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Subdifferential Stability and Subdifferential Sum Rules

  • Marc LassondeEmail author
Article
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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.

Keywords

Lower semicontinuity Wijsman convergence Slope Subdifferential calculus Trustworthiness 

Mathematics Subject Classification (2010)

49J52 49J53 49J45 26E15 

Notes

Acknowledgments

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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Copyright information

© Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.LIMOSClermont-FerrandFrance

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