ON EFFICIENCY AND DUALITY FOR A CLASS OF NONCONVEX NONDIFFERENTIABLE MULTIOBJECTIVE FRACTIONAL VARIATIONAL CONTROL PROBLEMS
Identificadores
URI: http://hdl.handle.net/10498/31798
DOI: 10.7494/OPMATH.2023.43.3.335
ISSN: 2300-6919
ISSN: 1232-9274
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2023Department
Estadística e Investigación OperativaSource
Opuscula Mathematica - 2023, Vol. 43 n. 3 pp. 335-391Abstract
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.
Subjects
nondifferentiable multiobjective fractional variational control problem; efficient solution; optimality conditions; (generalized) univexity; Mond–Weir duality; Wolfe dualityCollections
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