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,
Mathematical Control and Related Fields, 2024, Volume 14, Issue 4: 1530-1559.
Florent Nacry, Vo Anh Thuong Nguyen, Juliette Venel,
Metric subregularity and omega-normal regularity properties
Journal of Optimization Theory and Applications, 203, 1439-1470 (2024)
Florent Nacry
On prox-regularity and strong convexity with variable radii in Hilbert spaces
Optimization, 10.1080/02331934.2025.2455422
Térence Bayen, Anas Bouali, Florent Nacry
Hybrid maximum principle for regional optimal control problems with nonsmooth interfaces
Journal of Convex Analysis, Vol. 32, 2025