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Michel THERA is a professor emeritus of mathematics in  the laboratory XLIM from the University of Limoges.  He also has been in charge  of the research group on optimisation and Vice-President  of the university.  His research focuses on variational analysis, convex analysis, continuous optimization, monotone operator theory and  the interaction among these fields of research, and their applications. He has published more than 110 articles in international journals.  He serves as editor for several journals on continuous optimization and has been responsible  for several international research programs until his retirement. He is now Professor Emeritus from the University of Limoges and Adjunct professor from Federation University (Australia).


Article dans une revue42 documents

  • Van Ngai Huynh, Michel Théra. Directional metric regularity of multifunctions. Mathematics of Operations Research, INFORMS, 2015, 40 (4), pp.969-991. <10.1287/moor.2014.0705>. <hal-01314677>
  • Samir Adly, Abderrahim Hantoute, Michel Théra. Nonsmooth Lyapunov pairs for differential inclusions governed by operators with nonempty interior domain. Mathematical Programming B, Springer, 2015, pp.1-26. <10.1007/s10107-015-0938-6>. <hal-01313160>
  • Regina Burachik, Juan Enrique Martínez-Legaz, Mahboubeh Rezaie, Michel Théra. An additive subfamily of enlargements of a maximally monotone operator. Set-Valued and Variational Analysis, Springer, 2015, 23 (4), pp.643-665. <10.1007/s11228-015-0340-9>. <hal-01314663>
  • Samir Adly, Asen L. Dontchev, Michel Théra. On One-Sided Lipschitz Stability of Set-Valued Contractions. Numerical Functional Analysis and Optimization, Taylor & Francis, 2014, 35 (7-9), pp.837-850. <10.1080/01630563.2014.895760>. <hal-01313105>
  • Huynh Van Ngai, Huu Tron Nguyen, Michel Théra. Metric Regularity of the Sum of Multifunctions and Applications. Journal of Optimization Theory and Applications, Springer Verlag, 2014, 160 (2), pp.355-390. <10.1007/s10957-013-0385-6>. <hal-00933890>
  • M.J. Canovas, Alexander Kruger, M.A. López, J. Parra, Michel Théra. Calmness modulus of linear semi-infinite programs. SIAM Journal on Optimization, Society for Industrial and Applied Mathematics, 2014, 24 (1), pp.29-48. <10.1137/130907008>. <hal-00933319>
  • Patrick Louis Combettes, Jean-Baptiste Hiriart-Urruty, Michel Théra. Modern convex analysis. Mathematical Programming B, Springer, 2014, Math. Program., Ser. B, 148 (1-2), pdf file 2. 1-4. <10.1007/s10107-014-0815-8>. <hal-01158963>
  • Huynh Van Ngai, Huu Tron Nguyen, Michel Théra. Implicit Multifunction Theorems In Complete Metric Spaces. Mathematical Programming, Springer Verlag, 2013, 139 (1-2), pp.301-326. <10.1007/s10107-013-0673-9>. <hal-00933872>
  • Samir Adly, Abdelrrahim Hantoute, Michel Théra. Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2012, 75 (3), pp.985-1008. <10.1016/j.na.2010.11.009>. <hal-00586942>
  • Huynh Van Ngai, Alexander Kruger, Michel Théra. Slopes of Multifunctions and Extensions of Metric Regularity. Vietnam Journal of Mathematics, 2012, 40 (2-3), pp.355-369. <hal-00934927>
  • Alexander Kruger, Huynh Van Ngai, Michel Théra. Stability of Error Bounds for Convex Constraint Systems in Banach Spaces. SIAM Journal on Optimization, Society for Industrial and Applied Mathematics, 2010, 20 (6), pp.3280-3296. <10.1137/100782206>. <hal-00586935>
  • Huynh Van Ngai, Alexander Kruger, Michel Théra. Stability of Error Bounds for Semi-infinite Convex Constraint Systems. SIAM Journal on Optimization, Society for Industrial and Applied Mathematics, 2010, 20 (4), pp.2080-2096. <hal-00586939>
  • Emil Ernst, Michel Théra. Minimizing Irregular Convex Functions: Ulam Stability for Approximate Minima. Set-Valued and Variational Analysis, Springer, 2010, 18 (3-4), pp.447-466. <10.1007/s11228-010-0153-9>. <hal-00586945>
  • Emil Ernst, Michel Théra. On the necessity of the Moreau-Rockafellar-Robinson qualification condition in Banach spaces. Mathematical Programming B, Springer, 2009, 117 (1-2), pp.149-161. <hal-00356498>
  • Emil Ernst, Michel Théra. A converse to the Lions-Stampacchia Theorem. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2009, 15 (4), pp.810-817. <hal-00336376>
  • Samir Adly, Michel Théra, Daniel Goeleven. Periodic solutions of Evolution Variational Inequalities : a method of guiding functions. Chinese Annals of Mathematics - Series B, Springer Verlag, 2009, 30 (3), pp.261-272. <hal-00435716>
  • Michel Théra, Joydeep Dutta. On the approximate Lagrange Multiplier Rule. Mathematical Programming / Mathematical Programming Series B, 2009, <10.1007/s10107-009-0320-7>. <hal-00435748>
  • Huynh Van Ngai, Michel Théra. Error bounds for systems of lower semicontinuous functions in Asplund spaces. Mathematical Programming B, Springer, 2009, 116 (1-2), pp.397-427. <hal-00356508>
