Perturbed optimization problems in Banach spaces
نویسندگان
چکیده
منابع مشابه
Generic Well-posedness for Perturbed Optimization Problems in Banach Spaces
Let X be a Banach space and Z a relatively weakly compact subset of X. Let J : Z → R be a upper semicontinuous function bounded from above and p ≥ 1. This paper is concerned with the perturbed optimization problem of finding z0 ∈ Z such that ‖x− z0‖ + J(z0) = supz∈Z{‖x− z‖p + J(z)}, which is denoted by maxJ(x, Z). We prove in the present paper that if X is Kadec w.r.t. Z, then the set of all x ...
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Article history: Received 1 January 2008 Available online 27 May 2008 Submitted by B.S. Mordukhovich
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Let X be a Banach space and Z a nonempty closed subset of X. Let J :Z → R be an upper semicontinuous function bounded from above. This paper is concerned with the perturbed optimization problem supz∈Z{J (z)+ ‖x − z‖}, which is denoted by (x, J )-sup. We shall prove in the present paper that if Z is a closed boundedly relatively weakly compact nonempty subset, then the set of all x ∈X for which ...
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ژورنال
عنوان ژورنال: Mémoires de la Société mathématique de France
سال: 1979
ISSN: 0249-633X,2275-3230
DOI: 10.24033/msmf.263