Michel Th�ra

Projet MOD - D�partement DMI

Universit� de Limoges et XLIM

Michel Th�ra

2004- Professor de classe Exceptionnelle, Universit� de Limoges
1995-2004 Professeur de premi�re classe, Universit� de Limoges
1989--1995 Professeur de seconde classe, Universit� de Limoges
2010 Visiting professor, Universidad de Alicante
1997 (1/4-30/4) Professore visitatore, Universit� di Pisa
1992 (1/4-30/4) Professore visitatore, Universit� di Milano
1990 (1/4-30/6) Visiting professor, University of California Davis
1987 (1/7-30/7) Visiting professor class 2, University of California Santa Barbara
1987 (1/7-30/9) Visiting Associate professor, California State University Los Angeles

Domaines d'int�r�ts

Analyse convexe et non convexe, optimisation

In�quations variationnelles et probl�mes de la m�canique unilat�rale

Analyse variationnelle et sommes g�n�ralis�es d'op�rateurs


Choix de publications r�centes

Sur le th�me des bornes d'erreurs

V. H. Ngai, M. Th�ra, Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization, Set-Valued Anal. 12 (2004), no. 1-2, 195--223.
Huynh Van Ngai, M. Th�ra, Error bounds for convex differentiable inequality systems, Mathematical Programming, 104, 2-3, 465 - 482 (2005).
Ngai, V.H., M. Th�ra, Error Bounds in Metric Spaces and Application to the Perturbation Stability of Metric Regularity, SIAM J. Optim. 19 (2008), no. 1, 1--20.
Ngai, V.H., M. Th�ra, Error bounds for systems of lower semicontinuous functions in Asplund spaces, Math. Program. 116 (2009), no. 1-2, Ser. B, 397--427.
Huynh, V.N. Kruger A., M. Th�ra, Stability of Error Bounds for Semi-infinite Convex Constraint Systems SIAM J. Optim. Volume 20, Issue 4, pp. 2080-2096 (2010).

Sur le th�me des in�quations variationneles

Ernst E., M. Th�ra, A converse to the Lions-Stampacchia Theorem, ESAIM: Control, Optimisation and Calculus of Variations, Published Online: 20 August 2008 DOI: 10.1051/cocv:2008054, Vol. 15 No. 4 (2009), 810-817.
E. Ernst, M. Th�ra, C. Zalinescu, Constrained optimization and strict convex separation, Slice-continuous sets in reflexive Banach spaces: convex constrained optimization and strict convex separation, Journal of Functional Analysis, Vol 223/1 pp 179-203 (2005).
S. Adly, E. Ernst, M. Th�ra Well-positioned closed convex sets and well-positioned closed convex functions, J. Global Optim. 29 (2004), no. 4, 337--351.
S. Adly, E. Ernst, M. Th�ra, On the closedness of the algebraic difference of closed convex sets, J. Math. Pures Appl. (9) 82 (2003), no. 9, 1219--1249.
S. Adly, E. Ernst, M. Th�ra, Stability of Non-coercive Variational Inequalities, Communications in Contemporary, Mathematics, Vol 4, 1, 145--160, 2002
S. Adly, E. Ernst, M. Th�ra, A Characterization of Convex Semicoercive Functionals .Journal of Convex Analysis, Vol. 8, 1, 127-148, 2001
S. Adly, G. Buttazo, M. Th�ra, Critical Points for Nonsmooth Energy Functions and Applications, Nonlinear Anal. 32 (1998), no. 6, 711--718.
S. Adly, D. Goeleven, M. Th�ra, Recession mappings and noncoercive variational inequalities, Journal of Nonlinear Analysis, Theory Methods and Applications, (1996), Vol 26, N� 9, 1573-1663

Sur le th�me des sommes g�n�ralis�es d'op�rateurs et de l'analyse variationnelle

T. Pennanen, R. T. Rockafellar, M. Th�ra, Graphical convergence of monotone operators, Proceedings of the AMS, 130, 2261--2269, 2002
T. Pennanen, J. Revalski, M. Th�ra, Graph-distance convergence and uniform local boundedness of monotone mappings. Proc. Amer. Math. Soc. 131 (2003), no. 12, 3721--3729 (electronic)
T. Pennanen, J. Revalski, M. Th�ra,Variational composition of a monotone operator with a linear mapping , J. Funct. Anal. 198 (2003), no. 1, 84--105
J. Revalski, M. Th�ra, Enlargements and sums of Monotones Operators Nonlinear Analysis, Theory, Methods and Applications, 48, 505-519, 2002
H. Attouch, J. B. Baillon, M. Th�ra, Sum of maximal monotone operators revisited. The variational sum, (1994), Journal of Convex Analysis, (1), 1, 1-29
G. Beer, M. Th�ra, Attouch-Wets convergence and the Borwein variational principle, (1994) Proc. of the AAMS (122), 3, 851-85.

Sur le th�me analyse non lisse et optimisation et de l'optimisation:

V. H. Ngai, M. Th�ra, On necessary conditions for nonlipschitz optimization problems Siam J. on Optimization, 12, 3, 656-668 2002
H. Attouch, M. Th�ra, A duality principle for the sum of two operators, (1996) Journal of Convex Analysis, 3, 1, 1-24
A. Moudafi M. Th�ra, Finding the zero of a sum of two maximal monotone operators, Journal of Optimization Theory and Applications, Vol 94, 2, 425-448, 1997.
E. Ernst, M. Th�ra, Minimizing irregular convex functions: Ulam stability for approximate minima, Set-Valued and Variational Analysis DOI: 10.1007/s11228-010-0153-9.
Dutta J., Pattanaik S. R., M. Th�ra, On the approximate Lagrange Multiplier Rule. Mathematical Programming, serie B, DOI: 10.1007/s10107-009-0320-7.

