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Remarks of differentiability of metric projections onto cones of nonnegative functions
Subtitle:Raport Badawczy = Research Report ; RB/1/2002
Creator: Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:10 stron ; 21 cm ; Bibliografia s. 9-10
Type of object: Subject and Keywords:Metric projection ; Cones nonnegative functions ; Bouligand differentiability
Abstract:The differentiability properties of the metric projections onto the cones of nonnegative functions in Lp(0,1) and in W1,p(0,1) are considered. It is shown that the metric projection mapping is Bouligand differentiable in Lp(0,1), but it is not Bouligand differentiable in W1,p(0,1).
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Licencja Creative Commons Uznanie autorstwa 4.0
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Digitizing institution:Instytut Badań Systemowych Polskiej Akademii Nauk
Original in:Biblioteka Instytutu Badań Systemowych PAN
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