Artículo
Some relations between Minty variational-like inequality problems and vectorial optimization problems in Banach spaces
Autor/es | Ruiz Garzón, Gabriel
Batista dos Santos, Lucelina Rufián Lizana, Antonio Arana Jiménez, Manuel |
Departamento | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Fecha de publicación | 2010 |
Fecha de depósito | 2022-10-28 |
Publicado en |
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Resumen | This paper is devoted to the study of relationships between solutions of Stampacchia
and Minty vector variational-like inequalities, weak and strong Pareto solutions of vector
optimization problems and vector critical ... This paper is devoted to the study of relationships between solutions of Stampacchia and Minty vector variational-like inequalities, weak and strong Pareto solutions of vector optimization problems and vector critical points in Banach spaces under pseudo-invexity and pseudo-monotonicity hypotheses. We have extended the results given by Gang and Liu (2008) [22] to Banach spaces and the relationships obtained for weak efficient points in Santos et al. (2008) [21] are completed and enabled to relate vector critical points, weak efficient points, solutions of the Minty and Stampacchia weak vector variationallike inequalities problems and solutions of perturbed vector variational-like inequalities problems. |
Cita | Ruiz Garzón, G., Batista dos Santos, L., Rufián Lizana, A. y Arana Jiménez, M. (2010). Some relations between Minty variational-like inequality problems and vectorial optimization problems in Banach spaces. Computers and Mathematics with Applications, 60, 2679-2688. https://doi.org/10.1016/j.camwa.2010.09.012. |
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