Conjugate dual problems in constrained set-valued optimization and applications

S.J. Li, C.R. Chen and S.Y. Wu

European Journal of Operational Research, 2009, vol. 196, issue 1, 21-32

Abstract: In this paper, two conjugate dual problems are proposed by considering the different perturbations to a set-valued vector optimization problem with explicit constraints. The weak duality, inclusion relations between the image sets of dual problems, strong duality and stability criteria are investigated. Some applications to so-called variational principles for a generalized vector equilibrium problem are shown.

Keywords: Conjugate; duality; Set-valued; optimization; Strong; duality; Stability; criteria; Variational; principles (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:196:y:2009:i:1:p:21-32

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