All Stories

  1. Solving Non-Monotone Inclusions Using Monotonicity of Pairs of Operators

    Article • Journal of Optimization Theory and Applications, July 2025, Springer Science + Business Media

    Professor Michel A Théra

  2. Beyond the Fermat Optimality Rules

    Article • SIAM Journal on Optimization, April 2025, Society for Industrial & Applied Mathematics (SIAM)

    Professor Michel A Théra

  3. Primal characterizations of stability of error bounds for semi-infinite convex constraint systems in Banach spaces

    Article • Optimization, October 2024, Taylor & Francis

    Professor Michel A Théra

  4. Subtransversality and Strong CHIP of Closed Sets in Asplund Spaces

    Article • Set-Valued and Variational Analysis, July 2024, Springer Science + Business Media

    Professor Michel A Théra

  5. Convergence of inertial prox-penalization and inertial forward–backward algorithms for solving monotone bilevel equilibrium problems

    Article • Optimization, April 2024, Taylor & Francis

    Professor Michel A Théra

  6. A Blowup Criteria of Smooth Solutions to the 3D Boussinesq Equations

    Article • Bulletin of the Brazilian Mathematical Society New Series, February 2024, Springer Science + Business Media

    Professor Michel A Théra

  7. Uniform Regularity Estimates for Three Dimensional Nonhomogeneous Incompressible Heat Conducting Navier–Stokes Flows

    Article • Vietnam Journal of Mathematics, January 2024, Springer Science + Business Media

    Professor Michel A Théra

  8. Locating Theorems of Differential Inclusions Governed by Maximally Monotone Operators

    Article • SIAM Journal on Optimization, October 2023, Society for Industrial & Applied Mathematics (SIAM)

    Professor Michel A Théra

  9. Obituary

    Article • Optimization, February 2023, Taylor & Francis

    Professor Michel A Théra

  10. On a new simple algorithm to compute the resolvents

    Article • Optimization Letters, December 2022, Springer Science + Business Media

    Professor Michel A THERA, Professor Michel A Théra

  11. Preface to the Special Issue Geometry, Optimization, and Convex Analysis

    Article • Set-Valued and Variational Analysis, December 2022, Springer Science + Business Media

    Professor Michel A Théra

  12. Miguel A. Goberna: “The Challenge was to Bring Spanish Research in Mathematics to Normality”

    Article • Set-Valued and Variational Analysis, September 2022, Springer Science + