Weak efficiency in multiobjective variational problems under generalized convexity

Authors:
M. Arana-Jiménez;G. Ruiz-Garzón;A. Rufián-Lizana;R. Osuna-Gómez
Affiliations:
Departamento de Estadística e I.O., Facultad de CCSS y de la Comunicación, Universidad de Cádiz, Jerez de la Frontera, Spain 11402;Departamento de Estadística e I.O., Facultad de CCSS y de la Comunicación, Universidad de Cádiz, Jerez de la Frontera, Spain 11402;Departamento de Estadística e I.O., Facultad de Matemáticas, Universidad de Sevilla, Seville, Spain;Departamento de Estadística e I.O., Facultad de Matemáticas, Universidad de Sevilla, Seville, Spain
Venue:
Journal of Global Optimization
Year:
2012

Citing 5
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Abstract

In this paper, we provide new pseudoinvexity conditions on the involved functionals of a multiobjective variational problem, such that all vector Kuhn-Tucker or Fritz John points are weakly efficient solutions if and only if these conditions are fulfilled. We relate weakly efficient solutions to optimal solutions of weighting problems. We improve recent papers, and we generalize pseudoinvexity conditions used in multiobjective mathematical programming, so as some of their characterization results. The new conditions and results are illustrated with an example.