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On linear vector optimization duality in infinite-dimensional spaces

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  • In this paper we extend to infinite-dimensional spaces a vector duality concept recently considered in the literature in connection to the classical vector minimization linear optimization problem in a finite-dimensional framework. Weak, strong and converse duality for the vector dual problem introduced with this respect are proven and we also investigate its connections to some classical vector duals considered in the same framework in the literature.
    Mathematics Subject Classification: Primary: 90C05; Secondary: 90C25, 90C29.


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