Integration of Primal Lower Nice Functions in Hilbert Spaces |
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| Authors: | F Bernard L Thibault D Zagrodny |
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| Institution: | (1) Département de Mathématiques, Université Montpellier II, Montpellier, France;(2) Département de Mathématiques, Université Montpellier II, Montpellier, France;(3) Department of Mathematics, Cardinal Stefan Wiszynski University, Warsaw, Poland |
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| 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
around x entails that, for any   ]0; , f – g is  - Lipschitz continuous on an appropriate neighborhood of x. |
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| Keywords: | Primal lower nice functions Moreau envelopes proximal mappings subdifferentials |
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