  • Emil Ernst, Michel Théra. Slice-continuous sets in reflexive Banach spaces: some complements. Set-Valued Analysis, Springer Verlag, 2008, 16 (2-3), pp.307-318. <hal-00336377>
  • Huynh Van Ngai, Michel Théra. Error bounds in metric spaces and application to the perturbation stability of metric regularity. SIAM Journal on Optimization, Society for Industrial and Applied Mathematics, 2008, 19 (1), pp.1-20. <hal-00336389>
  • Mohamed Ait-Mansour, Marius Durea, Michel Théra. A lower semicontinuous regularization for set-valued maps and its applications. Journal of Convex Analysis, Heldermann, 2008, 15 (3), pp.473-484. <hal-00336370>
  • Emil Ernst, Michel Théra. Boundary Half-Strips and the Strong CHIP. SIAM Journal on Optimization, Society for Industrial and Applied Mathematics, 2007, 18 (3), pp.834-852. <10.1137/060658047>. <hal-00819400>
  • Samir Adly, Daniel Goeleven, Michel Théra. A Continuation Method for a Class of Periodic Evolution Variational Inequalities. Series in Contemporary Appled Mathematics, 2007, 8, pp.1-28. <hal-00465593>
  • Emil Ernst, Michel Théra, Michel Volle. Optimal boundedness criteria for extended-real-valued functions. Optimization, Taylor & Francis, 2007, 56 (3), pp.323-338. <hal-00201291>
  • Huynh Van Ngai, Michel Théra. φ-regular functions in Asplund spaces. Control and Cybernetics, Polish Academy of Sciences, 2007, 36 (3), pp.755-774. <hal-00201289>
  • Samir Adly, Dominique Goeleven, Michel Théra. Existence results for a class of periodic evolution variational inequalities. Chinese Annals of Mathematics - Series B, Springer Verlag, 2007, 28B (6), pp.629-650. <hal-00201296>
  • Mohamed Ait-Mansour, Nicolae Popovici, Michel Théra. On directed sets and their suprema. Positivity, Springer Verlag, 2007, 11 (1), pp.155-169. <hal-00130393>
  • Mohamed Ait-Mansour, Christian Malivert, Michel Théra. Semicontinuity of vector-valued mappings. Optimization, Taylor & Francis, 2007, 56 (1-2), pp.241-252. <hal-00201292>
  • Vaithilingam Jeyakumar, Michel Théra, Zhiyou Wu. Asymptotic Limit Sums of Monotone Operators. Pacific journal of optimization, Yokohama Publishers, 2006, 2 (3), pp.591-598. <hal-00465596>
  • Samir Adly, Khalid Addi, Daniel Goeleven, Michel Théra. A nonsymmetric linear complementarity problem to solve a quasistatic rolling frictional contact problem. Journal of Nonlinear and Convex Analysis, Yokohama, 2006, 7 (3), pp.315-324. <hal-00450955>
  • Emil Ernst, Michel Théra. Global maximum of a convex function: necessary and sufficient conditions. Journal of Convex Analysis, Heldermann, 2006, 13, p.687-694 n°3-4. <hal-00129241>
  • Michel Théra, Huynh Van Ngai. Error bounds for convex differentiable inequality systems in Banach spaces. Mathematical Programming, Springer Verlag, 2005, 104, pp.465-482. <hal-00069038>
  • Emil Ernst, Michel Théra, Constantin Zalinescu. Slice-continuous sets in reflexive Banach spaces. Journal of Functional Analysis, Elsevier, 2005, 223/1, pp.179-203. <hal-00068959>
  • Emil Ernst, Michel Théra. A converse to the Eidelheit theorem in real Hilbert spaces. Bulletin des Sciences Mathématiques, Elsevier, 2005, 129, pp.381-397. <hal-00068998>
  • Michel Théra, Huynh Van Ngai. Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization. Set Valued Analysis, 2004, 12, pp.195-223. <hal-00068957>
  • Samir Adly, Emil Ernst, Michel Théra. Well-positioned Closed Convex Sets and Well-positioned Closed Convex Functions. Journal of Global Optimization, Springer Verlag, 2004, 29, pp.337-351. <hal-00068258>
  • Samir Adly, Emil Ernst, Michel Théra. On the Closedness of the Algebraic difference of Closed Convex Sets. Journal de Mathématiques Pures et Appliquées, Elsevier, 2003, 82, pp.1219-1249. <hal-00068242>
  • Michel Théra, Huynh Van Ngai. A fuzzy necessary optimality condition for non-Lipschitz optimization in Asplund spaces. SIAM Journal on Optimization, Society for Industrial and Applied Mathematics, 2002, 12, pp.656-668. <hal-00068954>
  • Samir Adly, Emil Ernst, Michel Théra. A characterization of convex and semicoercive functionals. Journal of Convex Analysis, Heldermann, 2001, 8, pp.127-148. <hal-00068956>
  • Abdellatif Moudafi, Michel Théra. Ergodic convergence to a zero of the extended sum of two maximal monotone operators. Studies in Computational Mathematics, 2001, 8, pp.369-379. <10.1016/S1570-579X(01)80022-7>. <hal-00778164>
  • Abdellatif Moudafi, Michel Théra. Proximal and dynamical approaches to equilibrium problems. Ill-posed variational problems and regularization techniques, 1998, 477, pp.187-201. <hal-00773204>
  • Abdellatif Moudafi, Michel Théra. Combining the auxiliary problem principle with approximation methods. Lecture notes in economics and mathematical systems, 1997, 452, pp.196-213. <hal-00773198>

