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Lagrange multiplier rules for approximate solutions in vector optimization

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  • In Asplund space, Lagrange multiplier rules for approximate solutions of nonsmooth vector optimization problems are studied. The relationships between the vector and the scalar optimization problems are established. And the optimality conditions of approximate solutions for vector optimization are obtained. Moreover, the vector variational inequalities are considered by applying the partial results given in this paper.
    Mathematics Subject Classification: Primary: 90C29, 49J52, 90C46.

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