GENERALIZED ε-EFFICIENCY CONDITIONS AND SECOND ORDER B-(b, ρ, η, θ, \tilde{p}, \tilde{r})-INVEXITIES IN MINIMAX FRACTIONAL PROGRAMMING PROBLEMS

Abstract

This communication deals with investigating the results on ε-efficiency conditionsbased on generalized second order B-(b, ρ, η, θ, \tilde{p}, \tilde{r})-invexities-a major generalization to Antczak type first order B-(b, \tilde{p}, \tilde{r})-invexities, which encompass most of the existing generalizedinvexity concepts in the literature. Then using these developing notions, a wide rangeof parametric sucient efficiency conditions for multiobjective fractional programming areestablished. To the best of our knowledge, the obtained results seem to be most advanced on generalized invexities at the present time, while offer more challenging applications to other fields.