The SECQ Linear Regularity and the Strong CHIP for In nite System of Closed Convex Sets in Normed Linear Spaces
نویسندگان
چکیده
We consider a nite or in nite 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 quali cations such as the linear regularity the strong CHIP and Jameson s G property are estab lished With suitable continuity assumption we show how this property can be ensured from the corresponding property of some of its nite subfamilies
منابع مشابه
The SECQ, Linear Regularity, and the Strong CHIP for an Infinite System of Closed Convex Sets in Normed Linear Spaces
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 prop...
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