Abstract
We study the asymptotic behavior of sequences of minimization problems in set optimization. More precisely, considering a sequence of set optimization problems \((P_n)\) converging in some sense to a set optimization problem (P) we investigate the upper and lower convergences of the sets of minimizers of the problems \((P_n)\) to the set of minimizers of the problem (P).
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We would like to thank the anonymous referee for his/her careful reading of our manuscript and for providing highly valuable and accurate comments.
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This author was partially supported by the Bulgarian National Scientific Fund, Grant DFNI-I02/10.
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Gaydu, M., Geoffroy, M.H., Jean-Alexis, C. et al. Stability of minimizers of set optimization problems. Positivity 21, 127–141 (2017). https://doi.org/10.1007/s11117-016-0412-6
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DOI: https://doi.org/10.1007/s11117-016-0412-6
Keywords
- Variational convergence
- \(\Gamma \)-convergence
- Relative minimizer
- Vector optimization
- Set-valued optimization