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 documento: | artigo |
| Data de publicação: | 2022 |
| País: | España |
| Recursos: | Universidad Nacional de Educación a Distancia |
| Repositório: | e-spacio. Repositorio Institucional de la UNED |
| Idioma: | inglês |
| OAI Identifier: | oai:e-spacio.uned.es:20.500.14468/12545 |
| Acesso em linha: | https://hdl.handle.net/20.500.14468/12545 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Set optimization Set criterion of solution Vector criterion of solution Henig proper efficiency Lagrange multipliers |
| Resumo: | 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. |
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