Higher-order (F,α, β, ρ d)-Convexity and its Application in Fractional Programming.

In this paper we introduce the concept of higher-order (F, α, β ρ, d)-convexity with respect to a differentiable function K. Based on this generalized convexity, sufficient optimality conditions for a nonlinear programming problem (NP) are obtained. Duality relations for Mond-Weir and Wolfe duals of (NP) have also been discussed. These duality results are then applied to nonlinear fractional programming problems. [ABSTRACT FROM AUTHOR]