Edit Profile (opens in new tab) Thibault, Lionel Co-Author Distance Author ID: thibault.lionel Published as: Thibault, Lionel; Thibault, L. Homepage: https://thibault.xyz/about/ External Links: MGP Documents Indexed: 169 Publications since 1975, including 1 Book 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 57 Co-Authors with 138 Joint Publications 726 Co-Co-Authors all top 5 Co-Authors 31 single-authored 21 Jourani, Abderrahim 11 Zagrodny, Dariusz 10 Correa, Rafael Augusto Couceiro 10 Nacry, Florent 8 Haddad, Tahar 7 Combari, Christophe 6 Adly, Samir 6 Bernard, Frédéric 6 Bounkhel, Messaoud 6 Jofré, Alejandro 5 Cabot, A. 5 Gajardo, Pedro 5 Jouak, Mohamed 5 Zlateva, Nadia P. 4 Azzam-Laouir, Dalila 4 Castaing, Charles 4 Ivanov, Grigorii E. 4 Kecis, Ilyas 4 Salas, David 3 Bouach, Abderrahim 3 Edmond, Jean Fenel 3 El Abdouni, B. 3 Gutiérrez, César 3 Marcellin, Sylvie 3 Mazade, Marc 3 Noel, Jimmy 3 Novo-Sanjurjo, Vicente 3 Poliquin, René A. 2 Amahroq, Tijani 2 Huerga, Lidia 2 Lopez, Olivier 2 Makhlouf, Amira 2 Pérez-Aros, Pedro 1 Aussel, Didier 1 Brogliato, Bernard 1 Colombo, Giovanni 1 Czarnecki, Marc-Olivier 1 Daniilidis, Aris 1 Gautier, Serge 1 Hiriart-Urruty, Jean-Baptiste 1 Izza, Sabrina 1 Jiménez, Bienvenido 1 Lagdhir, M. 1 Laouir-Azzam, Dalila 1 Levy, Adam B. 1 Lounis, Sabrina 1 Martínez-Legaz, Juan-Enrique 1 Nguyen, Vo Anh Thuong 1 Rockafellar, Ralph Tyrrell 1 Sahraoui, Rahma 1 Salvadori, Anna 1 Sebbah, Matthieu 1 Sene, Moustapha 1 Serea, Oana-Silvia 1 Valadier, Michel 1 Vilches, Emilio 1 Yarou, M. all top 5 Serials 12 Journal of Convex Analysis 10 Journal of Nonlinear and Convex Analysis 9 Journal of Mathematical Analysis and Applications 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Optimization 8 Mathematical Programming. Series A. Series B 8 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 8 Set-Valued and Variational Analysis 7 Transactions of the American Mathematical Society 7 SIAM Journal on Optimization 6 Numerical Functional Analysis and Optimization 6 Proceedings of the American Mathematical Society 5 Journal of Optimization Theory and Applications 4 SIAM Journal on Control and Optimization 4 Set-Valued Analysis 4 Nonlinear Analysis. Theory, Methods & Applications 3 Applicable Analysis 3 Canadian Journal of Mathematics 2 Bulletin of the Australian Mathematical Society 2 Annales des Sciences Mathématiques du Québec 2 Canadian Mathematical Bulletin 2 Journal of Differential Equations 2 Mathematics of Operations Research 2 Mathematica Scandinavica 2 Journal of Global Optimization 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Linear and Nonlinear Analysis 2 Pure and Applied Functional Analysis 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Control and Cybernetics 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematika 1 Proceedings of the London Mathematical Society. Third Series 1 Differential and Integral Equations 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Discrete and Continuous Dynamical Systems 1 Journal of Applied Analysis 1 Vietnam Journal of Mathematics 1 Positivity 1 Taiwanese Journal of Mathematics 1 Communications in Contemporary Mathematics 1 Pacific Journal of Optimization 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Operations-Research-Verfahren all top 5 Fields 130 Calculus of variations and optimal control; optimization (49-XX) 49 Global analysis, analysis on manifolds (58-XX) 48 Functional analysis (46-XX) 41 Operations research, mathematical programming (90-XX) 36 Ordinary differential equations (34-XX) 31 Operator theory (47-XX) 28 Real functions (26-XX) 14 Convex and discrete geometry (52-XX) 12 Measure and integration (28-XX) 7 General topology (54-XX) 5 Approximations and expansions (41-XX) 4 Probability theory and stochastic processes (60-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 History and biography (01-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 154 Publications have been cited 2,620 times in 1,127 Documents Cited by ▼ Year ▼ Local differentiability of distance functions. Zbl 0960.49018 Poliquin, R. A.; Rockafellar, R. T.; Thibault, L. 230 2000 Sweeping process with regular and nonregular sets. Zbl 1037.34007 Thibault, Lionel 101 2003 BV solutions of nonconvex sweeping process differential inclusion with perturbation. Zbl 1110.34038 Edmond, Jean Fenel; Thibault, Lionel 82 2006 Relaxation of an optimal control problem involving a perturbed sweeping process. Zbl 1124.49010 Edmond, J. F.; Thibault, L. 80 2005 Prox-regular sets and applications. Zbl 1221.49001 Colombo, Giovanni; Thibault, Lionel 72 2010 