Abstract
We prove that the notion of Tykhonov well-posed problems is stable under the operation of inf-convolution. We deal with lower semicontinuous functions (not necessarily convex) defined on a metric magma. Several applications are given, in particular to the study of the map \(\arg \min \).
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The author would like to thank the anonymous referees for their helpful comments involving the following version of the article.
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Communicated by Julian P. Revalski.
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Bachir, M. Well Posedness and Inf-Convolution. J Optim Theory Appl 177, 271–290 (2018). https://doi.org/10.1007/s10957-018-1286-5
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DOI: https://doi.org/10.1007/s10957-018-1286-5