisher
Springer
Year
2007
ISBN
9783540713326, 3-540-71332-8
Open Library ID
OL9063629M
Language
english
Format
PDF
Filesize
5 MB (4967128 bytes)
Series
Universitext
Edition
1
Pages
380\380
Time added
2010-04-25 21:59:20

Description

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.

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