Subsmooth sets: functional characterizations and related concepts. Zbl 1094.49016 Aussel, D.; Daniilidis, A.; Thibault, L. 66 2005 On various notions of regularity of sets in nonsmooth analysis. Zbl 1012.49013 Bounkhel, M.; Thibault, L. 64 2002 On subdifferentials of optimal value functions. Zbl 0734.90093 Thibault, Lionel 63 1991 Nonconvex sweeping process and prox-regularity in Hilbert space. Zbl 1086.49016 Bounkhel, Messaoud; Thibault, Lionel 63 2005 Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities. Zbl 1308.49013 Adly, Samir; Haddad, Tahar; Thibault, Lionel 62 2014 Integration of subdifferentials of lower semicontinuous functions on Banach spaces. Zbl 0826.49009 Thibault, Lionel; Zagrodny, Dariusz 54 1995 Characterization of lower semicontinuous convex functions. Zbl 0762.49007 Correa, R.; Jofré, A.; Thibault, L. 51 1992 On generalized differentials and subdifferentials of Lipschitz vector- valued functions. Zbl 0492.46036 Thibault, Lionel 49 1982 Subdifferentials of compactly Lipschitzian vector-valued functions. Zbl 0486.46037 Thibault, Lionel 47 1980 Approximations and metric regularity in mathematical programming in Banach space. Zbl 0779.49021 Jourani, A.; Thibault, L. 46 1993 Sequential convex subdifferential calculus and sequential Lagrange multipliers. Zbl 0891.90138 Thibault, Lionel 44 1997 Subdifferential monotonicity as characterization of convex functions. Zbl 0807.49015 Correa, Rafael; Jofré, Alejandro; Thibault, Lionel 37 1994 Characterizations of prox-regular sets in uniformly convex Banach spaces. Zbl 1121.49014 Bernard, Frédéric; Thibault, Lionel; Zlateva, Nadia 37 2006 Subdifferentials of composite convex functions. (Sous-différentiels de fonctions convexes composées.) Zbl 0840.49009 Combari, C.; Laghdir, M.; Thibault, L. 36 1994 Prox-regular functions in Hilbert spaces. Zbl 1085.49020 Bernard, Frédéric; Thibault, Lionel 36 2005 Approximate subdifferential and metric regularity: The finite-dimensional case. Zbl 0714.49023 Jourani, A.; Thibault, L. 36 1990 Verifiable conditions for openness and regularity of multivalued mappings in Banach spaces. Zbl 0827.54013 Jourani, A.; Thibault, L. 31 1995 Prox-regular sets and epigraphs in uniformly convex Banach spaces: various regularities and other properties. Zbl 1216.49015 Bernard, Frédéric; Thibault, Lionel; Zlateva, Nadia 31 2011 Discontinuous sweeping process with prox-regular sets. Zbl 1379.49023 Adly, Samir; Nacry, Florent; Thibault, Lionel 30 2017 Moreau sweeping process with bounded truncated retraction. Zbl 1360.34032 Thibault, Lionel 29 2016 Existence and uniqueness of solutions for non-autonomous complementarity dynamical systems. Zbl 1217.34026 Brogliato, B.; Thibault, L. 28 2010 Lagrange multipliers for Pareto nonsmooth programming problems in Banach spaces. Zbl 0817.90090 El Abdouni, B.; Thibault, L. 27 1992 Partial extensions of Attouch’s theorem with applications to proto- derivatives of subgradient mappings. Zbl 0837.49013 Levy, Adam B.; Poliquin, René A.; Thibault, Lionel 27 1995 Preservation of prox-regularity of sets with applications to constrained optimization. Zbl 1333.49031 Adly, Samir; Nacry, Florent; Thibault, Lionel 27 2016 Differential properties of the Moreau envelope. Zbl 1296.49018 Jourani, Abderrahim; Thibault, Lionel; Zagrodny, Dariusz 26 2014 Metric regularity for strongly compactly Lipschitzian mappings. Zbl 0829.46030 Jourani, A.; Thibault, L. 26 1995 Evolution problems associated with primal lower nice functions. Zbl 1102.49012 Marcellin, Sylvie; Thibault, Lionel 25 2006 Prox-regularity of functions and sets in Banach spaces. Zbl 1046.49009 Bernard, Frédéric; Thibault, Lionel 25 2004 Coderivatives of multivalued mappings, locally compact cones and metric regularity. Zbl 0919.46031 Jourani, A.; Thibault, L. 24 1999 Quelques propriétés des sous-différentiels de fonctions réelles localement lipschitziennes definies sur un espace de Banach séparable. Zbl 0343.46030 Thibault, Lionel 24 1976 Reduction of sweeping process to unconstrained differential inclusion. Zbl 1185.34018 Haddad, T.; Jourani, A.; Thibault, L. 24 2008 Functional evolution equations governed by nonconvex sweeping process. Zbl 0999.34062 Castaing, Charles; Salvadori, Anna; Thibault, Lionel 22 2001 Metric regularity and subdifferential calculus in Banach spaces. Zbl 0854.49015 Jourani, A.; Thibault, L. 21 1995 The approximate subdifferential of composite functions. Zbl 0785.58010 Jourani, A.; Thibault, L. 20 1993 Regularization of nonconvex sweeping process in Hilbert space. Zbl 1162.34010 Thibault, Lionel 18 2008 Subdifferential