The Optimatily Conditions Of Multiobjective Programming And Multiobjective Fractional Programming

In this thesis, the optimatily conditions of multiobjective programming and multiobjective fractional programming are discussed. Firstly we make use of gradient of functional to discuss the K-T optimatily conditions of fractional programming in Banach space ,the results in paper [1] are generalized .Then we use subconvexlike and Gateaux differentiable to discuss multiobjective programming in ordered linear spaces., and get the optimatily conditions .Finally we use G ? ( F ,ρ) convexity and Clarke subgradient to discuss the weak generalized Lagrange saddle of multiobjective fractional programming in R n space , and get the sufficient and necessary conditions of weak generalized Lagrange saddle.