Geodesic
Nondifferentiable Generalized Minimax Fractional Programming Under $(\Phi, \rho)$-Invexity
Yugoslav journal of operations research, Tome 32 (2022) no. 1, p. 3 .

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In this paper, a class of nonconvex nondifferentiable generalized minimax fractional programming problems is considered. Sufficient optimality conditions for the considered nondifferentiable generalized minimax fractional programming problem are established under the concept of $(\Phi, \rho)$-invexity. Further, two types of dual models are formulated and various duality theorems relating to the primal minimax fractional programming problem and dual problems are established. The results established in the paper generalize and extend several known results in the literature to a wider class of nondifferentiable minimax fractional programming problems. To the best of our knowledge, these results have not been established till now.
Classification : 90C26, 90C32, 49K35
Keywords: Nondifferentiable Minimax Fractional Problem, Duality, $(\Phi, \rho)$-invexity, Sufficient Conditions. 
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     author = {B.B. Upadhyay and T. Antczak and S.K. Mishra and K. Shukla},
     title = {Nondifferentiable {Generalized} {Minimax} {Fractional} {Programming} {Under} $(\Phi, \rho)${-Invexity}},
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     year = {2022},
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B.B. Upadhyay; T. Antczak; S.K. Mishra; K. Shukla. Nondifferentiable Generalized Minimax Fractional Programming Under $(\Phi, \rho)$-Invexity. Yugoslav journal of operations research, Tome 32 (2022) no. 1, p. 3 . http://geodesic.mathdoc.fr/item/YJOR_2022_32_1_a0/