characterization of convexity. Zbl 0932.49020 Correa, Rafael; Jofré, Alejandro; Thibault, Lionel 17 1995 Extensions of subdifferential calculus rules in Banach spaces. Zbl 0871.49020 Jourani, A.; Thibault, L. 17 1996 Viability for constrained stochastic differential equations. Zbl 0780.93085 Gautier, Serge; Thibault, Lionel 17 1993 Regularization of differential variational inequalities with locally prox-regular sets. Zbl 1276.34053 Mazade, Marc; Thibault, Lionel 17 2013 Perturbed sweeping process with a subsmooth set depending on the state. Zbl 1350.34049 Haddad, T.; Noel, J.; Thibault, L. 16 2016 Mixed semicontinuous perturbation of nonconvex state-dependent sweeping process. Zbl 1307.34033 Azzam-Laouir, Dalila; Izza, Sabrina; Thibault, Lionel 16 2014 \(C^{1,\omega (\cdot )}\)-regularity and Lipschitz-like properties of subdifferential. Zbl 1251.49021 Jourani, A.; Thibault, L.; Zagrodny, D. 16 2012 Regularization of sweeping process: old and new. Zbl 1454.34038 Nacry, Florent; Thibault, Lionel 16 2019 Uniform prox-regularity of functions and epigraphs in Hilbert spaces. Zbl 1068.49012 Bernard, F.; Thibault, L. 15 2005 Subdifferentials of nonconvex vector-valued functions. Zbl 0492.58005 Thibault, Lionel 15 1982 Tangent cones and quasi-interiorly tangent cones to multifunctions. Zbl 0527.90088 Thibault, Lionel 15 1983 Strict approximate solutions in set-valued optimization with applications to the approximate Ekeland variational principle. Zbl 1208.49012 Gutiérrez, C.; Jiménez, B.; Novo, V.; Thibault, L. 15 2010 Esperances conditionnelles d’intégrandes semi-continus. Zbl 0471.60004 Thibault, Lionel 14 1981 Integration of primal lower nice functions in Hilbert spaces. Zbl 1079.49015 Bernard, F.; Thibault, L.; Zagrodny, D. 14 2005 Relaxation of optimal control problems involving time dependent subdifferential operators. Zbl 1288.34057 Saïdi, S.; Thibault, L.; Yarou, M. 14 2013 Nonconvex sweeping process with a moving set depending on the state. Zbl 1315.34068 Noel, Jimmy; Thibault, Lionel 13 2014 A note on the Zagrodny mean value theorem. Zbl 0837.49012 Thibault, L. 13 1995 Three boundary value problems for second order differential inclusions in Banach spaces. Zbl 1111.34303 Azzam, Dalila Laouir; Castaing, Charles; Thibault, Lionel 13 2002 On perturbed sweeping process. Zbl 1344.34072 Azzam-Laouir, Dalila; Makhlouf, Amira; Thibault, Lionel 13 2016 Existence and relaxation theorem for a second order differential inclusion. Zbl 1223.34018 Azzam-Laouir, Dalila; Makhlouf, Amira; Thibault, Lionel 13 2010 On subdifferential calculus for convex functions defined on locally convex spaces. Zbl 1100.49501 Combari, C.; Laghdir, M.; Thibault, L. 12 1999 A note on subdifferentials of convex composite functionals. Zbl 0854.49017 Combari, C.; Laghdir, M.; Thibault, L. 12 1996 Regularization of dynamical systems associated with prox-regular moving sets. Zbl 1296.34140 Sene, Moustapha; Thibault, Lionel 12 2014 Unilateral variational analysis in Banach spaces. Part I: General theory. Part II: Special classes of functions and sets. In 2 volumes. Zbl 07502906 Thibault, Lionel 12 2023 Limiting convex subdifferential calculus with applications to integration and maximal monotonicity of subdifferential. Zbl 0967.49011 Thibault, Lionel 11 2000 Differential variational inequalities with locally prox-regular sets. Zbl 1266.34104 Mazade, Marc; Thibault, Lionel 11 2012 BV prox-regular sweeping process with bounded truncated variation. Zbl 1454.49009 Nacry, Florent; Thibault, Lionel 11 2020 A generalized sequential formula for subdifferentials of sums of convex functions defined on Banach spaces. Zbl 0845.90101 Thibault, Lionel 10 1995 Enlarged inclusion of subdifferentials. Zbl 1074.49004 Thibault, Lionel; Zagrodny, Dariusz 10 2005 Optimality conditions for problems with set-valued objectives. Zbl 0874.49017 El Abdouni, B.; Thibault, L. 10 1996 Existence solutions for second-order differential inclusions with nonconvex perturbations. Zbl 1141.34005 Azzam-Laouir, Dalila; Lounis, Sabrina; Thibault, Lionel 10 2007 Mixed semicontinuous perturbations of nonconvex sweeping processes. Zbl 1195.34024 Haddad, Tahar; Thibault, Lionel 10 2010 Subdifferential determination of essentially directionally smooth functions in Banach space. Zbl 1208.49011 Thibault, Lionel; Zagrodny, Dariusz 10 2010 The use of metric graphical regularity in approximate subdifferential calculus rules in finite dimensions. Zbl 0721.49018 Jourani, A.; Thibault, L. 9 1990 Reduction of state dependent sweeping process to unconstrained differential inclusion. Zbl 1323.34028 