Open AccessProperties of typical bounded closed convex sets in Hilbert space
Author(s) -
F. S. de Blasi,
N. V. Zhivkov
Publication year - 2005
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/aaa.2005.423
Subject(s) - algorithm , artificial intelligence , mathematics , computer science
For a nonempty separable convex subset X of a Hilbert space ℍ(Ω), it is typical (in the sense of Baire category) that a bounded closed convex set C⊂ℍ(Ω) defines an m-valued metric antiprojection (farthest point mapping) at the points of a dense subset of X, whenever m is a positive integer such that m≤dimX+1
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