New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems
In this paper, we introduce the concept of a generalized second-order composed contingent epiderivative for set-valued maps and discuss its relationship to the generalized second-order contingent epiderivative. We also investigate some of its properties. Then, by virtue of the generalized second-ord...
| Main Authors: | , , |
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| Format: | Journal Article |
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Springer Netherlands
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/19235 |
| _version_ | 1848749974993502208 |
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| author | Li, S Zhu, S Teo, Kok Lay |
| author_facet | Li, S Zhu, S Teo, Kok Lay |
| author_sort | Li, S |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we introduce the concept of a generalized second-order composed contingent epiderivative for set-valued maps and discuss its relationship to the generalized second-order contingent epiderivative. We also investigate some of its properties. Then, by virtue of the generalized second-order composed contingent epiderivative, we establish a unified second-order sufficient and necessary optimality condition for set-valued optimization problems, which is a generalization of the corresponding results in the literature. |
| first_indexed | 2025-11-14T07:29:28Z |
| format | Journal Article |
| id | curtin-20.500.11937-19235 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:29:28Z |
| publishDate | 2012 |
| publisher | Springer Netherlands |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-192352017-09-13T15:58:57Z New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems Li, S Zhu, S Teo, Kok Lay Set-valued optimization Optimality conditions Generalized second-order composed - contingent epiderivative In this paper, we introduce the concept of a generalized second-order composed contingent epiderivative for set-valued maps and discuss its relationship to the generalized second-order contingent epiderivative. We also investigate some of its properties. Then, by virtue of the generalized second-order composed contingent epiderivative, we establish a unified second-order sufficient and necessary optimality condition for set-valued optimization problems, which is a generalization of the corresponding results in the literature. 2012 Journal Article http://hdl.handle.net/20.500.11937/19235 10.1007/s10957-011-9915-2 Springer Netherlands restricted |
| spellingShingle | Set-valued optimization Optimality conditions Generalized second-order composed - contingent epiderivative Li, S Zhu, S Teo, Kok Lay New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems |
| title | New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems |
| title_full | New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems |
| title_fullStr | New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems |
| title_full_unstemmed | New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems |
| title_short | New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems |
| title_sort | new generalized second-order contingent epiderivatives and set-valued optimization problems |
| topic | Set-valued optimization Optimality conditions Generalized second-order composed - contingent epiderivative |
| url | http://hdl.handle.net/20.500.11937/19235 |