Quasidifferentials and maximal normal operators

Liqun Qi

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5 Citations (Scopus)

Abstract

Quasidifferentials are studied with the theory of maximal normal operators. The quasidifferential of a normally quasidifferentiable function is a pair of upper and lower semicontinuous operators, which are special maximal normal operators. The function sum of the upper and lower semicontinuous operators is the Clarke subdifferential of this function. Basic calculus and minimal forms of quasidifferentials are also discussed.
Original languageEnglish
Pages (from-to)263-271
Number of pages9
JournalMathematical Programming
Volume49
Issue number1-3
DOIs
Publication statusPublished - 1 Nov 1990
Externally publishedYes

Keywords

  • maximal normal operator
  • quasidifferential
  • semicontinuous operator
  • Subdifferential

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics(all)
  • Safety, Risk, Reliability and Quality
  • Management Science and Operations Research
  • Software
  • Computer Graphics and Computer-Aided Design
  • Computer Science(all)

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