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

61 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

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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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