Quasidifferentials and maximal normal operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1990 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Programming, volume 49, pages 263-271 (issn: 0025-5610, eissn: 1436-4646,

Copyright policy )

Authors: Liqun Qi 0001;

doi: 10.1007/bf01588791

Quasidifferentials and maximal normal operators

- Summary
- Metrics

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.

Related Organizations

University of Wisconsin–Oshkosh
United States
University of Wisconsin–Madison
United States

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	9
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average