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Title: On Pareto and Salukwadze optimization problems

Creator:

Kotarski, Wiesław

Date:

2000

Resource Type:

artykuł

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Group publication title:

AMCS, volume 10 (2000)

Abstract:

In the paper, some problems of vector optimization are considered. Vector optimality is understood in the Pareto sense. Using the notion of Ponstein convexity, we formulate a ?scalarization? theorem. Two examples (vector optimization in R2 and an optimal-control problem for a parabolic equation with a vector performance index) are discussed. A Pareto boundary and a Salukwadze optimum are obtained for each of them. Additionally, for some vector optimization problems in R2, a criterion space is found. All calculations are performed with the use of Maple V. In the Appendix, a sketch of the proof of the main theorem on ?scalarization? is given.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Resource Identifier:

oai:zbc.uz.zgora.pl:58733

Pages:

465-485

Source:

AMCS, volume 10, number 3 (2000) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

Pareto and Salukwadze optima Pareto boundary criterion space scalarizarion

Object collections:

Last modified:

Jul 14, 2025

In our library since:

Jul 16, 2021

Number of object content hits:

139

All available object's versions:

https://zbc.uz.zgora.pl/repozytorium/publication/65511

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On Pareto and Salukwadze optimization problems Jul 14, 2025
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