Communication dans un congrès1 document

  • Samir Adly, Emil Ernst, Michel Théra. Norm Closure of the Barrier Cone in Normed Linear Spaces. Proceeding of the American Mathematical Society, 2004, France. AMS, pp.2911-2915, 2004. <hal-00068253>

Chapitre d'ouvrage1 document

  • Emil Ernst, Michel Théra. Continuous sets and non-attaining functionals in reflexive Banach spaces. Giannessi F. Maugeri A. Variational Analysis and Applications, Springer, pp.343-357, 2005, Nonconvex Optimization and its Applications. <hal-00069051>

Direction d'ouvrage, Proceedings1 document

  • David Bailey, Heinz H. Bauschke, Peter Borwein, Frank Garvan, Michel Théra, et al.. Computational and Analytical Mathematics. Springer, 453p. (Vol.50), 2013, 978-1-4614-7620-7 (Print) 978-1-4614-7621-4 (Online). <10.1007/978-1-4614-7621-4>. <hal-00933912>

Autre publication2 documents

Pré-publication, Document de travail5 documents

  • Alexander Kruger, Marco Antonio Lopez Cerda, Michel Théra. Perturbation of error bounds . 2016. <hal-01239623>
  • Van Ngai Huynh, Michel Théra. Ekeland's inverse function theorem in graded Fréchet spaces revisited for multifunctions. 2016. <hal-01385509>
  • Truong Bao, Michel Thera. On Extended Versions of Dancs- Hegedüs-Medvegyev's Fixed Point Theorem. 2015. <hal-01183273>
  • Van Ngai Huynh, Huu Tron Nguyen, Michel Théra. Directional Hölder Metric Regularity. 2015. <hal-01183274>
  • Regina Burachik, Juan Enrique Martínez-Legaz, Mahboubeh Rezaie, Michel Théra. An additive subfamily of enlargements of a maximally monotone operator. 2015. <hal-01180721v2>

Rapport4 documents

  • Samir Adly, Abderrahim Hantoute, Michel Thera. Local nonsmooth Lyapunov pairs for first-order evolution differential inclusions. 2013. <hal-00822994>
  • Huynh Van Ngai, Huu Tron Nguyen, Michel Thera. Metric Regularity of the Sum of Multifunctions and Applications.. 2013. <hal-00819047>
  • Huynh Van Ngai, Michel Théra. Directional metric regularity of multifunctions. 2013. <hal-00818475>
  • Abdellatif Moudafi, Michel Théra. Ergodic Convergence to a Zero of the Extended Sum. 2000. <hal-00783905>