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This article is concerned with optimality conditions and duality results for nondifferentiable multi-objective fractional programming problems.
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23 p.
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Abstract: In this paper, we are concerned with optimality conditions and duality results for nondifferentiable multiobjective fractional programming problems. Parametric necessary optimality conditions are established for such vector optimization problems in which each component of the involved functions is locally Lipschitz. Further, under the introduced concept of nondifferentiable (b;Ψ; Φ; ρ) -univexity, the parametric sufficient optimality conditions are established for a new class of nonconvex multiobjective fractional programming problems. Furthermore, for the considered multiobjective fractional programming problem, its parametric vector dual problem in the sense of Schaible is defined. Then several duality theorems are also established under (b;Ψ; Φ; ρ)-univexity hypotheses.
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Antczak, Tadeusz & Verma, Ram U.Parametric nondifferentiable multiobjective fractional programming under (b;Ψ; Φ; ρ)-univexity,
article,
September 27, 2018;
Ankara, Turkey.
(https://digital.library.unt.edu/ark:/67531/metadc1404229/:
accessed May 27, 2024),
University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu;
crediting UNT College of Science.