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A necessary and sufficient condition for duality in multiobjective variational problems

Author

Listed:
  • Arana-Jiménez, M.
  • Ruiz-Garzón, G.
  • Rufián-Lizana, A.
  • Osuna-Gómez, R.

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.

Suggested Citation

  • Arana-Jiménez, M. & Ruiz-Garzón, G. & Rufián-Lizana, A. & Osuna-Gómez, R., 2010. "A necessary and sufficient condition for duality in multiobjective variational problems," European Journal of Operational Research, Elsevier, vol. 201(3), pages 672-681, March.
    • Handle: RePEc:eee:ejores:v:201:y:2010:i:3:p:672-681
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    Cited by:

    1. Savin Treanţă, 2021. "On a Dual Pair of Multiobjective Interval-Valued Variational Control Problems," Mathematics, MDPI, vol. 9(8), pages 1-11, April.
    2. Jayswal, Anurag & Singh, Shipra & Kurdi, Alia, 2016. "Multitime multiobjective variational problems and vector variational-like inequalities," European Journal of Operational Research, Elsevier, vol. 254(3), pages 739-745.

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