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Stability of minimizers of set optimization problems

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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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Acknowledgments

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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Correspondence to Michel H. Geoffroy.

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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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