A necessary and sufficient condition for duality in multiobjective variational problems

M. Arana-Jiménez, G. Ruiz-Garzón, A. Rufián-Lizana and R. Osuna-Gómez

European Journal of Operational Research, 2010, vol. 201, issue 3, 672-681

Abstract: In this paper we move forward in the study of duality and efficiency in multiobjective variational problems. We introduce new classes of pseudoinvex functions, and prove that not only it is a sufficient condition to establish duality results, but it is also necessary. Moreover, these functions are characterized in order that all Kuhn-Tucker or Fritz John points are efficient solutions. Recent papers are improved. We provide an example to show this improvement and illustrate these classes of functions and results.

Keywords: Multiple; objective; programming; Nonlinear; programming; Multiobjective; variational; problem; Pseudoinvexity; Optimality; condition (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:201:y:2010:i:3:p:672-681

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