Activit�s �ditoriales pr�sentes

Positivity, Springer
Journal of Nonlinear and Convex Analysis, Yokohama Publishers
Journal of Convex Analysis, Heldelman- Verlag
Journal of Global Optimization, Springer
Pacific Journal of Optimization, Yokohama Publishers
Optimization, Taylor and Francis
Journal of Industrial and Management Optimization (JIMO)
Set-Valued and Variational Analysis
Journal of Optimization Theory and Applications (JOTA)

Encadrement de la recherche

Fr�d�ric Muttin (2010), Enseignant-Chercheur � l’EIGSI (Ecole d'Ing�nieurs en G�nie des Syst�mes Industriels) de La Rochelle
Nguyen Dinh (2010), Associate professor, International University Ho Chi Minh Ville
Huynh Van Ngai (2007), Assistant Universit� de Quynhon, Vietnam
Paul Armand (2007), Ma�tre de Conf�rences � Limoges
Samir Adly (2005), Ma�tre de Conf�rences � Limoges
Jo�l Benoist (2005), Ma�tre de Conf�rences � Marseille
Emil Ernst (2002), Ma�tre de Conf�rences � Marseille
Daniel Goeleven (1997), Professeur Universit� de la R�union
James-Louis Ndoutoume (1995) Professeur Institut Africain d'Informatique, Libreville
Jean Guillerme (1993), Professeur Universit� de Limoges

Th�ses nouveau r�gimes

Daniel Goeleven (1993), Actuellement : Professeur, Universit� de la R�union
Nicolae Popovici (1995), Actuellement : Assistant, Universit� de Cluj (Roumania)
Samir Adly (1995), Actuellement : Ma�tre de Conf�rences, Universit� de Limoges
Maria Nisipeanu (1997), Actuellement : Professeur de lyc�e
Christophe Durousseau, Actuellement : Enseignant-Chercheur � l'Ecole d'Ing�nieurs 3IL
Cristina Stamate (co-tutelle avec Th. Precupanu IASI), Actuellement : Assistant IASI
Huyn Van Ngai (co-tutelle avec Dinh The Luc) ) Actuellement : Assistant Professor Pedagogical University of Quynon, Vietnam
Hassan Saoud (co-direction avec Samir Adly)
Nguyen Huu Tron
Le Ba Khiet (co-direction avec Samir Adly)
Trang Ta Thy Hyuen (co-direction avec Samir Adly)

Emil Ernst Bucharest
Teemu Pennanen Helsinki
Laura Scrimali
Mohamed Ait Mansour Marrakech
Marius Durea Iasi, Romania
Rolando Garciga Otero, UFRJ
Abderahim Hantoute

Principales activit�s administratives

2001-                        Vice-Pr�sident, Universit� de Limoges, UNILIM
2001-2004               Vice-Pr�sident de la Soci�t� de Math�matiques Appliqu�es et Industrielles SMAI
2001-2004                Pr�sident de la Soci�t� de Math�matiques Appliqu�es et Industrielles
2001- 2008               Membre du Conseil Scientifique , Universit� de Limoges
2009 -                        Membre �lu du Conseil d'Admnistration de la SMAI
                                    Membre �lu du Conseil d'Administration du CIMPA
2001-2004                Membre du Conseil d'Administration du Centre International de rencontres math�matiques CIRM
                                    Membre �lu du CNFM
1999-2003                Membre �lu du Conseil National des Univesrit�s

Organisation de colloques et de cours d'�t�

2011    co-organisateur avec Maria Josefa Canovas III Alicante-Elche-Limoges Meeting on Optimization, , june 23-25 2011Centro Internacional de encuento Matematicos, Castro Urdiales (Cantabria, Spain), June 23-25 2011.
2011   co-organisateur avec Heinz Bauschke et Henry Wolkowicz Computational and Analytical Mathematics Conference, in honour of Jonathan Borwein’s 60th Birthday , May 16–20, 2011, the IRMACS Centre, Simon Fraser University, Burnaby, BC, Canada.
2010     Co-organisateur Quatri�mes journ�es du groupe MODE, Limoges,
2006    CIMPA School on Optimization and Control, Centro Internacional de encuento Matematicos, Castro Urdiales (Cantabria, Spain), august 28 - september 8, 2006.
2003    IX Workshop on Well-Posedness in Optimization, CIRM, Marseille-Luminy, september   8-12 , 2003.
1999   Constructive, Experimental and Nonlinear Analysis in honour of J. Borwein, Limoges, september 1999.
1998    Co-organisateur avec R. Correa, R. Cominetti, J.-B. Hiriart-Urruty et A. Jofr�, Second European School in Optimisation, et Fifth French-Chilean Conference on Optimization, Santiago de Chile, December, 10-19,   1998.
1998    Co-organisateur avec R. Tichatschke, Workshop on ll-Posed Variational Problems and Regularization Techniques, University of Trier, september 4-5, 1998
1996     Co-organisateur Quatri�mes journ�es du groupe MODE, Limoges, march 21-23, 1996.
1992     Co-organisateur avec H. Attouch, Workshop on Convergences in Nonlinear Analysis and Optimization, CIRM, Marseille-Luminy, june, 22-26,   1992.
1989    Co-organisateur avec J.-B. Baillon, Workshop on Fixed Point Theory and Applications, CIRM, Marseille-Luminy, june, 2-9, 1989.

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