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ID 15389
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12
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Author
Kuk Hun
Tanino, Tetsuzo
Tanaka, Masahiro
Abstract
In this paper we provide some theoretical results on stability and sensitivity analysis in convex vector optimization. Given a family of parametrized vector optimization problems, the perturbation maps are defined as the set-valued map which associates to each parameter value the set of minimal points (properly minimal points, weakly minimal points) of the perturbed feasible set with respect to an ordering convex cone. Sufficient conditions for the upper and lower semicontinuity of the perturbations map are obtained. We also provide quantitative properties of the perturbation maps under some convexity assumptions.
Publication Title
Memoirs of the Faculty of Engineering, Okayama University
Published Date
1995-12-28
Volume
volume30
Issue
issue1
Publisher
Faculty of Engineering, Okayama University
Publisher Alternative
岡山大学工学部
Start Page
121
End Page
131
ISSN
0475-0071
NCID
AA10699856
Content Type
Departmental Bulletin Paper
OAI-PMH Set
岡山大学
language
英語
File Version
publisher
NAID
Eprints Journal Name
mfe