A necessary and sufficient condition for duality in multiobjective variational problems

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 c...

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Bibliographic Details
Published in:European journal of operational research 2010-03, Vol.201 (3), p.672-681
Main Authors: Arana-Jiménez, M., Ruiz-Garzón, G., Rufián-Lizana, A., Osuna-Gómez, R.
Format: Article
Language:English
Subjects:
Applied sciences
Decision theory. Utility theory
Efficiency
Exact sciences and technology
Mathematical functions
Multiobjective variational problem
Multiple objective programming
Multiple objective programming Nonlinear programming Multiobjective variational problem Pseudoinvexity Optimality condition
Nonlinear programming
Operational research and scientific management
Operational research. Management science
Optimality condition
Optimization techniques
Pseudoinvexity
Studies
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Summary: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.
ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2009.03.047