Michel Thera

Identifiants chercheurs

IdHAL :

abimansi

ORCID :

0000-0001-9022-6406

IdRef :

085216291

VIAF :

61615378

ISNI :

000000010907328X

Présentation

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).

Publications

Article dans une revue (50)

Beyond the Fermat optimality rules Malek Abbasi,Sorin-Mihai Grad,Michel Théra SIAM Journal on Optimization, 2025, 35 (2), pp.818-841. ⟨10.1137/23M1578036⟩ Article dans une revue hal-04431904v1
Convergence of inertial prox-penalization and inertial forward–backward algorithms for solving monotone bilevel equilibrium problems A. Balhag,Z. Mazgouri,M. Théra Optimization, 2024, pp.1-45. ⟨10.1080/02331934.2024.2341934⟩ Article dans une revue hal-04814940v1
SET-VALUED ORTHOGONALITY AND NEARNESS Annamaria Barbagallo,Octavian-Emil Ernst,Michel Théra AAPP | Physical, Mathematical, and Natural Sciences, 2020 Article dans une revue hal-02472257v2
An additive subfamily of enlargements of a maximally monotone operator Regina Burachik,Juan Enrique Martínez-Legaz,Mahboubeh Rezaie,Michel Théra Set-Valued and Variational Analysis, 2015, 23 (4), pp.643-665. ⟨10.1007/s11228-015-0340-9⟩ Article dans une revue hal-01314663v1
Nonsmooth Lyapunov pairs for differential inclusions governed by operators with nonempty interior domain Samir Adly,Abderrahim Hantoute,Michel Théra Mathematical Programming, 2015, pp.1-26. ⟨10.1007/s10107-015-0938-6⟩ Article dans une revue hal-01313160v1
Directional metric regularity of multifunctions van Ngai Huynh,Michel Théra Mathematics of Operations Research, 2015, 40 (4), pp.969-991. ⟨10.1287/moor.2014.0705⟩ Article dans une revue hal-01314677v1
Calmness modulus of linear semi-infinite programs M.J. Canovas,Alexander Kruger,M.A. López,J. Parra,Michel Théra SIAM Journal on Optimization, 2014, 24 (1), pp.29-48. ⟨10.1137/130907008⟩ Article dans une revue hal-00933319v1
Modern convex analysis Patrick Louis Combettes,Jean-Baptiste Hiriart-Urruty,Michel Théra Mathematical Programming, 2014, Math. Program., Ser. B, 148 (1-2), pdf file 2. 1-4. ⟨10.1007/s10107-014-0815-8⟩ Article dans une revue hal-01158963v1
Metric Regularity of the Sum of Multifunctions and Applications Huynh van Ngai,Huu Tron Nguyen,Michel Théra Journal of Optimization Theory and Applications, 2014, 160 (2), pp.355-390. ⟨10.1007/s10957-013-0385-6⟩ Article dans une revue hal-00933890v1
On One-Sided Lipschitz Stability of Set-Valued Contractions Samir Adly,Asen L Dontchev,Michel Théra Numerical Functional Analysis and Optimization, 2014, 35 (7-9), pp.837-850. ⟨10.1080/01630563.2014.895760⟩ Article dans une revue hal-01313105v1
Implicit Multifunction Theorems In Complete Metric Spaces Huynh van Ngai,Huu Tron Nguyen,Michel Théra Mathematical Programming, 2013, 139 (1-2), pp.301-326. ⟨10.1007/s10107-013-0673-9⟩ Article dans une revue istex hal-00933872v1
Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions Samir Adly,Abdelrrahim Hantoute,Michel Théra Nonlinear Analysis: Theory, Methods and Applications, 2012, 75 (3), pp.985-1008. ⟨10.1016/j.na.2010.11.009⟩ Article dans une revue hal-00586942v1
Slopes of Multifunctions and Extensions of Metric Regularity Huynh van Ngai,Alexander Kruger,Michel Théra Vietnam Journal of Mathematics, 2012, 40 (2-3), pp.355-369 Article dans une revue hal-00934927v1
Stability of Error Bounds for Convex Constraint Systems in Banach Spaces Alexander Kruger,Huynh van Ngai,Michel Théra SIAM Journal on Optimization, 2010, 20 (6), pp.3280-3296. ⟨10.1137/100782206⟩ Article dans une revue hal-00586935v1
Minimizing Irregular Convex Functions: Ulam Stability for Approximate Minima Emil Ernst,Michel Théra Set-Valued and Variational Analysis, 2010, 18 (3-4), pp.447-466. ⟨10.1007/s11228-010-0153-9⟩ Article dans une revue istex hal-00586945v1
