Abstract
In the first part, we discuss the stability of the strong slope and of the subdifferential of a lower semicontinuous function with respect to Wijsman perturbations of the function, i.e., perturbations described via Wijsman convergence. In the second part, we show how subdifferential sum rules can be viewed as special cases of subdifferential stability results.
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The author gratefully acknowledges the anonymous referees for their relevant comments which allowed an improvement of the presentation of the paper.
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Dedicated to Alex Ioffe on the occasion of his 80th birthday.
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Lassonde, M. Subdifferential Stability and Subdifferential Sum Rules. Vietnam J. Math. 47, 715–731 (2019). https://doi.org/10.1007/s10013-019-00354-6
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DOI: https://doi.org/10.1007/s10013-019-00354-6