Haddad, Tahar; Kecis, Ilyas; Thibault, Lionel 9 2015 Problème de Bolza dans un espace de Banach séparable. Zbl 0357.49018 Thibault, Lionel 8 1976 Directional derivatives and almost everywhere differentiability of biconvex and concave-convex operators. Zbl 0608.46022 Jouak, Mohamed; Thibault, Lionel 8 1985 Integrability of subdifferentials of directionally Lipschitz functions. Zbl 1079.49017 Thibault, Lionel; Zlateva, Nadia 8 2005 Equicontinuity of families of convex and concave-convex operators. Zbl 0556.47034 Jouak, Mohamed; Thibault, Lionel 8 1984 Weak compactness of sublevel sets in complete locally convex spaces. Zbl 1431.46056 Pérez-Aros, Pedro; Thibault, Lionel 8 2019 Subsmooth functions and sets. Zbl 1473.49018 Thibault, Lionel 8 2018 On the discretization of truncated integro-differential sweeping process and optimal control. Zbl 1489.49008 Bouach, Abderrahim; Haddad, Tahar; Thibault, Lionel 8 2022 Moreau envelopes of \(s\)-lower regular functions. Zbl 1325.49022 Kecis, I.; Thibault, L. 7 2015 Primal lower nice functions and their Moreau envelopes. Zbl 1281.49010 Mazade, Marc; Thibault, Lionel 7 2013 Continuity of measurable convex and biconvex operators. Zbl 0564.46006 Thibault, Lionel 7 1984 The NSLUC property and Klee envelope. Zbl 1350.49013 Jourani, A.; Thibault, L.; Zagrodny, D. 7 2016 Primal-lower-nice property of value functions in optimization and control problems. Zbl 1219.49005 Serea, Oana Silvia; Thibault, Lionel 7 2010 Infimal convolution and optimal time control problem. III: Minimal time projection set. Zbl 1381.49012 Ivanov, Grigorii E.; Thibault, Lionel 6 2018 Smoothness of the metric projection onto nonconvex bodies in Hilbert spaces. Zbl 1379.49033 Correa, Rafael; Salas, David; Thibault, Lionel 6 2018 Sequential formulae for the normal cone to sublevel sets. Zbl 1302.90147 Cabot, A.; Thibault, L. 6 2014 Chain rules for coderivatives of multivalued mappings in Banach spaces. Zbl 0894.49010 Jourani, A.; Thibault, L. 6 1998 On proto-differentiability and strict proto-differentiability of multifunctions of feasible points in perturbed optimization problems. Zbl 0857.49011 Amahroq, T.; Thibault, L. 6 1995 Metric projection and compatibly parameterized families of prox-regular sets in Hilbert space. Zbl 1236.49037 Sebbah, Matthieu; Thibault, Lionel 6 2012 Nonconvex integro-differential sweeping process with applications. Zbl 07600095 Bouach, Abderrahim; Haddad, Tahar; Thibault, Lionel 6 2022 Prox-regularity approach to generalized equations and image projection. Zbl 1409.49014 Adly, Samir; Nacry, Florent; Thibault, Lionel 6 2018 Convergence of subdifferentials of convexly composite functions. Zbl 0942.49019 Combari, C.; Poliquin, R.; Thibault, L. 5 1999 Subdifferential characterization of \(s\)-lower regular functions. Zbl 1308.49011 Kecis, I.; Thibault, L. 5 2015 Subdifferential regularity of directionally Lipschitzian functions. Zbl 0949.49014 Bounkhel, M.; Thibault, L. 5 2000 Envelopes for sets and functions: regularization and generalized conjugacy. Zbl 1376.52018 Cabot, A.; Jourani, A.; Thibault, L. 5 2017 D-representation of subdifferentials of directionally Lipschitz functions. Zbl 0701.49024 Jofre, Alejandro; Thibault, Lionel 5 1990 Unilateral variational analysis in Banach spaces. Part I: General theory. Part II: Special classes of functions and sets. In 2 volumes. Zbl 07502906 Thibault, Lionel 12 2023 Various perturbations and relaxations of the sweeping process. Zbl 1528.34052 Castaing, Charles; Thibault, Lionel 2 2023 Determining functions by slopes. Zbl 07704031 Thibault, Lionel; Zagrodny, Dariusz 1 2023 Farthest distance function to strongly convex sets. Zbl 1526.49009 Nacry, Florent; Nguyen, Vo Anh Thuong; Thibault, Lionel 1 2023 On the discretization of truncated integro-differential sweeping process and optimal control. Zbl 1489.49008 Bouach, Abderrahim; Haddad, Tahar; Thibault, Lionel 8 2022 Nonconvex integro-differential sweeping process with applications. Zbl 07600095 Bouach, Abderrahim; Haddad, Tahar; Thibault, Lionel 6 2022 Prox-regular sets and Legendre-Fenchel transform related to separation properties. Zbl 1493.49018 Adly, Samir; Nacry, Florent; Thibault, Lionel 4 2022 Distance function associated to a prox-regular set. Zbl 1492.49020 Nacry, Florent; Thibault, Lionel 3 2022 On first and second order state-dependent prox-regular sweeping processes. Zbl 1478.34022 Nacry, Florent; Noel, Jimmy; Thibault, Lionel 4 2021 New metric properties for prox-regular sets. Zbl 1479.49026 Adly, S.; Nacry, F.; Thibault, L. 3 2021 Quantitative characterizations of nonconvex bodies with smooth