Title:

Remarks of differentiability of metric projections onto cones of nonnegative functions

Subtitle:

Raport Badawczy = Research Report ; RB/1/2002

Creator:

Malanowski, Kazimierz : Autor

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2002

Description:

10 pages ; 21 cm ; Bibliography p. 9-10

Type of object:

Book/Chapter

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:

Text

Detailed Resource Type:

Report

Source:

RB-2002-01

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open