|Higher - order optimality conditions in multiobjective oftimization
|PGS.TS Đỗ Văn Lưu
|Higher-order optimality conditions | Higher-order tangent cones | Local Pareto minimum
|In this paper we present higher-order necessary optimality conditions for local weak and Pareto minima of multiobjective optimization problems involving a cone constraint and a set constraint with n-times Gâteaux differentiable functions in terms of higher-order Gâteaux derivatives and higher-order tangent cones in infinite dimension. Higher-order sufficient optimality conditions are presented for strict local Pareto minima of order n in finite dimension together with some illustrative examples.
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