Quasidifferentials and maximal normal operators

Liqun Qi

Research output: Journal article publicationJournal articleAcademic researchpeer-review

5 Citations (Scopus)


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
Issue number1-3
Publication statusPublished - 1 Nov 1990
Externally publishedYes


  • maximal normal operator
  • quasidifferential
  • semicontinuous operator
  • Subdifferential

ASJC Scopus subject areas

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


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