Object structure
Title:

Stability analysis for parametric vector optimization problems * Preliminaries

Subtitle:

Raport Badawczy = Research Report ; RB/25/2001

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:

2001

Description:

1-17, 123-130 pages ; 21 cm ; Bibliography p. 123-130

Subject and Keywords:

Parametric vector optimization ; Stability analysis ; Hausdorff continuity, ; Hӧlder continuity ; Parametryczna optymalizacja wektorowa ; Warunek hӧldera ; Warunek hausdorffa

Abstract:

The work examines stability of minimal points and solutions to parametric (or perturbed) vector optimization problems in the framework of real topological vector spaces and, if necessary, normed spaces. Because of particular importance of finite-dimensional problems, called multicriteria optimization problems, which model various real-life phenomena, a special attention is paid to the finite-dimensional case. Since one can hardly expect the sets of minimal points and solutions to be singletons, set-valued mappings are natural tools for these studies.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2001-25

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

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