Stability of Error Bounds for Semi-infinite Convex Constraint Systems Huynh van Ngai,Alexander Kruger,Michel Théra SIAM Journal on Optimization, 2010, 20 (4), pp.2080-2096. ⟨10.1137/090767819⟩ Article dans une revue hal-00586939v1
A converse to the Lions-Stampacchia Theorem Emil Ernst,Michel Théra ESAIM: Control, Optimisation and Calculus of Variations, 2009, 15 (4), pp.810-817. ⟨10.1051/cocv:2008054⟩ Article dans une revue hal-00336376v1
On the approximate Lagrange Multiplier Rule Michel Théra,Joydeep Dutta Mathematical Programming, 2009, ⟨10.1007/s10107-009-0320-7⟩ Article dans une revue istex hal-00435748v1
Periodic solutions of Evolution Variational Inequalities : a method of guiding functions Samir Adly,Daniel Goeleven,Michel Théra Chinese Annals of Mathematics - Series B, 2009, 30 (3), pp.261-272 Article dans une revue hal-01900177v1
Error bounds for systems of lower semicontinuous functions in Asplund spaces Huynh van Ngai,Michel Théra Mathematical Programming, 2009, 116 (1-2), pp.397-427 Article dans une revue hal-00356508v1
On the necessity of the Moreau-Rockafellar-Robinson qualification condition in Banach spaces Emil Ernst,Michel Théra Mathematical Programming, 2009, 117 (1-2), pp.149-161 Article dans une revue hal-00356498v1
Periodic solutions of evolution variational inequalities−-a method of guiding functions Samir Adly,Daniel Goeleven,Michel Théra Chin. Ann. Math. Ser. B, 2009, 30 (3), pp.261--272. ⟨10.1007/s11401-007-0540-1⟩ Article dans une revue hal-02386109v1
Slice-continuous sets in reflexive Banach spaces: some complements Emil Ernst,Michel Théra Set-Valued Analysis, 2008, 16 (2-3), pp.307-318 Article dans une revue hal-00336377v1
Error bounds in metric spaces and application to the perturbation stability of metric regularity Huynh van Ngai,Michel Théra SIAM Journal on Optimization, 2008, 19 (1), pp.1-20 Article dans une revue hal-00336389v1
A lower semicontinuous regularization for set-valued maps and its applications Mohamed Ait-Mansour,Marius Durea,Michel Théra Journal of Convex Analysis, 2008, 15 (3), pp.473-484 Article dans une revue hal-00336370v1
On directed sets and their suprema Mohamed Ait-Mansour,Nicolae Popovici,Michel Théra Positivity, 2007, 11 (1), pp.155-169 Article dans une revue hal-00130393v1
A Continuation Method for a Class of Periodic Evolution Variational Inequalities Samir Adly,Daniel Goeleven,Michel Théra Series in Contemporary Applied Mathematics, 2007, 8, pp.1-28. ⟨10.1142/9789812709356_0001⟩ Article dans une revue hal-00465593v1
Semicontinuity of vector-valued mappings Mohamed Ait-Mansour,Christian Malivert,Michel Théra Optimization, 2007, 56 (1-2), pp.241-252 Article dans une revue hal-00201292v1
Existence results for a class of periodic evolution variational inequalities Samir Adly,Dominique Goeleven,Michel Théra Chinese Annals of Mathematics - Series B, 2007, 28B (6), pp.629-650. ⟨10.1007/s11401-007-0180-5⟩ Article dans une revue istex hal-00201296v1
Boundary Half-Strips and the Strong CHIP Emil Ernst,Michel Théra SIAM Journal on Optimization, 2007, 18 (3), pp.834-852. ⟨10.1137/060658047⟩ Article dans une revue hal-00819400v1
Optimal boundedness criteria for extended-real-valued functions Emil Ernst,Michel Théra,Michel Volle Optimization, 2007, 56 (3), pp.323-338 Article dans une revue hal-00201291v1
φ-regular functions in Asplund spaces Huynh van Ngai,Michel Théra Control and Cybernetics, 2007, 36 (3), pp.755-774 Article dans une revue hal-00201289v1
A nonsymmetric linear complementarity problem to solve a quasistatic rolling frictional contact problem Khalid Addi,Samir Adly,Daniel Goeleven,Michel Théra Journal of Nonlinear and Convex Analysis, 2006, 7 (3), pp.315-324 Article dans une revue hal-00450955v1
