Quasidifferentials and maximal normal operators

Liqun Qi

doi:10.1007/BF01588791

Quasidifferentials and maximal normal operators

Liqun Qi

Research output: Journal article publication › Journal article › Academic research › peer-review

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 language	English
Pages (from-to)	263-271
Number of pages	9
Journal	Mathematical Programming
Volume	49
Issue number	1-3
DOIs	https://doi.org/10.1007/BF01588791
Publication status	Published - 1 Nov 1990
Externally published	Yes

Keywords

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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10.1007/BF01588791

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AB - 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.

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KW - quasidifferential

KW - semicontinuous operator

KW - Subdifferential

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DO - 10.1007/BF01588791

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IS - 1-3

ER -

Quasidifferentials and maximal normal operators

Abstract

Keywords

ASJC Scopus subject areas

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