Copy For Citation
Karaman E., Atasever Güvenç İ., SOYERTEM M.
Optimization, vol.70, no.3, pp.613-630, 2021 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
70
Issue:
3
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Publication Date:
2021
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Doi Number:
10.1080/02331934.2020.1728270
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Journal Name:
Optimization
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, ABI/INFORM, Aerospace Database, Applied Science & Technology Source, Computer & Applied Sciences, MathSciNet, zbMATH
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Page Numbers:
pp.613-630
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Keywords:
80M50, 90C26, existence theorem, optimality condition, Set-valued optimization, subdifferential
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Uşak University Affiliated:
Yes
Abstract
In this study, set-valued optimization problems are considered with respect to (Formula presented.) -order relation, which is a partial order relation on the family of nonempty and bounded sets. Four subdifferentials are defined for set-valued optimization maps. Some existence theorems and relations among these subdifferentials are obtained. By using them, necessary and sufficient optimality conditions are presented for set-valued optimization problems with respect to (Formula presented.) -order relation.