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Thèmes de recherche
- Analyse variationnelle / Variational analysis
- Optimisation multivoque / Set optimization
- Optimisation numérique / Numerical optimization
- Analyse non lisse / Nonsmooth analysis
- Analyse convexe / Convex analysis
Recherche
Direction de thèses :
Yvesner Marcelin (2013-2016) : Développements récents en analyse multivoque : prédérivées et optimisation multivoque.
Géraldine Pascaline (2009-2011) : Convergence de Fisher et H-différentiabilité des applications multivoques.
Michaël Gaydu (2007-2010) : Développements autour de la résolutions d'inclusions variationnelles métriquement régulières.
Co-direction de thèses :
- Steeve Burnet (2008-2012) : Méthodes de résolution d'inclusions variationnelles sous hypothèses de stabilité. (Directeur de thèse : A. Piétrus)
Direction de mémoires de Master 2 :
- Michaël GAYDU (2006-2007)
- Guilloux BENOIT (2011-2012)
- Béatrice TABLON (2009-2010)
- Yvesner MARCELIN (2011-2012)
- Mario RUSTER (2010-2011)
- Christine MARIMOUTOU (2009-2010)
- Steeve BURNET (2007-2008)
- Cyril Etzol (2009-2010)
Enseignements
Liste non exhaustive de mes enseignements (celle-ci peut varier d'une année à l'autre).
- Analyse variationnelle (Master 2)
- Analyse fonctionnelle (Master 1)
- Analyse convexe (Master 1)
- Equations différentielles ordinaires (Master 1)
- Topologie et calcul différentiel (Licence 2)
- Géométrie (Licence 2)
Autres activités
Organisation de conférences :
- Président du comité d'organisation de la conférence internationale international conference on mathematics of optimization and decision (CIMODE 06, Avril 2006). Voir l'affiche de la conférence ici.
- Coordonateur scientifique de la conférence "Journées du GDR MOA" (Juin 2012)
Publications (23)
Article dans des revues
A topological convergence on power sets well-suited for set optimization. Michel H. Geoffroy. Geoffroy. A topological convergence on power sets well-suited for set optimization. Journal of Global Optimization, In press. ⟨hal-01891932⟩
A concept of inner prederivative for set-valued mappings and its applications. Michel H. Geoffroy, Yvesner MARCELIN. Geoffroy, Yvesner Marcelin. A concept of inner prederivative for set-valued mappings and its applications. ESAIM: Control, Optimisation and Calculus of Variations, 2018, 24 (3), pp.1059 - 1074. ⟨10.1051/cocv/2017024⟩. ⟨hal-01673090⟩
Article dans des revues
Inexact Newton Methods and Dennis--Moré Theorems for Nonsmooth Generalized Equations. Radek Cibulka, Asen L. Dontchev, Michel H. Geoffroy. Dontchev, Michel H. Geoffroy. Inexact Newton Methods and Dennis--Moré Theorems for Nonsmooth Generalized Equations
. SIAM Journal on Control and Optimization, 2015, 53 (2), pp.1003-1019. ⟨hal-01147931⟩
Article dans des revues
A Newton iteration for differentiable set-valued maps. Michaël GAYDU, Michel H. Geoffroy. Geoffroy. A Newton iteration for differentiable set-valued maps. Journal of Mathematical Analysis and Applications, 2013, 399, pp.213-224. ⟨hal-00750537⟩
Article dans des revues
Generalized differentiation and fixed points sets behaviors with respect to Fisher convergence. Michel H. Geoffroy, Géraldine Pascaline. Geoffroy, Géraldine Pascaline. Generalized differentiation and fixed points sets behaviors with respect to Fisher convergence. Journal of Mathematical Analysis and Applications, 2012, 387, pp.464-474. ⟨hal-00624139⟩
Article dans des revues
Metric subregularity of order q and the solving of inclusions. Michaël GAYDU, Michel H. Geoffroy, Célia JEAN-ALEXIS. Geoffroy, Célia Jean-Alexis. Metric subregularity of order q and the solving of inclusions. Central European Journal of Mathematics, 2011, 9 (1), pp.147-161. ⟨hal-00543141⟩
Article dans des revues
Tikhonov regularization of metrically regular inclusions. Michaël GAYDU, Michel H. Geoffroy. Geoffroy. Tikhonov regularization of metrically regular inclusions. Positivity, 2009, 13 (2), pp.385-398. ⟨hal-00493628⟩
