A generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentials
In this work, interval-valued optimization problems are considered. Ordering cone is used in order to obtain a generalization of interval-valued optimization problems on real topological vector spaces. Some definitions and their properties are obtained for intervals, defined according to ordering c...
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| Format: | Article |
| Language: | English |
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Elsevier
2021-04-01
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| Series: | Kuwait Journal of Science |
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| Online Access: | https://journalskuwait.org/kjs/index.php/KJS/article/view/8594 |
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| author | Emrah KARAMAN |
| author_facet | Emrah KARAMAN |
| author_sort | Emrah KARAMAN |
| collection | DOAJ |
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In this work, interval-valued optimization problems are considered. Ordering cone is used in order to obtain a generalization of interval-valued optimization problems on real topological vector spaces. Some definitions and their properties are obtained for intervals, defined according to ordering cone. The Gerstewitz’s function is used to derive scalarization for interval-valued optimization problems. Also, two subdifferentials of interval-valued functions are given by using subgradients. Some important optimality conditions are introduced via subdifferentials. An example is given to demonstrate results.
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| format | Article |
| id | doaj-art-54199ad4fbbb46f8bfd5b3b2a6edae8a |
| institution | OA Journals |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2021-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-54199ad4fbbb46f8bfd5b3b2a6edae8a2025-08-20T02:03:36ZengElsevierKuwait Journal of Science2307-41082307-41162021-04-0148210.48129/kjs.v48i2.8594A generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentialsEmrah KARAMAN0Dept. of Mathematics, Karabük University, Faculty of Science, Karabük, Turkey In this work, interval-valued optimization problems are considered. Ordering cone is used in order to obtain a generalization of interval-valued optimization problems on real topological vector spaces. Some definitions and their properties are obtained for intervals, defined according to ordering cone. The Gerstewitz’s function is used to derive scalarization for interval-valued optimization problems. Also, two subdifferentials of interval-valued functions are given by using subgradients. Some important optimality conditions are introduced via subdifferentials. An example is given to demonstrate results. https://journalskuwait.org/kjs/index.php/KJS/article/view/8594Interval-valued optimization problemordering coneoptimality conditionscalarizationsubdifferential |
| spellingShingle | Emrah KARAMAN A generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentials Kuwait Journal of Science Interval-valued optimization problem ordering cone optimality condition scalarization subdifferential |
| title | A generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentials |
| title_full | A generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentials |
| title_fullStr | A generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentials |
| title_full_unstemmed | A generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentials |
| title_short | A generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentials |
| title_sort | generalization of interval valued optimization problems and optimality conditions by using scalarization and subdifferentials |
| topic | Interval-valued optimization problem ordering cone optimality condition scalarization subdifferential |
| url | https://journalskuwait.org/kjs/index.php/KJS/article/view/8594 |
| work_keys_str_mv | AT emrahkaraman ageneralizationofintervalvaluedoptimizationproblemsandoptimalityconditionsbyusingscalarizationandsubdifferentials AT emrahkaraman generalizationofintervalvaluedoptimizationproblemsandoptimalityconditionsbyusingscalarizationandsubdifferentials |