Duality and Weak Efficiency in Vector Variational Problems

M. Arana Jiménez () and F. Ortegón Gallego ()
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M. Arana Jiménez: University of Cádiz
F. Ortegón Gallego: University of Cádiz

Journal of Optimization Theory and Applications, 2013, vol. 159, issue 2, No 15, 547-553

Abstract: Abstract 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.

Keywords: Variational problem; Duality; Pseudoinvexity; Weakly efficient solution; Critical point (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-013-0333-5

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