An inertial proximal scheme for nonmonotone mappings. Michel H. Geoffroy. Geoffroy. An inertial proximal scheme for nonmonotone mappings. Journal of Mathematical Analysis and Applications, 2009, 350 (1), pp.147-156. ⟨hal-00507805⟩
A Hummel-Seebeck type method for variational inclusions. Michel H. Geoffroy, Alain PIETRUS, Célia JEAN-ALEXIS. Geoffroy, Alain Piétrus, Célia Jean-Alexis. A Hummel-Seebeck type method for variational inclusions. Optimization, 2009, 58 (4), pp.389-399. ⟨hal-00507808⟩
Stability of Mann's iterates under metric regularity. Michel H. Geoffroy. Geoffroy. Stability of Mann's iterates under metric regularity. Applied Mathematics and Computation, 2009, 215 (2), pp.686-694. ⟨hal-00507813⟩
Article dans des revues
Characterization of metric regularity of subdifferentials. Francisco J. Aragon Artacho, Michel H. Geoffroy. Aragon Artacho, Michel H. Geoffroy. Characterization of metric regularity of subdifferentials. Journal of Convex Analysis, 2008, 15 (2), pp.365-380. ⟨hal-00507803⟩
Iterative solving of variational inclusions under Wijsman perturbations. Michel H. Geoffroy, Alain PIETRUS, Célia JEAN-ALEXIS. Geoffroy, Alain Piétrus, Célia Jean-Alexis. Iterative solving of variational inclusions under Wijsman perturbations. Journal of Global Optimization, 2008, 42 (1), pp.111-120. ⟨hal-00507804⟩
Communications avec actes
A fast iterative scheme for variational inclusions. Michel H. Geoffroy, Alain PIETRUS. Geoffroy, Alain Piétrus. A fast iterative scheme for variational inclusions. Seventh AIMS International Conference on Dynamical Systems, Differential Equations and Applications, May 2008, Arlington, TX, United States. pp.250-258. ⟨hal-00507814⟩
Article dans des revues
Regularity properties of a cubically convergent scheme for generalized equations. Michel H. Geoffroy, Alain PIETRUS. Geoffroy, Alain Piétrus. Regularity properties of a cubically convergent scheme for generalized equations. Communications on Pure and Applied Mathematics, 2007, 6 (4), pp.983-996. ⟨hal-00507806⟩
Convergence of the proximal point method for metrically regular mappings. Francisco J. Aragon Artacho, Asen L. Dontchev, Michel H. Geoffroy. Aragon Artacho, Asen L. Dontchev, Michel H. Geoffroy. Convergence of the proximal point method for metrically regular mappings. ESAIM: Proceedings, 2007, 17, pp.1-8. ⟨hal-00507812⟩
Uniformity and inexact version of a proximal method for metrically regular mappings. Francisco J. Aragon Artacho, Michel H. Geoffroy. Aragon Artacho, Michel H. Geoffroy. Uniformity and inexact version of a proximal method for metrically regular mappings. Journal of Mathematical Analysis and Applications, 2007, 335 (1), pp.168-183. ⟨hal-00507816⟩
Ouvrages scientifiques
Control set-valued analysis and applications. Michel H. Geoffroy, Alain PIETRUS. Geoffroy, Alain Piétrus (Dir.). Control set-valued analysis and applications. ESAIM Proceedings, EDP Sciences, pp.166, 2007. ⟨hal-01066579⟩
Article dans des revues
Stability of a cubically convergent method for generalized equations. Michel H. Geoffroy, Alain PIETRUS, Saïd Hilout. Geoffroy, Alain Piétrus, Saïd Hilout. Stability of a cubically convergent method for generalized equations. Set-Valued Analysis, 2006, 14 (1), pp.41-54. ⟨hal-00508319⟩
Approximation of fixed points of metrically regular mappings. Michel H. Geoffroy. Geoffroy. Approximation of fixed points of metrically regular mappings. Numerical Functional Analysis and Applications, 2006, 27 (5-6), pp.565-581. ⟨hal-00507809⟩
Article dans des revues
Local convergence of some iterative methods for generalized equations. Michel H. Geoffroy, Alain PIETRUS. Geoffroy, Alain Piétrus. Local convergence of some iterative methods for generalized equations. Journal of Mathematical Analysis and Applications, 2004, 290 (2), pp.497-505. ⟨hal-00507829⟩
