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Duality Theorems for ( ρ , ψ , d )-Quasiinvex Multiobjective Optimization Problems with Interval-Valued Components

Author

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  • Savin Treanţă

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

Abstract

The present paper deals with a duality study associated with a new class of multiobjective optimization problems that include the interval-valued components of the ratio vector. More precisely, by using the new notion of ( ρ , ψ , d ) -quasiinvexity associated with an interval-valued multiple-integral functional, we formulate and prove weak, strong, and converse duality results for the considered class of variational control problems.

Suggested Citation

  • Savin Treanţă, 2021. "Duality Theorems for ( ρ , ψ , d )-Quasiinvex Multiobjective Optimization Problems with Interval-Valued Components," Mathematics, MDPI, vol. 9(8), pages 1-12, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:8:p:894-:d:538075
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    References listed on IDEAS

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    1. Tadeusz Antczak, 2014. "On efficiency and mixed duality for a new class of nonconvex multiobjective variational control problems," Journal of Global Optimization, Springer, vol. 59(4), pages 757-785, August.
    2. 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.
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    Citations

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    Cited by:

    1. Savin Treanţă & Priyanka Mishra & Balendu Bhooshan Upadhyay, 2022. "Minty Variational Principle for Nonsmooth Interval-Valued Vector Optimization Problems on Hadamard Manifolds," Mathematics, MDPI, vol. 10(3), pages 1-15, February.
    2. Savin Treanţă, 2021. "Second-Order PDE Constrained Controlled Optimization Problems with Application in Mechanics," Mathematics, MDPI, vol. 9(13), pages 1-7, June.

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