boundaries in Hilbert spaces via the metric projection. Zbl 1469.46022 Salas, David; Thibault, Lionel 2 2021 BV prox-regular sweeping process with bounded truncated variation. Zbl 1454.49009 Nacry, Florent; Thibault, Lionel 11 2020 Regularization of sweeping process: old and new. Zbl 1454.34038 Nacry, Florent; Thibault, Lionel 16 2019 Weak compactness of sublevel sets in complete locally convex spaces. Zbl 1431.46056 Pérez-Aros, Pedro; Thibault, Lionel 8 2019 On smoothness of solutions to projected differential equations. Zbl 1418.49011 Salas, David; Thibault, Lionel; Vilches, Emilio 3 2019 On characterizations of submanifolds via smoothness of the distance function in Hilbert spaces. Zbl 1433.46016 Salas, David; Thibault, Lionel 2 2019 The attainment set of the \(\varphi\)-envelope and genericity properties. Zbl 1423.49014 Cabot, A.; Jourani, A.; Thibault, L.; Zagrodny, D. 2 2019 Well-posedness and subdifferentials of optimal value and infimal convolution. Zbl 1430.49009 Ivanov, Grigorii E.; Thibault, Lionel 2 2019 Evolution differential inclusions associated to primal lower regular functions. Zbl 1472.34034 Kecis, Ilyas; Thibault, Lionel 1 2019 Subsmooth functions and sets. Zbl 1473.49018 Thibault, Lionel 8 2018 Infimal convolution and optimal time control problem. III: Minimal time projection set. Zbl 1381.49012 Ivanov, Grigorii E.; Thibault, Lionel 6 2018 Smoothness of the metric projection onto nonconvex bodies in Hilbert spaces. Zbl 1379.49033 Correa, Rafael; Salas, David; Thibault, Lionel 6 2018 Prox-regularity approach to generalized equations and image projection. Zbl 1409.49014 Adly, Samir; Nacry, Florent; Thibault, Lionel 6 2018 Sublevel representations of epi-Lipschitz sets and other properties. Zbl 1392.49016 Czarnecki, Marc-Olivier; Thibault, Lionel 3 2018 Infimal convolution and optimal time control problem. I: Fréchet and proximal subdifferentials. Zbl 1400.49015 Ivanov, Grigorii E.; Thibault, Lionel 3 2018 Discontinuous sweeping process with prox-regular sets. Zbl 1379.49023 Adly, Samir; Nacry, Florent; Thibault, Lionel 30 2017 Envelopes for sets and functions: regularization and generalized conjugacy. Zbl 1376.52018 Cabot, A.; Jourani, A.; Thibault, L. 5 2017 Infimal convolution and optimal time control problem. II: Limiting subdifferential. Zbl 1393.49010 Ivanov, Grigorii E.; Thibault, Lionel 4 2017 Sequential \(\varepsilon\)-subdifferential calculus for scalar and vector mappings. Zbl 1371.49008 Gutiérrez, C.; Huerga, L.; Novo, V.; Thibault, Lionel 4 2017 Moreau sweeping process with bounded truncated retraction. Zbl 1360.34032 Thibault, Lionel 29 2016 Preservation of prox-regularity of sets with applications to constrained optimization. Zbl 1333.49031 Adly, Samir; Nacry, Florent; Thibault, Lionel 27 2016 Perturbed sweeping process with a subsmooth set depending on the state. Zbl 1350.34049 Haddad, T.; Noel, J.; Thibault, L. 16 2016 On perturbed sweeping process. Zbl 1344.34072 Azzam-Laouir, Dalila; Makhlouf, Amira; Thibault, Lionel 13 2016 The NSLUC property and Klee envelope. Zbl 1350.49013 Jourani, A.; Thibault, L.; Zagrodny, D. 7 2016 Reduction of state dependent sweeping process to unconstrained differential inclusion. Zbl 1323.34028 Haddad, Tahar; Kecis, Ilyas; Thibault, Lionel 9 2015 Moreau envelopes of \(s\)-lower regular functions. Zbl 1325.49022 Kecis, I.; Thibault, L. 7 2015 Subdifferential characterization of \(s\)-lower regular functions. Zbl 1308.49011 Kecis, I.; Thibault, L. 5 2015 Chain rules for a proper \(\varepsilon\)-subdifferential of vector mappings. Zbl 1327.90384 Gutiérrez, César; Huerga, Lidia; Novo, Vicente; Thibault, Lionel 2 2015 Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities. Zbl 1308.49013 Adly, Samir; Haddad, Tahar; Thibault, Lionel 62 2014 Differential properties of the Moreau envelope. Zbl 1296.49018 Jourani, Abderrahim; Thibault, Lionel; Zagrodny, Dariusz 26 2014 Mixed semicontinuous perturbation of nonconvex state-dependent sweeping process. Zbl 1307.34033 Azzam-Laouir, Dalila; Izza, Sabrina; Thibault, Lionel 16 2014 Nonconvex sweeping process with a moving set depending on the state. Zbl 1315.34068 Noel, Jimmy; Thibault, Lionel 13 2014 Regularization of dynamical systems associated with prox-regular moving sets. Zbl 1296.34140 Sene, Moustapha; Thibault, Lionel 12 2014 Sequential formulae for the normal cone to sublevel sets. Zbl 1302.90147 Cabot, A.; Thibault, L. 6 2014 Convergence of subdifferentials and normal cones in locally uniformly convex Banach space. Zbl 1283.49017 Thibault, L.; Zakaryan, T. 4 2014 Regularization of differential variational