Article dans des revues
Stability of slopes and subdifferentials. Michel H. Geoffroy, Marc Lassonde. Geoffroy, Marc Lassonde. Stability of slopes and subdifferentials. Set-Valued Analysis, 2003, 11 (3), pp.257-271. ⟨hal-00507830⟩
Acceleration of convergence in Dontchev's iterative method for solving variational inclusions. Michel H. Geoffroy, Alain PIETRUS, Saïd Hilout. Geoffroy, Alain Piétrus, Saïd Hilout. Acceleration of convergence in Dontchev's iterative method for solving variational inclusions. Serdica Mathematical Journal, 2003, 29 (1), pp.45-54. ⟨hal-00508318⟩
Communications avec actes
On a convergence of lower semicontinuous functions linked with the graph convergence of their subdifferentials. Michel H. Geoffroy, Marc Lassonde. Geoffroy, Marc Lassonde. On a convergence of lower semicontinuous functions linked with the graph convergence of their subdifferentials. Constructive, experimental, and nonlinear analysis, 1999, Limoges, France. pp.93-109. ⟨hal-00508320⟩
A topological convergence on power sets well-suited for set optimization. Michel H. Geoffroy. Geoffroy. A topological convergence on power sets well-suited for set optimization. Journal of Global Optimization, In press. ⟨hal-01891932⟩ | |
A concept of inner prederivative for set-valued mappings and its applications. Michel H. Geoffroy, Yvesner MARCELIN. Geoffroy, Yvesner Marcelin. A concept of inner prederivative for set-valued mappings and its applications. ESAIM: Control, Optimisation and Calculus of Variations, 2018, 24 (3), pp.1059 - 1074. ⟨10.1051/cocv/2017024⟩. ⟨hal-01673090⟩ |
Inexact Newton Methods and Dennis--Moré Theorems for Nonsmooth Generalized Equations. Radek Cibulka, Asen L. Dontchev, Michel H. Geoffroy. Dontchev, Michel H. Geoffroy. Inexact Newton Methods and Dennis--Moré Theorems for Nonsmooth Generalized Equations . SIAM Journal on Control and Optimization, 2015, 53 (2), pp.1003-1019. ⟨hal-01147931⟩ |
A Newton iteration for differentiable set-valued maps. Michaël GAYDU, Michel H. Geoffroy. Geoffroy. A Newton iteration for differentiable set-valued maps. Journal of Mathematical Analysis and Applications, 2013, 399, pp.213-224. ⟨hal-00750537⟩ |
Generalized differentiation and fixed points sets behaviors with respect to Fisher convergence. Michel H. Geoffroy, Géraldine Pascaline. Geoffroy, Géraldine Pascaline. Generalized differentiation and fixed points sets behaviors with respect to Fisher convergence. Journal of Mathematical Analysis and Applications, 2012, 387, pp.464-474. ⟨hal-00624139⟩ |
Metric subregularity of order q and the solving of inclusions. Michaël GAYDU, Michel H. Geoffroy, Célia JEAN-ALEXIS. Geoffroy, Célia Jean-Alexis. Metric subregularity of order q and the solving of inclusions. Central European Journal of Mathematics, 2011, 9 (1), pp.147-161. ⟨hal-00543141⟩ |
Tikhonov regularization of metrically regular inclusions. Michaël GAYDU, Michel H. Geoffroy. Geoffroy. Tikhonov regularization of metrically regular inclusions. Positivity, 2009, 13 (2), pp.385-398. ⟨hal-00493628⟩ | |
An inertial proximal scheme for nonmonotone mappings. Michel H. Geoffroy. Geoffroy. An inertial proximal scheme for nonmonotone mappings. Journal of Mathematical Analysis and Applications, 2009, 350 (1), pp.147-156. ⟨hal-00507805⟩ | |
A Hummel-Seebeck type method for variational inclusions. Michel H. Geoffroy, Alain PIETRUS, Célia JEAN-ALEXIS. Geoffroy, Alain Piétrus, Célia Jean-Alexis. A Hummel-Seebeck type method for variational inclusions. Optimization, 2009, 58 (4), pp.389-399. ⟨hal-00507808⟩ | |
Stability of Mann's iterates under metric regularity. Michel H. Geoffroy. Geoffroy. Stability of Mann's iterates under metric regularity. Applied Mathematics and Computation, 2009, 215 (2), pp.686-694. ⟨hal-00507813⟩ |
