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

• Autorzy: Antczak Tadeusz , Arana-Jimenéz Manuel , Treanţă Savin

Identyfikatory

DOI

10.7494/OpMath.2023.43.3.335

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

nondifferentiable multiobjective fractional variational control problem; efficient solution; optimality conditions; generalized univexity; Mond-Weir duality; Wolfe duality

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2023
• Tom: Vol. 43, no. 3
• Strony: 335--391
• Opis fizyczny: Bibliogr. 42 poz.

Twórcy

autor

Antczak Tadeusz

• Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland

• https://orcid.org/0000-0002-2218-7668

autor

Arana-Jimenéz Manuel

• Department of Statistics and Operational Research, Faculty of SSCC and Communication, University of Cádiz, Cádiz, Spain

• https://orcid.org/0000-0002-0290-6477

autor

Treanţă Savin

• Department of Applied Mathematics, University “Politehnica” of Bucharest, Bucharest, Romania

• https://orcid.org/0000-0001-8209-3869

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)