Mon activité de recherche
Thèmes de recherche
Analyse variationelle unilatérale : ensembles non-réguliers (fortement convexe, faiblement convexe, alpha-far, sous-lisse, etc.) et fonction non-lisses (semiconvexes, primal lower nice, subsmooth), régularité métrique, sous-différentiabilité.
Inclusions différentielles : processus d'évolution de Jean Jacques Moreau (1er et 2ème ordre) et inéquations variationnelles.
Espaces de Banach : prox-régularité et forte convexité dans les espaces uniformément convexes et lisses.
Publications dans des revues internationales à comité de lecture
Samir Adly, Florent Nacry and Lionel Thibault,
Preservation of uniform prox-regularity and application to constrained optimization
,
SIAM Journal on Optimization
, 26, 448-473 (2016).
Samir Adly, Florent Nacry and Lionel Thibault,
Discontinuous sweeping process with prox-regular sets
,
ESAIM: Control, Optim. Calc. Var.
, 23, 1293-1329 (2017).
Florent Nacry,
Perturbed BV Sweeping Process Involving Prox-Regular Sets
,
J. Nonlinear Convex Anal.
, 18, 1619-1651 (2017).
Samir Adly and Florent Nacry,
An existence result for discontinuous second order nonconvex state dependent sweeping processes
,
Appl. Math. Optim.
79 (2019), 515–546.
Samir Adly, Florent Nacry and Lionel Thibault,
Prox-regularity approach to generalized equations and image projection
,
ESAIM: Control, Optim. Calc. Var.
24, 677-708 (2018)
Florent Nacry and Lionel Thibault,
Regularization of sweeping process: old and new
,
Pure Appl. Funct. Anal.
, 4, 59-117 (2019).
Florent Nacry,
Truncated nonconvex state-dependent sweeping process: implicit and semi-implicit adapted Moreau's catching-up algorithms
,
Journal of Fixed Point Theory and Applications
, Paper N°121 (2018).
Florent Nacry and Lionel Thibault,
BV prox-regular sweeping process with bounded truncated variation.
,
Optimization
69 (2020), 1391–1437
Florent Nacry, Jimmy Noel and Lionel Thibault,
On first and second-order state-dependent prox-regular sweeping process
,
Pure Appl. Funct. Anal.
, 6 1453–1493 (2021).
Samir Adly, Florent Nacry and Lionel Thibault,
New metric properties for prox-regular sets
,
Math. Program. 189 (2021)
, Ser. B, 7-36.
Meriem Aissous, Florent Nacry and Thuong Nguyen,
First and second order state-dependent bounded subsmooth sweeping processes
,
Linear Nonlinear Anal.
6 (2020), 447–472.
Florent Nacry, Mircea Sofonea
A class of nonlinear inclusions and sweeping processes in solid mechanics
Acta Applicandae Mathematicae
, 176, Article number : 16 (2021)
Abdelkader Al Sayed, Beniamin Bogosel, Antoine Henrot, Florent Nacry,
Maximization of the Steklov eigenvalues with a diameter constraint
SIAM J. Math. Anal. 53 (2021), 710–729.
Florent Nacry, Mircea Sofonea,
A history-dependent sweeping processes in contact mechanics
J. Convex. Anal. 29 (2022), 77-100.
Florent Nacry, Mircea Sofonea,
History-dependent operators and prox-regular sweeping processes
,
Fixed Point Theorey Algorithms Sci. Eng. 2022
Florent Nacry, Lionel Thibault
Distance function associated to a prox-regular set
Set-Valued Var. Anal. 30 (2022), 731-750.
Samir Adly, Florent Nacry and Lionel Thibault,
Prox-regular sets and Legendre-Fenchel transform related to separation properties
,
Optimization 71 (2022), 2097-2129.
Florent Nacry, Vo Anh Thuong Nguyen, Lionel Thibault
Farthest distance function to strongly convex sets
J. Convex. Anal. 30 (2023), 1217-1240.
Florent Nacry, Lionel Thibault,
Strongly convex sets with variable radii
to appear in Mathematical Control and Related Fields
Florent Nacry, Vo Anh Thuong Nguyen, Juliette Venel,
Metric subregularity and omega-normal regularity properties
to appear in Journal of Optimization Theory and Applications
Florent Nacry
On prox-regularity and strong convexity with variable radii in Hilbert spaces
to appear in Optimization.
Térence Bayen, Anas Bouali, Florent Nacry
Hybrid maximum principle for regional optimal control problems with nonsmooth interfaces
submitted