We establish weak, strong, and converse duality results for weakly efficient solutions in vector or multiobjective variational problems, which extend and improve recent papers. For this purpose, we consider Kuhn–Tucker optimality conditions, weighting variational problems, and some classes of generalized convex functions, recently introduced, which are extended in this work. Furthermore, a related open question is discussed.
Variational problem Duality Pseudoinvexity Weakly efficient solution Critical point
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This work was partially supported by Ministerio de Economía y Competitividad, under grants MTM2010-15383 and MTM2010-16401 with the participation of FEDER, and Consejería de Educación y Ciencia de la Junta de Andalucía, research groups FQM-243 and FQM-315.
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