Subdifferential Stability and Subdifferential Sum Rules
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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.
KeywordsLower semicontinuity Wijsman convergence Slope Subdifferential calculus Trustworthiness
Mathematics Subject Classification (2010)49J52 49J53 49J45 26E15
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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