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On a Dual Pair of Multiobjective Interval-Valued Variational Control Problems

Author

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  • Savin Treanţă

    (Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania)

Abstract

In this paper, by using the new concept of ( ϱ , ψ , ω ) -quasiinvexity associated with interval-valued path-independent curvilinear integral functionals, we establish some duality results for a new class of multiobjective variational control problems with interval-valued components. More concretely, we formulate and prove weak, strong, and converse duality theorems under ( ϱ , ψ , ω ) -quasiinvexity hypotheses for the considered class of optimization problems.

Suggested Citation

  • Savin Treanţă, 2021. "On a Dual Pair of Multiobjective Interval-Valued Variational Control Problems," Mathematics, MDPI, vol. 9(8), pages 1-11, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:8:p:893-:d:538038
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    References listed on IDEAS

    as
    1. Khadija Khazafi & Norma Rueda & Per Enflo, 2010. "Sufficiency and duality for multiobjective control problems under generalized (B, ρ)-type I functions," Journal of Global Optimization, Springer, vol. 46(1), pages 111-132, January.
    2. 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.
    Full references (including those not matched with items on IDEAS)

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