Global maximum of a convex function: necessary and sufficient conditions Emil Ernst,Michel Théra Journal of Convex Analysis, 2006, 13, p.687-694 n°3-4 Article dans une revue hal-00129241v1
Asymptotic Limit Sums of Monotone Operators Vaithilingam Jeyakumar,Michel Théra,Zhiyou Wu Pacific journal of optimization, 2006, 2 (3), pp.591-598 Article dans une revue hal-00465596v1
Error bounds for convex differentiable inequality systems in Banach spaces Michel Théra,Huynh van Ngai Mathematical Programming, 2005, 104, pp.465-482 Article dans une revue hal-00069038v1
A converse to the Eidelheit theorem in real Hilbert spaces Emil Ernst,Michel Théra Bulletin des Sciences Mathématiques, 2005, 129, pp.381-397 Article dans une revue hal-00068998v1
Slice-continuous sets in reflexive Banach spaces Emil Ernst,Michel Théra,Constantin Zalinescu Journal of Functional Analysis, 2005, 223/1, pp.179-203 Article dans une revue hal-00068959v1
Norm Closure of the Barrier Cone in Normed Linear Spaces Samir Adly,Emil Ernst,Michel Théra Proceedings of the American Mathematical Society, 2004, 132, pp.2911-2915. ⟨10.1090/S0002-9939-04-07492-1⟩ Article dans une revue hal-00068253v1
Well-positioned Closed Convex Sets and Well-positioned Closed Convex Functions Samir Adly,Emil Ernst,Michel Théra Journal of Global Optimization, 2004, 29 (4), pp.337-351. ⟨10.1023/B:JOGO.0000047907.66385.5d⟩ Article dans une revue hal-00068258v1
Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization Michel Théra,Huynh van Ngai Set Valued Analysis, 2004, 12, pp.195-223 Article dans une revue hal-00068957v1
On the closedness of the algebraic difference of closed convex sets Samir Adly,Emil Ernst,Michel Théra Journal de Mathématiques Pures et Appliquées, 2003, 82 (9), pp.1219--1249. ⟨10.1016/S0021-7824(03)00024-2⟩ Article dans une revue hal-02386144v1
Stability of the solution set of non-coercive variational inequalities Samir Adly,Michel Théra,Emil Ernst Commun. Contemp. Math., 2002, 4 (1), pp.145--160. ⟨10.1142/S0219199702000579⟩ Article dans une revue hal-02386146v1
A fuzzy necessary optimality condition for non-Lipschitz optimization in Asplund spaces Michel Théra,Huynh van Ngai SIAM Journal on Optimization, 2002, 12, pp.656-668 Article dans une revue hal-00068954v1
On the Dieudonne theorem in reflexive Banach spaces S. Adly,E. Ernst,M. Thera Kibernet. Sistem. Anal., 2002, 3, pp.34--39, 189. ⟨10.1023/A:1020352325026⟩ Article dans une revue istex hal-02386145v1
A characterization of convex and semicoercive functionals Samir Adly,Emil Ernst,Michel Théra Journal of Convex Analysis, 2001, 8, pp.127-148 Article dans une revue hal-00068956v1
Stabilité de l'ensemble des solutions d'une inéquation variationnelle non coercive Samir Adly,Emil Ernst,Michel Théra Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2001, 333 (5), pp.409--414. ⟨10.1016/S0764-4442(01)01957-7⟩ Article dans une revue istex hal-02386147v1
Ergodic convergence to a zero of the extended sum of two maximal monotone operators Abdellatif Moudafi,Michel Théra Studies in Computational Mathematics, 2001, 8, pp.369-379. ⟨10.1016/S1570-579X(01)80022-7⟩ Article dans une revue hal-00778164v1
Proximal and dynamical approaches to equilibrium problems Abdellatif Moudafi,Michel Théra Ill-posed variational problems and regularization techniques, 1998, 477, pp.187-201 Article dans une revue hal-00773204v1
Combining the auxiliary problem principle with approximation methods Abdellatif Moudafi,Michel Théra Lecture notes in economics and mathematical systems, 1997, 452, pp.196-213 Article dans une revue hal-00773198v1

