Continuous-time multiobjective optimization problems via invexity

Valeriano A. De Oliveira; Marko A. Rojas-Medar

doi:10.1155/2007/61296

Continuous-time multiobjective optimization problems via invexity

Valeriano A. De Oliveira
, Marko A. Rojas-Medar

Universidade Estadual de Campinas

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

14 Citas (Scopus)

Resumen

We introduce some concepts of generalized invexity for the continuous-time multiobjective programming problems, namely, the concepts of Karush-Kuhn-Tucker invexity and Karush-Kuhn-Tucker pseudoinvexity. Using the concept of Karush-Kuhn-Tucker invexity, we study the relationship of the multiobjective problems with some related scalar problems. Further, we show that Karush-Kuhn-Tucker pseudoinvexity is a necessary and suffcient condition for a vector Karush-Kuhn-Tucker solution to be a weakly efficient solution.

Idioma original	Inglés
Número de artículo	61296
Publicación	Abstract and Applied Analysis
Volumen	2007
DOI	https://doi.org/10.1155/2007/61296
Estado	Publicada - 2007
Publicado de forma externa	Sí

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abstract = "We introduce some concepts of generalized invexity for the continuous-time multiobjective programming problems, namely, the concepts of Karush-Kuhn-Tucker invexity and Karush-Kuhn-Tucker pseudoinvexity. Using the concept of Karush-Kuhn-Tucker invexity, we study the relationship of the multiobjective problems with some related scalar problems. Further, we show that Karush-Kuhn-Tucker pseudoinvexity is a necessary and suffcient condition for a vector Karush-Kuhn-Tucker solution to be a weakly efficient solution.",

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AB - We introduce some concepts of generalized invexity for the continuous-time multiobjective programming problems, namely, the concepts of Karush-Kuhn-Tucker invexity and Karush-Kuhn-Tucker pseudoinvexity. Using the concept of Karush-Kuhn-Tucker invexity, we study the relationship of the multiobjective problems with some related scalar problems. Further, we show that Karush-Kuhn-Tucker pseudoinvexity is a necessary and suffcient condition for a vector Karush-Kuhn-Tucker solution to be a weakly efficient solution.

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Continuous-time multiobjective optimization problems via invexity

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