MT

Michel Thera

89
Documents

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

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Publications

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-04814940 v1
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SET-VALUED ORTHOGONALITY AND NEARNESS

Annamaria Barbagallo , Octavian-Emil Ernst , Michel Théra
AAPP | Physical, Mathematical, and Natural Sciences, 2020
Article dans une revue hal-02472257 v2
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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-01313160 v1

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-01314663 v1

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-01314677 v1

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-00933319 v1

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-01158963 v1

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-00933890 v1
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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-01313105 v1

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-00933872 v1
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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-00586942 v1

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-00934927 v1

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-00586945 v1

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-00586935 v1

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-00586939 v1

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-00435748 v1

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-00336376 v1

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-00356498 v1

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-00356508 v1
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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-01900177 v1

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-02386109 v1

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-00336377 v1

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-00336389 v1

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-00336370 v1
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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-00465593 v1

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-00130393 v1
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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-00201296 v1
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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-00819400 v1

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-00201292 v1

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-00201289 v1

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-00201291 v1
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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-00450955 v1

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-00129241 v1

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-00465596 v1

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-00068998 v1

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-00069038 v1

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-00068959 v1
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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-00068258 v1
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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-00068253 v1

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-00068957 v1

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-02386144 v1

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-02386146 v1

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-00068954 v1

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-02386145 v1
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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-00068956 v1

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-02386147 v1

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-00778164 v1

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-00773204 v1

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-00773198 v1

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-04431225 v1

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-04431231 v1

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-02405643 v1

Computational and Analytical Mathematics

David H. Bailey , Heinz H. Bauschke , Peter Borwein , Frank Garvan , Michel Théra et 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-00933912 v1

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-02386143 v1

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-00069051 v1
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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-03538724 v2
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Explicit Convergence Rate of The Proximal Point Algorithm under R-Continuity

Ba Khiet Le , Michel Théra
2024
Pré-publication, Document de travail hal-04674985 v1

Beyond the Fermat optimality rules

Sorin-Mihai Grad , Malek Abbasi , Michel Théra
2023
Pré-publication, Document de travail hal-04431904 v1
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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-04137497 v1
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On a New Simple Algorithm to Compute the Resolvents

B. K. Le. , Michel Théra
2022
Pré-publication, Document de travail hal-03550615 v1
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Locating Theorems of Differential Inclusions Governed by Maximally Monotone Operators *

Minh N Dao , Hassan Saoud , Michel Théra
2022
Pré-publication, Document de travail hal-03810134 v1
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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-03808047 v1
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Variational Analysis of Paraconvex Multifunctions

van Ngai Huynh , Huu Tron Nguyen , van Vu Nguyen , Michel Théra
2021
Pré-publication, Document de travail hal-03290866 v1
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About error bounds in metrizable topological vector spaces

Malek Abbasi , Michel Théra
2021
Pré-publication, Document de travail hal-03435205 v1
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Enlargements of the Moreau-Rockafellar Subdifferential

Malek Abbasi , Alexander y Kruger , Michel Théra
2021
Pré-publication, Document de travail hal-02961001 v3
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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-03290804 v1
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Strong regular points of mappings

Malek Abbasi , Michel Théra
2021
Pré-publication, Document de travail hal-03196405 v3
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Gateaux differentiability revisited

Malek Abbasi , Alexander y Kruger , Michel Théra
2020
Pré-publication, Document de travail hal-02963967 v1
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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-02650953 v2
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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-02651131 v1
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Logarithmically improved regularity criterion for the 3D Hall-MHD equations

Sadek Gala , Michel Théra
2020
Pré-publication, Document de travail hal-02651149 v1
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PREFACE TO VARIATIONAL ANALYSIS FOR BEGINNERS

Annamaria Barbagallo , Radu Ioan Bot , Claudia Sagastizábal , Michel Théra
2020
Pré-publication, Document de travail hal-02960981 v1
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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-02307877 v1
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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-02405604 v1
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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-02307887 v1
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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-02405555 v1
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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-01893002 v1
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Metric regularity relative to a cone

van Ngai Huynh , Huu Tron · Nguyen , Michel Thera
2018
Pré-publication, Document de travail hal-01938054 v1
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Ekeland's inverse function theorem in graded Fréchet spaces revisited for multifunctions

van Ngai Huynh , Michel Théra
2017
Pré-publication, Document de travail hal-01385509 v2
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Perturbation of error bounds

Alexander Kruger , Marco Antonio Lopez Cerda , Michel Théra
2016
Pré-publication, Document de travail hal-01239623 v1
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On Extended Versions of Dancs- Hegedüs-Medvegyev's Fixed Point Theorem

Truong Bao , Michel Théra
2015
Pré-publication, Document de travail hal-01183273 v1
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Directional Hölder Metric Regularity

van Ngai Huynh , Huu Tron Nguyen , Michel Théra
2015
Pré-publication, Document de travail hal-01183274 v1
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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-01180721 v2