Communication dans un congrès (3)

Beyond the Fermat Optimality Rules Sorin-Mihai Grad,Malek Abbasi,Michel Théra International Conference on Applied and Pure Mathematics - ICAPM 2023, Nov 2023, Iasi (Roumanie), Romania Communication dans un congrès hal-04431225v1
Beyond the Fermat Optimality Rules Sorin-Mihai Grad,Malek Abbasi,Michel Théra PGMO Days 2023, Nov 2023, Palaiseau (91), France Communication dans un congrès hal-04431231v1
Variational Analysis, PDEs and Mathematical Economics Tribute to Antonino Maugeri Michel Thera Variational Analysis, PDEs and Mathematical Economics, Sep 2019, Messina, Italy Communication dans un congrès hal-02405643v1

Ouvrages (1)

Computational and Analytical Mathematics David H. Bailey,Heinz H. Bauschke,Peter Borwein,Frank Garvan,Michel Théraet al. Springer, 453p. (Vol.50), 2013, 978-1-4614-7620-7 (Print) 978-1-4614-7621-4 (Online). ⟨10.1007/978-1-4614-7621-4⟩ Ouvrages hal-00933912v1

Chapitre d'ouvrage (2)

Stability in frictional unilateral elasticity revisited: an application of the theory of semi-coercive variational inequalities Samir Adly,Emil Ernst,Michel Théra Mathematical analysis and applications, 835, Amer. Inst. Phys., Melville, NY, pp.1--11, 2006, AIP Conf. Proc., ⟨10.1063/1.2205031⟩ Chapitre d'ouvrage hal-02386143v1
Continuous sets and non-attaining functionals in reflexive Banach spaces Emil Ernst,Michel Théra Giannessi F. Maugeri A. Variational Analysis and Applications, Springer, pp.343-357, 2005, Nonconvex Optimization and its Applications Chapitre d'ouvrage hal-00069051v1

Autre publication scientifique (2)

Préface (Mathematical Programming, série B) Heinz H. Bauschke,Michel Théra,Henry Wolkowicz 2013, pp.1-3. ⟨10.1007/s10107-013-0656-x⟩ Autre publication scientifique hal-00933918v1
Foreword : Set-Valued and Variational Analysis Jean-Pierre Raymond,Michel Théra 2010, pp.236-236. ⟨10.1007/s11228-010-0165-5⟩ Autre publication scientifique istex hal-00934933v1

Pré-publication, Document de travail (27)

