Jayswal, Anurag; Singh, Vivek; Kummari, Krishna Duality for nondifferentiable minimax fractional programming problem involving higher order \((C,\alpha, \rho, d)\)-convexity. (English) Zbl 1397.90395 Opsearch 54, No. 3, 598-617 (2017). Summary: In this paper, we present new class of higher-order \((C, \alpha , \rho , d)\)-convexity and formulate two types of higher-order duality for a nondifferentiable minimax fractional programming problem. Based on the higher-order \((C, \alpha , \rho , d)\)-convexity, we establish appropriate higher-order duality results. These results extend several known results to a wider class of programs. MSC: 90C46 Optimality conditions and duality in mathematical programming 90C29 Multi-objective and goal programming 49J52 Nonsmooth analysis Keywords:minimax fractional programming problem; nondifferentiable programming; higher-order duality; higher-order (\(C, \alpha , \rho , d\))-convexity PDF BibTeX XML Cite \textit{A. 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