Optimality criteria for a class of generalized fractional programming under nonsmooth(F,ρ,θ)-d-univexity

Combining the definition of F-convexity,η-invexity and d-univexity,the definition of nonsmooth(F,ρ,θ)-d-univexity was introduced.The Kuhn-Tucker type necessary optimality conditions were given for a class of generalized fractional programming of minimizing a local Lipschitz function subject to a set of differentiable nonlinear inequalities on a convex subset C of R,under the generalized Kuhn-Tucker constraint qualification or the generalized Arrow-Hurwicz-Uzawa constraint qualification.Finally,the sufficient optimality condition were proposed under nonsmooth(F,ρ,θ)-d-univexity.