Characterizations of Stability of Error Bounds for Convex Inequality Constraint Systems Zhou Wei,Michel Théra,Jen-Chih Yao 2024 Pré-publication, Document de travail hal-03538724v2
Explicit Convergence Rate of The Proximal Point Algorithm under R-Continuity Ba Khiet Le,Michel Théra 2024 Pré-publication, Document de travail hal-04674985v1
Convergence of inertial prox-penalization and inertial forward-backward algorithms for solving bilevel monotone equilibrium problems A Balhag,Z Mazgouri,M Théra 2023 Pré-publication, Document de travail hal-04137497v1
On a New Simple Algorithm to Compute the Resolvents B. K. Le.,Michel Théra 2022 Pré-publication, Document de travail hal-03550615v1
Locating Theorems of Differential Inclusions Governed by Maximally Monotone Operators * Minh N Dao,Hassan Saoud,Michel Théra 2022 Pré-publication, Document de travail hal-03810134v1
Weak and strong convergence of an inertial proximal method for solving bilevel monotone equilibrium problems * A Balhag,Z Mazgouri,Michel Théra 2022 Pré-publication, Document de travail hal-03808047v1
Enlargements of the Moreau-Rockafellar Subdifferential Malek Abbasi,Alexander y Kruger,Michel Théra 2021 Pré-publication, Document de travail hal-02961001v3
About error bounds in metrizable topological vector spaces Malek Abbasi,Michel Théra 2021 Pré-publication, Document de travail hal-03435205v1
Characterizations for Stability of Error Bounds for Convex Inequalities Constraint Systems Zhou Wei,Michel Théra,Jen-Chih Yao 2021 Pré-publication, Document de travail hal-03290804v1
Variational Analysis of Paraconvex Multifunctions van Ngai Huynh,Huu Tron Nguyen,van Vu Nguyen,Michel Théra 2021 Pré-publication, Document de travail hal-03290866v1
Strong regular points of mappings Malek Abbasi,Michel Théra 2021 Pré-publication, Document de travail hal-03196405v3
Gateaux differentiability revisited Malek Abbasi,Alexander y Kruger,Michel Théra 2020 Pré-publication, Document de travail hal-02963967v1
An existence result for quasi-equilibrium problems via Ekeland's variational principle John Cotrina,Michel Théra,Javier Zúñiga 2020 Pré-publication, Document de travail hal-02650953v2
Logarithmically improved regularity criterion for the 3D Hall-MHD equations Sadek Gala,Michel Théra 2020 Pré-publication, Document de travail hal-02651149v1
A new regularity criterion for weak solutions to the 3D micropolar fluid flows in terms of the pressure Sadek Gala,Maria Alessandra Ragusa,Michel Thera 2020 Pré-publication, Document de travail hal-02651131v1
PREFACE TO VARIATIONAL ANALYSIS FOR BEGINNERS Annamaria Barbagallo,Radu Ioan Bot,Claudia Sagastizábal,Michel Théra 2020 Pré-publication, Document de travail hal-02960981v1
Orthogonality in locally convex spaces: two nonlinear generalizations of Neumann's Lemma Octavian-Emil Ernst Annamaria Barbagallo,Emil Ernst,Michel Thera 2019 Pré-publication, Document de travail hal-02307877v1
Marco A. López, a Pioneer of Continuous Optimization in Spain M. J. Cánovas,A. Y. Kruger,H.X. Phu,Michel Théra 2019 Pré-publication, Document de travail hal-02405604v1
Directional Metric Pseudo Subregularity of Set-valued Mappings: a General Model van Ngai Huynh,Huu Tron Nguyen,van Vu Nguyen,Michel Thera 2019 Pré-publication, Document de travail hal-02307887v1
On the regularity of weak solutions of the Boussinesq equations in Besov spaces A. Barbagallo,S. Gala,M A Ragusa,Michel Thera 2019 Pré-publication, Document de travail hal-02405555v1
Metric regularity relative to a cone van Ngai Huynh,Huu Tron · Nguyen,Michel Thera 2018 Pré-publication, Document de travail hal-01938054v1
Directional Metric Pseudo Subregularity of Set-valued Mappings: a General Model Huynh Van Ngai,Nguyen Huu Tron,Nguyen Van Vu,Michel Théra 2018 Pré-publication, Document de travail hal-01893002v1
Ekeland's inverse function theorem in graded Fréchet spaces revisited for multifunctions van Ngai Huynh,Michel Théra 2017 Pré-publication, Document de travail hal-01385509v2
Perturbation of error bounds Alexander Kruger,Marco Antonio Lopez Cerda,Michel Théra 2016 Pré-publication, Document de travail hal-01239623v1
On Extended Versions of Dancs- Hegedüs-Medvegyev's Fixed Point Theorem Truong Bao,Michel Théra 2015 Pré-publication, Document de travail hal-01183273v1
Directional Hölder Metric Regularity van Ngai Huynh,Huu Tron Nguyen,Michel Théra 2015 Pré-publication, Document de travail hal-01183274v1
An additive subfamily of enlargements of a maximally monotone operator Regina Burachik,Juan Enrique Martínez-Legaz,Mahboubeh Rezaie,Michel Théra 2015 Pré-publication, Document de travail hal-01180721v2

Rapport (4)

Metric Regularity of the Sum of Multifunctions and Applications. Huynh van Ngai,Huu Tron Nguyen,Michel Théra 2013 Rapport hal-00819047v1
Local nonsmooth Lyapunov pairs for first-order evolution differential inclusions Samir Adly,Abderrahim Hantoute,Michel Théra 2013 Rapport hal-00822994v1
Directional metric regularity of multifunctions Huynh van Ngai,Michel Théra 2013 Rapport hal-00818475v1
Ergodic Convergence to a Zero of the Extended Sum Abdellatif Moudafi,Michel Théra 2000 Rapport hal-00783905v1