Optimality Conditions inDifferentiable Vector Optimization via Second-Order Tangent Sets

作者: Bienvenido Jim�nez , Vicente Novo

DOI: 10.1007/S00245-003-0782-6

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摘要: We provide second-order necessary and sufficient conditions for a point to be an efficient element of set with respect cone in normed space, so that there is only small gap between conditions. To this aim, we use the common tangent asymptotic utilized by Penot. As application establish solution vector optimization problem arbitrary feasible twice Frechet differentiable objective function two spaces. also when initial space finite-dimensional no Lagrange multiplier rules are given.

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