Title:

On the concept of criticality for vector-valued functions

Subtitle:

Raport Badawczy = Research Report ; RB/48/2012

Creator:

Bednarczuk, Ewa M.

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2012

Description:

12 pages ; 21 cm ; Bibliography p. 11-12-12

Subject and Keywords:

Vector optimization ; Optymalizacja wektorowa ; Critical points ; Quasi-relative interior ; Punkty krytyczne ; Quasi-relatywne wnętrze

Abstract:

This article proposes a definition of the criticality for vector­valued functions based on the concept of quasi-relative interior. This allows to make the concept of criticality operational for vector optimization problems where the interior of the order generating cone has empty interior. On the basis of the presented concept necessary optimality conditions were proven for closed convex pointed cones and cone-convex vector-valued functions as well as for closed convex pointed generating cones and general directionally differentiable vector-valued mappings.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2012-48

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