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- J. F. Edmond, Lionel Thibault
- Math. Program.
- 2005

- Abderrahim Jourani, Lionel Thibault
- Math. Program.
- 1990

- C. COMBARI, M. LAGHDIR, L. THIBAULT
- 1999

The subdifferential formula for the sum of two convex functions defined on a locally convex space is proved under a general qualification condition. It is proved that all the similar results which are already known can be derivated from the formula.

The Hölder setting of the metric subregularity property of set-valued mappings between general metric or Banach/Asplund spaces is investigated in the framework of the theory of error bounds for extended real-valued functions of two variables. A classification scheme for the general Hölder metric subregularity criteria is presented. The criteria are… (More)

- Tahar Haddad, Lionel Thibault
- Math. Program.
- 2010

- Samir Adly, Tahar Haddad, Lionel Thibault
- Math. Program.
- 2014

- Marc Mazade, Lionel Thibault
- Math. Program.
- 2013

This paper studies, for a differential variational inequality involving a locally prox-regular set, a regularization process with a family of classical differential equations whose solutions converge to the solution of the differential variational inequality. The concept of local prox-regularity will be termed in a quantified way, as (r, α)-prox-regularity.

- Sylvie Marcellin, Lionel Thibault
- J. Global Optimization
- 2005

- Samir Adly, F. Nacry, Lionel Thibault
- SIAM Journal on Optimization
- 2016

- Rafael Correa, Pedro Gajardo, Lionel Thibault
- Math. Program.
- 2009

We prove in the general setting of lower semicontinuous functions on Banach spaces the relation between the Rockafellar directional derivative and the mixed lower limit of the lower Dini derivatives. As a byproduct we derive the famous inclusions of tangent cones of closed sets in Banach spaces. The results are established using as principal tool… (More)