Co-Jacobian for lipschitzian maps

Zsolt Páles, Vera Zeidan

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The notion of co-Jacobian is introduced for locally Lipschitz functions acting between arbitrary normed spaces. The main results of this paper provide a characterization, calculus rules, a mean value theorem, as well as the computation of the co-Jacobian of piecewise smooth functions. Comparisons with known differentiability notions and Mordukhovich's co-derivatives are derived.

Original languageEnglish
Pages (from-to)57-78
Number of pages22
JournalSet-Valued and Variational Analysis
Volume18
Issue number1
DOIs
Publication statusPublished - Feb 1 2010

Keywords

  • Chain rule
  • Characterization theorem
  • Co-Jacobian
  • Continuous selection
  • Generalized Jacobian
  • Sum rule

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Numerical Analysis
  • Geometry and Topology
  • Applied Mathematics

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