Higher order mixed type duality in nonsmooth multiobjective fractional programming involving generalized univex function

摘要

In this chapter, a new generalized class of higher order (F, α, ρ, d)-type 1 univex function is introduced with examples. KKT necessary and sufficient conditions for efficient solution for fractional programming with higher order (F, α, ρ, d)-type 1 univex function are established. Higher order mixed type duality for nonsmooth multiobjective fractional programming (MFP) is formulated and using the generalized higher order (F, α, ρ, d)-type 1 univexity assumption in the functions involved, the duality results are established. At the end, some special cases are discussed.