inequalities with locally prox-regular sets. Zbl 1276.34053 Mazade, Marc; Thibault, Lionel 17 2013 Relaxation of optimal control problems involving time dependent subdifferential operators. Zbl 1288.34057 Saïdi, S.; Thibault, L.; Yarou, M. 14 2013 Primal lower nice functions and their Moreau envelopes. Zbl 1281.49010 Mazade, Marc; Thibault, Lionel 7 2013 Sequential formula for subdifferential of upper envelope of convex functions. Zbl 1291.52016 Lopez, Olivier; Thibault, Lionel 4 2013 Existence of minimizers on drops. Zbl 1278.65095 Correa, R.; Gajardo, P.; Thibault, L.; Zagrodny, D. 2 2013 \(C^{1,\omega (\cdot )}\)-regularity and Lipschitz-like properties of subdifferential. Zbl 1251.49021 Jourani, A.; Thibault, L.; Zagrodny, D. 16 2012 Differential variational inequalities with locally prox-regular sets. Zbl 1266.34104 Mazade, Marc; Thibault, Lionel 11 2012 Metric projection and compatibly parameterized families of prox-regular sets in Hilbert space. Zbl 1236.49037 Sebbah, Matthieu; Thibault, Lionel 6 2012 Prox-regular sets and epigraphs in uniformly convex Banach spaces: various regularities and other properties. Zbl 1216.49015 Bernard, Frédéric; Thibault, Lionel; Zlateva, Nadia 31 2011 Noncoincidence of approximate and limiting subdifferentials of integral functionals. Zbl 1229.49017 Jourani, Abderrahim; Thibault, Lionel 4 2011 Prox-regular sets and applications. Zbl 1221.49001 Colombo, Giovanni; Thibault, Lionel 72 2010 Existence and uniqueness of solutions for non-autonomous complementarity dynamical systems. Zbl 1217.34026 Brogliato, B.; Thibault, L. 28 2010 Strict approximate solutions in set-valued optimization with applications to the approximate Ekeland variational principle. Zbl 1208.49012 Gutiérrez, C.; Jiménez, B.; Novo, V.; Thibault, L. 15 2010 Existence and relaxation theorem for a second order differential inclusion. Zbl 1223.34018 Azzam-Laouir, Dalila; Makhlouf, Amira; Thibault, Lionel 13 2010 Mixed semicontinuous perturbations of nonconvex sweeping processes. Zbl 1195.34024 Haddad, Tahar; Thibault, Lionel 10 2010 Subdifferential determination of essentially directionally smooth functions in Banach space. Zbl 1208.49011 Thibault, Lionel; Zagrodny, Dariusz 10 2010 Primal-lower-nice property of value functions in optimization and control problems. Zbl 1219.49005 Serea, Oana Silvia; Thibault, Lionel 7 2010 Various Lipschitz-like properties for functions and sets. I: Directional derivative and tangential characterizations. Zbl 1206.26004 Correa, Rafael; Gajardo, Pedro; Thibault, Lionel 4 2010 Links between directional derivatives through multidirectional mean value inequalities. Zbl 1160.26004 Correa, Rafael; Gajardo, Pedro; Thibault, Lionel 5 2009 Reduction of sweeping process to unconstrained differential inclusion. Zbl 1185.34018 Haddad, T.; Jourani, A.; Thibault, L. 24 2008 Regularization of nonconvex sweeping process in Hilbert space. Zbl 1162.34010 Thibault, Lionel 18 2008 Sequential formula for subdifferential of integral sum of convex functions. Zbl 1145.49011 Lopez, Olivier; Thibault, Lionel 5 2008 Existence solutions for second-order differential inclusions with nonconvex perturbations. Zbl 1141.34005 Azzam-Laouir, Dalila; Lounis, Sabrina; Thibault, Lionel 10 2007 BV solutions of nonconvex sweeping process differential inclusion with perturbation. Zbl 1110.34038 Edmond, Jean Fenel; Thibault, Lionel 82 2006 Characterizations of prox-regular sets in uniformly convex Banach spaces. Zbl 1121.49014 Bernard, Frédéric; Thibault, Lionel; Zlateva, Nadia 37 2006 Evolution problems associated with primal lower nice functions. Zbl 1102.49012 Marcellin, Sylvie; Thibault, Lionel 25 2006 Subdifferential representation formula and subdifferential criteria for the behavior of nonsmooth functions. Zbl 1093.49010 Correa, Rafael; Gajardo, Pedro; Thibault, Lionel 5 2006 Relaxation of an optimal control problem involving a perturbed sweeping process. Zbl 1124.49010 Edmond, J. F.; Thibault, L. 80 2005 Subsmooth sets: functional characterizations and related concepts. Zbl 1094.49016 Aussel, D.; Daniilidis, A.; Thibault, L. 66 2005 Nonconvex sweeping process and prox-regularity in Hilbert space. Zbl 1086.49016 Bounkhel, Messaoud; Thibault, Lionel 63 2005 Prox-regular functions in Hilbert spaces. Zbl 1085.49020 Bernard, Frédéric; Thibault, Lionel 36 2005 Uniform prox-regularity of functions and epigraphs in Hilbert spaces. Zbl 1068.49012 Bernard, F.; Thibault, L. 15 2005 Integration of primal lower nice functions in Hilbert spaces. Zbl 1079.49015 Bernard, F.; Thibault, L.; Zagrodny, D. 14 2005 Enlarged inclusion