Abstract
In this paper, we obtain some integration results from subdifferential inclusions for primal lower nice functions by using the Moreau envelopes. A general result concerns an enlarged subdifferential inclusion. It says that, for g primal lower nice at x, the inclusion \(\partial f \subset g + \gamma \mathbb{B}\) around x entails that, for any γ′]0; γ[, f − g is γ′∈- Lipschitz continuous on an appropriate neighborhood of x.
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Bernard, F., Thibault, L. & Zagrodny, D. Integration of Primal Lower Nice Functions in Hilbert Spaces. J Optim Theory Appl 124, 561–579 (2005). https://doi.org/10.1007/s10957-004-1174-z
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DOI: https://doi.org/10.1007/s10957-004-1174-z