Florent Nacry

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 to appear in Journal of Convex Analysis (2023)

Florent Nacry, Lionel Thibault, Strongly convex sets with variable radii submitted

Florent Nacry, Vo Anh Thuong Nguyen, Juliette Venel, Metric subregularity and omega-normal regularity properties submitted

Florent Nacry On prox-regularity and strong convexity with variable radii in Hilbert spaces submitted