Pushing apart disjoint closed sets in normed linear spaces
نویسندگان
چکیده
منابع مشابه
Strong CHIP for Infinite System of Closed Convex Sets in Normed Linear Spaces
For a general (possibly infinite) system of closed convex sets in a normed linear space we provide several sufficient conditions for ensuring the strong conical hull intersection property. One set of sufficient conditions is given in terms of the finite subsystems while the other sets are in terms of the relaxed interior-point conditions together with appropriate continuity of the associated se...
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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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ژورنال
عنوان ژورنال: General Topology and its Applications
سال: 1971
ISSN: 0016-660X
DOI: 10.1016/0016-660x(71)90002-x