GENERALIZED ρ-(η,θ)-INVEXITY AND KKT CONDITIONS FOR OPTIMALITY

Abstract

In this work, we introduce the notion of ρ-(η, θ)-invex function between Banach spaces. By using these functions, we obtain the Karush-Kuhn-Tucker (KKT) sufficient conditions for an optimization problem in a Banach space. A pair of duality results are also studied under the generalized ρ-(η, θ)-invexity assumptions on the functions involved.