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Integration of Primal Lower Nice Functions in Hilbert Spaces

Author

Listed:
  • F. Bernard

    (Université Montpellier II)

  • L. Thibault

    (Université Montpellier II)

  • D. Zagrodny

    (Cardinal Stefan Wiszynski University)

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.

Suggested Citation

  • F. Bernard & L. Thibault & D. Zagrodny, 2005. "Integration of Primal Lower Nice Functions in Hilbert Spaces," Journal of Optimization Theory and Applications, Springer, vol. 124(3), pages 561-579, March.
    • Handle: RePEc:spr:joptap:v:124:y:2005:i:3:d:10.1007_s10957-004-1174-z
    DOI: 10.1007/s10957-004-1174-z
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    Cited by:

    1. Liang Chen & Yu-Hong Dai & Zhou Wei, 2022. "Sufficient conditions for existence of global minimizers of functions on Hilbert spaces," Journal of Global Optimization, Springer, vol. 84(1), pages 137-147, September.

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