of subdifferentials. Zbl 1074.49004 Thibault, Lionel; Zagrodny, Dariusz 10 2005 Integrability of subdifferentials of directionally Lipschitz functions. Zbl 1079.49017 Thibault, Lionel; Zlateva, Nadia 8 2005 Integration of \(\epsilon\)-Fenchel subdifferentials and maximal cyclic monotonicity. Zbl 1083.49013 Marcellin, Sylvie; Thibault, Lionel 5 2005 Variational convergence of composed convex functions. Zbl 1134.49307 Lagdhir, M.; Thibault, L. 1 2005 Prox-regularity of functions and sets in Banach spaces. Zbl 1046.49009 Bernard, Frédéric; Thibault, Lionel 25 2004 Sweeping process with regular and nonregular sets. Zbl 1037.34007 Thibault, Lionel 101 2003 On the graph convergence of \(\varepsilon\)-Fenchel subdifferentials of convex functions. Zbl 1037.46064 Combari, Christophe; Marcellin, Sylvie; Thibault, Lionel 5 2003 Epiconvergence of convexly composite functions in Banach spaces. Zbl 1033.49024 Combari, Christophe; Thibault, Lionel 2 2003 Integrability of subdifferentials of certain bivariate functions. Zbl 1035.49018 Thibault, Lionel; Zlateva, Nadia 1 2003 On various notions of regularity of sets in nonsmooth analysis. Zbl 1012.49013 Bounkhel, M.; Thibault, L. 64 2002 Three boundary value problems for second order differential inclusions in Banach spaces. Zbl 1111.34303 Azzam, Dalila Laouir; Castaing, Charles; Thibault, Lionel 13 2002 Directionally pseudo-Lipschitz set-valued mappings. Zbl 1012.49016 Bounkhel, M.; Thibault, L. 2 2002 Functional evolution equations governed by nonconvex sweeping process. Zbl 0999.34062 Castaing, Charles; Salvadori, Anna; Thibault, Lionel 22 2001 Local differentiability of distance functions. Zbl 0960.49018 Poliquin, R. A.; Rockafellar, R. T.; Thibault, L. 230 2000 Limiting convex subdifferential calculus with applications to integration and maximal monotonicity of subdifferential. Zbl 0967.49011 Thibault, Lionel 11 2000 Subdifferential regularity of directionally Lipschitzian functions. Zbl 0949.49014 Bounkhel, M.; Thibault, L. 5 2000 Tangential regularity of Lipschitz epigraphic set-valued mappings. Zbl 0980.90068 Bounkhel, M.; Thibault, L. 2 2000 Coderivatives of multivalued mappings, locally compact cones and metric regularity. Zbl 0919.46031 Jourani, A.; Thibault, L. 24 1999 On subdifferential calculus for convex functions defined on locally convex spaces. Zbl 1100.49501 Combari, C.; Laghdir, M.; Thibault, L. 12 1999 Convergence of subdifferentials of convexly composite functions. Zbl 0942.49019 Combari, C.; Poliquin, R.; Thibault, L. 5 1999 Scalarization of tangential regularity of set-valued mappings. Zbl 0942.49017 Bounkhel, M.; Thibault, L. 2 1999 Chain rules for coderivatives of multivalued mappings in Banach spaces. Zbl 0894.49010 Jourani, A.; Thibault, L. 6 1998 ...and 54 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 922 Authors 88 Thibault, Lionel 57 Mordukhovich, Boris S. 40 Jourani, Abderrahim 32 Penot, Jean-Paul 28 Hantoute, Abderrahim 24 Adly, Samir 22 Correa, Rafael Augusto Couceiro 21 Azzam-Laouir, Dalila 21 Bounkhel, Messaoud 20 Noor, Muhammad Aslam 18 Haddad, Tahar 18 Mahmudov, Elimhan Nadir 16 Castaing, Charles 16 Colombo, Giovanni 16 Pérez-Aros, Pedro 16 Théra, Michel A. 16 Vilches, Emilio 15 Gutiérrez, César 14 Huynh Van Ngai 14 Saïdi, Soumia 13 Phan Quôc Khánh 13 Tolstonogov, Aleksandr Aleksandrovich 12 Boţ, Radu Ioan 12 Brogliato, Bernard 12 Daniilidis, Aris 12 López-Cerdá, Marco Antonio 12 Nacry, Florent 12 Zagrodny, Dariusz 11 Balooee, Javad 11 Monteiro Marques, Manuel D. P. 11 Novo-Sanjurjo, Vicente 11 Yarou, Mustapha Fateh 11 Zheng, Xiyin 10 Balashov, Maxim Viktorovich 10 Gadhi, Nazih Abderrazzak 10 Ivanov, Grigorii E. 10 Wang, Shawn Xianfu 10 Wanka, Gert 9 Amahroq, Tijani 9 Dinh The Luc 9 Le, Ba Khiet 9 Nam, Nguyen Mau 9 Nour, Chadi 9 Recupero, Vincenzo 9 Yao, Jen-Chih 8 Affane, Doria 8 Luke, David Russell 8 Ng, Kung-Fu 8 Thao, Nguyen Hieu 8 Zlateva, Nadia P. 7 Ioffe, Alexander Davidovich 7 Jeyakumar, Vaithilingam 7 Kruger, Alexander Y. 7 Kummer, Bernd 7 Lassonde, Marc 7 Makarenkov, Oleg Yuryĭovych 7 Noor, Khalida Inayat 7 Papageorgiou, Nikolaos S. 7 Quincampoix, Marc 7 Serea, Oana-Silvia 7 Nguyen Dong Yen 6 Dempe, Stephan 6 Goreac, Dan 6 Henrion, René 6 Kamenskiĭ, Mikhaĭl Igor’evich 6 Klatte, Diethard 6 Laghdir, Mohamed 6 López, Ruben 6 Nguyen, Bao Tran Nhan 6 Salas, David 6 Sofonea, Mircea 6 Wang, Bingwu 6 Wei, Zhou 6 Zeidan, Vera Michel 5 Ansari, Qamrul Hasan 5 Borwein, Jonathan Michael 5 Bouach, Abderrahim 5 Cao, Tan H. 5 Cho, Yeol Je 5 Craven, Bruce Desmond 5 Dali, Issam 5 Grad, Sorin-Mihai 5 He, Yiran 5 Jiménez, Bienvenido 5 Li, Shengjie 