Conjugate dual problems in constrained set-valued optimization and applications |
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| Authors: | SJ Li CR Chen SY Wu |
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| Institution: | 1. College of Mathematics and Science, Chongqing University, Chongqing 400044, China;2. Institute of Applied Mathematics, National Cheng-Kung University, Tainan 700, Taiwan;3. National Center for Theoretical Sciences (South), Mathematics Division, Tainan 701, Taiwan |
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| 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. |
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| Keywords: | Conjugate duality Set-valued optimization Strong duality Stability criteria Variational principles |
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