Conjugate dual problems in constrained set-valued optimization and applications
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.
Year of publication: |
2009
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Authors: | Li, S.J. ; Chen, C.R. ; Wu, S.Y. |
Published in: |
European Journal of Operational Research. - Elsevier, ISSN 0377-2217. - Vol. 196.2009, 1, p. 21-32
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Publisher: |
Elsevier |
Keywords: | Conjugate duality Set-valued optimization Strong duality Stability criteria Variational principles |
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