Abstract
The present work is devoted to studying the stability of a parametric set optimization problem. In particular, based on the partial order relation on the family of nonempty bounded sets defined by Karaman et al. (Positivity 22(3):783–802, 2018), we give some sufficient conditions for the upper semicontinuity, lower semicontinuity, and closedness of the solution mapping to a parametric set optimization problem.
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The authors thank the anonymous referees for their valuable comments.
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This research was supported by Thailand Research Fund MRG6080242.
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Preechasilp, P., Wangkeeree, R. A note on semicontinuity of the solution mapping for parametric set optimization problems. Optim Lett 13, 1085–1094 (2019). https://doi.org/10.1007/s11590-018-1363-6
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DOI: https://doi.org/10.1007/s11590-018-1363-6