Integration of Primal Lower Nice Functions in Hilbert Spaces

F. Bernard, L. Thibault and D. Zagrodny
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F. Bernard: Université Montpellier II
L. Thibault: Université Montpellier II
D. Zagrodny: Cardinal Stefan Wiszynski University

Journal of Optimization Theory and Applications, 2005, vol. 124, issue 3, No 2, 579 pages

Abstract: 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.

Keywords: Primal lower nice functions; Moreau envelopes; proximal mappings; subdifferentials (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-004-1174-z

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