New Notions of Proper Efficiency in Set Optimization with the Set Criterion
In this paper, we introduce new notions of proper efficiency in the sense of Henig for a set optimization problem by using the set criterion of solution. The relationships between them are studied. Also, we compare these concepts with the homologous ones given by considering the vector criterion. Fi...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad Nacional de Educación a Distancia |
| Repositorio: | e-spacio. Repositorio Institucional de la UNED |
| Idioma: | inglés |
| OAI Identifier: | oai:e-spacio.uned.es:20.500.14468/12545 |
| Acceso en línea: | https://hdl.handle.net/20.500.14468/12545 |
| Access Level: | acceso abierto |
| Palabra clave: | Set optimization Set criterion of solution Vector criterion of solution Henig proper efficiency Lagrange multipliers |
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oai:e-spacio.uned.es:20.500.14468/12545 |
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España |
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New Notions of Proper Efficiency in Set Optimization with the Set Criterion Jiménez, B. Novo, V. Huerga Pastor, Lidia Set optimization Set criterion of solution Vector criterion of solution Henig proper efficiency Lagrange multipliers In this paper, we introduce new notions of proper efficiency in the sense of Henig for a set optimization problem by using the set criterion of solution. The relationships between them are studied. Also, we compare these concepts with the homologous ones given by considering the vector criterion. Finally, a Lagrange multiplier rule for Henig proper solutions of a set optimization problem with a cone constraint is obtained under convexity hypotheses. Illustrative examples are also given. Springer Nature https://hdl.handle.net/20.500.14468/12545 |
| title |
New Notions of Proper Efficiency in Set Optimization with the Set Criterion |
| spellingShingle |
New Notions of Proper Efficiency in Set Optimization with the Set Criterion Jiménez, B. Set optimization Set criterion of solution Vector criterion of solution Henig proper efficiency Lagrange multipliers |
| title_short |
New Notions of Proper Efficiency in Set Optimization with the Set Criterion |
| title_full |
New Notions of Proper Efficiency in Set Optimization with the Set Criterion |
| title_fullStr |
New Notions of Proper Efficiency in Set Optimization with the Set Criterion |
| title_full_unstemmed |
New Notions of Proper Efficiency in Set Optimization with the Set Criterion |
| title_sort |
New Notions of Proper Efficiency in Set Optimization with the Set Criterion |
| author |
Jiménez, B. |
| author_facet |
Jiménez, B. Novo, V. Huerga Pastor, Lidia |
| author_role |
author |
| author2 |
Novo, V. Huerga Pastor, Lidia |
| author2_role |
author author |
| topic |
Set optimization Set criterion of solution Vector criterion of solution Henig proper efficiency Lagrange multipliers |
| topic_facet |
Set optimization Set criterion of solution Vector criterion of solution Henig proper efficiency Lagrange multipliers |
| description |
In this paper, we introduce new notions of proper efficiency in the sense of Henig for a set optimization problem by using the set criterion of solution. The relationships between them are studied. Also, we compare these concepts with the homologous ones given by considering the vector criterion. Finally, a Lagrange multiplier rule for Henig proper solutions of a set optimization problem with a cone constraint is obtained under convexity hypotheses. Illustrative examples are also given. |
| publishDate |
2022 |
| format |
article |
| url |
https://hdl.handle.net/20.500.14468/12545 |
| language |
eng |
| eu_rights_str_mv |
openAccess |
| publisher |
Springer Nature |
| institution |
Universidad Nacional de Educación a Distancia |
| collection |
e-spacio. Repositorio Institucional de la UNED |
| reponame_str |
e-spacio. Repositorio Institucional de la UNED |
| instname_str |
Universidad Nacional de Educación a Distancia |
| _version_ |
1878440007286390785 |
| publishDateSort |
2022 |
| author_browse |
Huerga Pastor, Lidia Jiménez, B. Novo, V. |
| publisherStr |
Springer Nature |
| score |
6,9303427 |