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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- Tadeusz Antczak (corresponding author)
https://orcid.org/0000-0002-2218-7668
- Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland
- Manuel Arana-Jimenéz
https://orcid.org/0000-0002-0290-6477
- Department of Statistics and Operational Research, Faculty of SSCC and Communication, University of Cádiz, Cádiz, Spain
- Savin Treanţă
https://orcid.org/0000-0001-8209-3869
- Department of Applied Mathematics, University "Politehnica" of Bucharest, Bucharest, Romania
- Communicated by Marek Galewski.
- Received: 2021-12-03.
- Revised: 2023-01-16.
- Accepted: 2023-02-16.
- Published online: 2023-05-17.