5 Long, Xianjun 5 Moustaid, Mohamed Bilal 5 Nguyen, Dao 5 Oussarhan, Abdessamad 5 Páles, Zsolt 5 Ribarska, Nadezhda K. 5 Shao, Yongheng 5 Takche, Jean 5 Truong Xuan Duc Ha 5 Tuan, Nguyen Dinh 5 Venel, Juliette 5 Zafarani, Jafar 4 Acary, Vincent 4 Bachar, Mostafa 4 Bernard, Frédéric ...and 822 more Authors all top 5 Cited in 193 Serials 91 Journal of Optimization Theory and Applications 73 Journal of Mathematical Analysis and Applications 69 Journal of Convex Analysis 67 Set-Valued and Variational Analysis 66 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 61 Optimization 49 Mathematical Programming. Series A. Series B 33 Journal of Global Optimization 31 SIAM Journal on Optimization 24 Journal of Differential Equations 22 Numerical Functional Analysis and Optimization 22 Transactions of the American Mathematical Society 20 Applicable Analysis 20 Set-Valued Analysis 20 Nonlinear Analysis. Theory, Methods & Applications 19 Optimization Letters 18 SIAM Journal on Control and Optimization 15 Applied Mathematics and Optimization 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 Proceedings of the American Mathematical Society 10 Vietnam Journal of Mathematics 9 Journal of Functional Analysis 7 Bulletin of the Australian Mathematical Society 7 Positivity 7 Journal of Fixed Point Theory and Applications 7 Evolution Equations and Control Theory 6 Mathematics of Operations Research 6 Journal of Mathematical Sciences (New York) 6 Mathematical Methods of Operations Research 6 Journal of Inequalities and Applications 6 Journal of Nonlinear and Variational Analysis 5 Mathematical Notes 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Top 5 Discrete and Continuous Dynamical Systems 5 Abstract and Applied Analysis 5 Discrete and Continuous Dynamical Systems. 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English Series 3 Bulletin de la Société Mathématique de France. Supplément. Mémoires 3 Journal of the Operations Research Society of China 3 Korean Journal of Mathematics 2 Mathematical Methods in the Applied Sciences 2 Advances in Mathematics 2 The Annals of Statistics 2 Annales Polonici Mathematici 2 Applied Mathematics and Computation 2 Commentationes Mathematicae Universitatis Carolinae 2 Journal of Economic Theory 2 Journal of Soviet Mathematics 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Numerische Mathematik 2 Systems & Control Letters 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Applicandae Mathematicae 2 Bulletin of the Iranian Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 European Journal of Operational Research 2 Journal of Mathematical Imaging and Vision 2 Calculus of Variations and Partial Differential Equations 2 Filomat 2 NoDEA. Nonlinear Differential Equations and Applications 2 Sbornik: Mathematics 2 Optimization Methods & Software 2 Journal of Dynamical and Control Systems 2 Journal of Evolution Equations 2 Foundations of Computational Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 2 Journal of Applied Mathematics and Computing 2 Journal of Function Spaces and Applications 2 Fixed Point Theory and Applications 2 Nonlinear Analysis. Hybrid Systems 2 Numerical Algebra, Control and Optimization 2 SIAM Journal on Mathematics of Data Science 2 Fixed Point Theory and Algorithms for Sciences and Engineering 1 Analysis Mathematica 1 Israel Journal of Mathematics ...and 93 more Serials all top 5 Cited in 43 Fields 719 Calculus of variations and optimal control; optimization (49-XX) 484 Operations research, mathematical programming (90-XX) 213 Ordinary differential equations (34-XX) 201 Operator theory (47-XX) 152 Functional analysis (46-XX) 131 Real functions (26-XX) 95 Global analysis, analysis on manifolds (58-XX) 77 Numerical analysis (65-XX) 53 Systems theory; control (93-XX) 48 Convex and discrete geometry (52-XX) 43 Partial differential equations (35-XX) 42 Measure and integration (28-XX) 34 General topology (54-XX) 34 Probability theory and stochastic processes (60-XX) 24 Approximations and expansions (41-XX) 19 Mechanics of deformable solids (74-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Dynamical systems and ergodic theory (37-XX) 13 Mechanics of particles and systems (70-XX) 9 Integral equations (45-XX) 7 Differential geometry (53-XX) 7 Computer science (68-XX) 5 Mathematical logic and foundations (03-XX) 5 Statistics (62-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Difference and functional equations (39-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Algebraic topology (55-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year