ON EFFICIENCY AND DUALITY FOR A CLASS OF NONCONVEX NONDIFFERENTIABLE MULTIOBJECTIVE FRACTIONAL VARIATIONAL CONTROL PROBLEMS

被引：2
|
作者：
Antczak, Tadeusz [1 ]
Arana-Jimenez, Manuel [2 ]
Treanta, Savin [3 ]
机构：
[1] Univ Lodz, Fac Math & Comp Sci, Banacha 22, PL-90238 Lodz, Poland
[2] Univ Cadiz, Fac SSCC & Commun, Dept Stat & Operat Res, Cadiz, Spain
[3] Univ Politehn Bucuresti, Dept Appl Math, Bucharest, Romania
来源：
OPUSCULA MATHEMATICA | 2023年 / 43卷 / 03期
关键词：
nondifferentiable multiobjective fractional variational control problem; efficient solution; optimality conditions; (generalized) univexity; Mond-Weir duality; Wolfe duality; OPTIMALITY CONDITIONS; (F;
D O I：
10.7494/OpMath.2023.43.3.335
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：335 / 391
页数：57
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