Duality

Johannes Jahn ()
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Johannes Jahn: Universität Erlangen-Nürnberg

Chapter Chapter 8 in Vector Optimization, 2011, pp 189-207 from Springer

Abstract: Abstract It is well-known from scalar optimization that, under appropriateassumptions, a maximization problem can beassociated to a given minimization problem so that both problems have the same optimal values. Such a duality between a minimization and a maximization problem can also be formulated in vector optimization. In the first section we present a general duality principle for vector optimization problems. The following sections are devoted to a duality theory for abstract optimization problems. A generalization of the duality results known from linear programming is also given.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-17005-8_8

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DOI: 10.1007/978-3-642-17005-8_8

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