Higher order duality in multiobjective fractional programming problem with generalized convexity

Abstract

We have introduced higher order generalized hybrid B -(b,ρ,θ,˜ρ,˜r)-invex function. Then, we have estabilished higher order weak, strong and strict converse duality theorems for a multiobjective fractional programming problem with support function in the numerator of the objective function involving higher order generalized hybrid B -(b,ρ,θ,˜ρ,˜r)-invex functions. Our results extend and unify several results from the literature.

Keywords

• multiobjective fractional programming
• support function
• duality
• higher order B -(b,ρ,θ,˜ρ,˜r)-invex function