Characterization of metric regularity of subdifferentials. Francisco J. Aragon Artacho, Michel H. Geoffroy. Aragon Artacho, Michel H. Geoffroy. Characterization of metric regularity of subdifferentials. Journal of Convex Analysis, 2008, 15 (2), pp.365-380. ⟨hal-00507803⟩ | |
Iterative solving of variational inclusions under Wijsman perturbations. Michel H. Geoffroy, Alain PIETRUS, Célia JEAN-ALEXIS. Geoffroy, Alain Piétrus, Célia Jean-Alexis. Iterative solving of variational inclusions under Wijsman perturbations. Journal of Global Optimization, 2008, 42 (1), pp.111-120. ⟨hal-00507804⟩ |
A fast iterative scheme for variational inclusions. Michel H. Geoffroy, Alain PIETRUS. Geoffroy, Alain Piétrus. A fast iterative scheme for variational inclusions. Seventh AIMS International Conference on Dynamical Systems, Differential Equations and Applications, May 2008, Arlington, TX, United States. pp.250-258. ⟨hal-00507814⟩ |
Regularity properties of a cubically convergent scheme for generalized equations. Michel H. Geoffroy, Alain PIETRUS. Geoffroy, Alain Piétrus. Regularity properties of a cubically convergent scheme for generalized equations. Communications on Pure and Applied Mathematics, 2007, 6 (4), pp.983-996. ⟨hal-00507806⟩ | |
Convergence of the proximal point method for metrically regular mappings. Francisco J. Aragon Artacho, Asen L. Dontchev, Michel H. Geoffroy. Aragon Artacho, Asen L. Dontchev, Michel H. Geoffroy. Convergence of the proximal point method for metrically regular mappings. ESAIM: Proceedings, 2007, 17, pp.1-8. ⟨hal-00507812⟩ | |
Uniformity and inexact version of a proximal method for metrically regular mappings. Francisco J. Aragon Artacho, Michel H. Geoffroy. Aragon Artacho, Michel H. Geoffroy. Uniformity and inexact version of a proximal method for metrically regular mappings. Journal of Mathematical Analysis and Applications, 2007, 335 (1), pp.168-183. ⟨hal-00507816⟩ |
Control set-valued analysis and applications. Michel H. Geoffroy, Alain PIETRUS. Geoffroy, Alain Piétrus (Dir.). Control set-valued analysis and applications. ESAIM Proceedings, EDP Sciences, pp.166, 2007. ⟨hal-01066579⟩ |
Stability of a cubically convergent method for generalized equations. Michel H. Geoffroy, Alain PIETRUS, Saïd Hilout. Geoffroy, Alain Piétrus, Saïd Hilout. Stability of a cubically convergent method for generalized equations. Set-Valued Analysis, 2006, 14 (1), pp.41-54. ⟨hal-00508319⟩ | |
Approximation of fixed points of metrically regular mappings. Michel H. Geoffroy. Geoffroy. Approximation of fixed points of metrically regular mappings. Numerical Functional Analysis and Applications, 2006, 27 (5-6), pp.565-581. ⟨hal-00507809⟩ |
Local convergence of some iterative methods for generalized equations. Michel H. Geoffroy, Alain PIETRUS. Geoffroy, Alain Piétrus. Local convergence of some iterative methods for generalized equations. Journal of Mathematical Analysis and Applications, 2004, 290 (2), pp.497-505. ⟨hal-00507829⟩ |
Stability of slopes and subdifferentials. Michel H. Geoffroy, Marc Lassonde. Geoffroy, Marc Lassonde. Stability of slopes and subdifferentials. Set-Valued Analysis, 2003, 11 (3), pp.257-271. ⟨hal-00507830⟩ | |
Acceleration of convergence in Dontchev's iterative method for solving variational inclusions. Michel H. Geoffroy, Alain PIETRUS, Saïd Hilout. Geoffroy, Alain Piétrus, Saïd Hilout. Acceleration of convergence in Dontchev's iterative method for solving variational inclusions. Serdica Mathematical Journal, 2003, 29 (1), pp.45-54. ⟨hal-00508318⟩ |
On a convergence of lower semicontinuous functions linked with the graph convergence of their subdifferentials. Michel H. Geoffroy, Marc Lassonde. Geoffroy, Marc Lassonde. On a convergence of lower semicontinuous functions linked with the graph convergence of their subdifferentials. Constructive, experimental, and nonlinear analysis, 1999, Limoges, France. pp.93-109. ⟨hal-00508320⟩ |