Weak Sharp Minima in Set-Valued Optimization Problems
We introduce the notion of a weak ψ-sharp minimizer for set-valued optimization problems. We present some sufficient and necessary conditions that a pair point is a weak ψ-sharp minimizer through the outer limit of set-valued map and develop the characterization of the weak ψ-sharp minimizer in term...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/935673 |
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| _version_ | 1832548565241561088 |
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| author | Ming-hao Jin Jun-xiang Wang Shu Xu |
| author_facet | Ming-hao Jin Jun-xiang Wang Shu Xu |
| author_sort | Ming-hao Jin |
| collection | DOAJ |
| description | We introduce the notion of a weak ψ-sharp minimizer for set-valued optimization problems. We present some sufficient and necessary conditions that a pair point is a weak ψ-sharp minimizer through the outer limit of set-valued map and develop the characterization of the weak ψ-sharp minimizer in terms of a generalized nonlinear scalarization function. These results extend the corresponding ones in Studniarski (2007). |
| format | Article |
| id | doaj-art-b44879afb1bd41418cb1583f89b5bb3a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b44879afb1bd41418cb1583f89b5bb3a2025-02-03T06:13:52ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/935673935673Weak Sharp Minima in Set-Valued Optimization ProblemsMing-hao Jin0Jun-xiang Wang1Shu Xu2Department of Mathematics, Heilongjiang Institute of Technology, Harbin 150050, ChinaOffice of Academic Affairs, Heilongjiang Institute of Technology, Haerbin 150050, ChinaRear Services Office, Chongqing Police College, Chongqing 401331, ChinaWe introduce the notion of a weak ψ-sharp minimizer for set-valued optimization problems. We present some sufficient and necessary conditions that a pair point is a weak ψ-sharp minimizer through the outer limit of set-valued map and develop the characterization of the weak ψ-sharp minimizer in terms of a generalized nonlinear scalarization function. These results extend the corresponding ones in Studniarski (2007).http://dx.doi.org/10.1155/2012/935673 |
| spellingShingle | Ming-hao Jin Jun-xiang Wang Shu Xu Weak Sharp Minima in Set-Valued Optimization Problems Abstract and Applied Analysis |
| title | Weak Sharp Minima in Set-Valued Optimization Problems |
| title_full | Weak Sharp Minima in Set-Valued Optimization Problems |
| title_fullStr | Weak Sharp Minima in Set-Valued Optimization Problems |
| title_full_unstemmed | Weak Sharp Minima in Set-Valued Optimization Problems |
| title_short | Weak Sharp Minima in Set-Valued Optimization Problems |
| title_sort | weak sharp minima in set valued optimization problems |
| url | http://dx.doi.org/10.1155/2012/935673 |
| work_keys_str_mv | AT minghaojin weaksharpminimainsetvaluedoptimizationproblems AT junxiangwang weaksharpminimainsetvaluedoptimizationproblems AT shuxu weaksharpminimainsetvaluedoptimizationproblems |