Abstract:

A new concept of secondorder generalized (F,α,ρ,θ)-d-Ⅴ-Ⅰ type univexity was introduced, a minimax fractional program ming problem (P) was considered, and a secondorder dual model of programming (P) was formulated. And weak duality strong duality and strict converse duality theorems were obtained on the basis of this secondorder generalized type Ⅰ univexity.

Key words:  , minimax programming； fractional programming； secondorder duality； generalized (F,&alpha, ,&rho, ,&theta, )-d-Ⅴ-Ⅰ type univexity