The SECQ, linear regularity, and the strong chip for an infinite system of closed convex sets in normed linear spaces

Chong Li; K. F. Ng; Ting Kei Pong

doi:10.1137/060652087

The SECQ, linear regularity, and the strong chip for an infinite system of closed convex sets in normed linear spaces

Chong Li
, K. F. Ng
, Ting Kei Pong

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

63 Citations (Scopus)

Abstract

We consider a (finite or infinite) family of closed convex sets with nonempty intersection in a normed space. A property relating their epigraphs with their intersection's epigraph is studied, and its relations to other constraint qualifications (such as the linear regularity, the strong CHIP, and Jameson's (G)-property) are established. With suitable continuity assumption we show how this property can be ensured from the corresponding property of some of its finite subfamilies.

Original language	English
Pages (from-to)	643-665
Number of pages	23
Journal	SIAM Journal on Optimization
Volume	18
Issue number	2
DOIs	https://doi.org/10.1137/060652087
Publication status	Published - 1 Dec 2007
Externally published	Yes

Keywords

Interior-point condition
Strong conical hull intersection property
System of closed convex sets

ASJC Scopus subject areas

Theoretical Computer Science
Software

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10.1137/060652087

Cite this

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KW - Strong conical hull intersection property

KW - System of closed convex sets

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The SECQ, linear regularity, and the strong chip for an infinite system of closed convex sets in normed linear spaces

Abstract

Keywords

ASJC Scopus subject areas

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