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

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
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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-02472257v2
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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-01313160v1

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

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
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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-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
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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-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
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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-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

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

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

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
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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-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
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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-00201296v1
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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-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

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
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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-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

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

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

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
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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-00068253v1
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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-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

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

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
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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-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

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

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-00933912v1

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
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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-03538724v2
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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-04674985v1
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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-04137497v1
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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-03808047v1
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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-03550615v1
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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-03810134v1
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Enlargements of the Moreau-Rockafellar Subdifferential

Malek Abbasi , Alexander y Kruger , Michel Théra

2021

Pré-publication, Document de travail hal-02961001v3
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About error bounds in metrizable topological vector spaces

Malek Abbasi , Michel Théra

2021

Pré-publication, Document de travail hal-03435205v1
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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-03290866v1
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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-03290804v1
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Strong regular points of mappings

Malek Abbasi , Michel Théra

2021

Pré-publication, Document de travail hal-03196405v3
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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-02960981v1
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Gateaux differentiability revisited

Malek Abbasi , Alexander y Kruger , Michel Théra

2020

Pré-publication, Document de travail hal-02963967v1
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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-02650953v2
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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-02651149v1
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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-02651131v1
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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-02307877v1
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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-02307887v1
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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-02405604v1
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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-02405555v1
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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-01938054v1
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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-01893002v1
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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-01385509v2
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Perturbation of error bounds

Alexander Kruger , Marco Antonio Lopez Cerda , Michel Théra

2016

Pré-publication, Document de travail hal-01239623v1
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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-01183273v1
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Directional Hölder Metric Regularity

van Ngai Huynh , Huu Tron Nguyen , Michel Théra

2015

Pré-publication, Document de travail hal-01183274v1
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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-01180721v2