Opuscula Math. 43, no. 3 (2023), 335-391
https://doi.org/10.7494/OpMath.2023.43.3.335

 
Opuscula Mathematica

On efficiency and duality for a class of nonconvex nondifferentiable multiobjective fractional variational control problems

Tadeusz Antczak
Manuel Arana-Jimenéz
Savin Treanţă

Abstract. In this paper, we consider the class of nondifferentiable multiobjective fractional variational control problems involving the nondifferentiable terms in the numerators and in the denominators. Under univexity and generalized univexity hypotheses, we prove optimality conditions and various duality results for such nondifferentiable multiobjective fractional variational control problems. The results established in the paper generalize many similar results established earlier in the literature for such nondifferentiable multiobjective fractional variational control problems.

Keywords: nondifferentiable multiobjective fractional variational control problem, efficient solution, optimality conditions, (generalized) univexity, Mond-Weir duality, Wolfe duality.

Mathematics Subject Classification: 65K10, 90C32, 90C46, 90C30, 90C26.

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  • Communicated by Marek Galewski.
  • Received: 2021-12-03.
  • Revised: 2023-01-16.
  • Accepted: 2023-02-16.
  • Published online: 2023-05-17.
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Cite this article as:
Tadeusz Antczak, Manuel Arana-Jimenéz, Savin Treanţă, On efficiency and duality for a class of nonconvex nondifferentiable multiobjective fractional variational control problems, Opuscula Math. 43, no. 3 (2023), 335-391, https://doi.org/10.7494/OpMath.2023.43.3.335

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