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Raport Badawczy = Research Report ; RB/48/2012
Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
12 pages ; 21 cm ; Bibliography p. 11-12-12
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.
Raport Badawczy = Research Report
Creative Commons Attribution BY 4.0 license
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: ; -
Systems Research Institute of the Polish Academy of Sciences
Library of Systems Research Institute PAS
19 paź 2021
8 sty 2020
47
https://rcin.org.pl./publication/112130
Nazwa wydania | Data |
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RB-2012-48 : Bednarczuk Ewa: On the concept of criticality for vector-valued functions | 19 paź 2021 |
Bednarczuk, Ewa M.
Bednarczuk, Ewa M.
Bednarczuk, Ewa M.
Emelichev, Vladimir Podkopayeu, Dzmitry
Bednarczuk, Ewa M.
Bednarczuk, Ewa M.