Geodesic
Sufficiency and Duality of Set-Valued Fractional Programming Problems via Second-Order Contingent Epiderivative
Yugoslav journal of operations research, Tome 32 (2022) no. 2, p. 167 .

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In this paper, we establish second-order sufficient KKT optimality conditions of a set-valued fractional programming problem under second-order generalized cone convexity assumptions. We also prove duality results between the primal problem and second-order dual problems of parametric, Mond-Weir, Wolfe, and mixed types via the notion of second-order contingent epiderivative.
Classification : 26B25, 49N15
Keywords: Convex Cone, Set-Calued Map, Contingent Epiderivative, Duality 
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     author = {Koushik Das},
     title = {Sufficiency and {Duality} of {Set-Valued} {Fractional} {Programming} {Problems} via {Second-Order} {Contingent} {Epiderivative}},
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Koushik Das. Sufficiency and Duality of Set-Valued Fractional Programming Problems via Second-Order Contingent Epiderivative. Yugoslav journal of operations research, Tome 32 (2022) no. 2, p. 167 . http://geodesic.mathdoc.fr/item/YJOR_2022_32_2_a2/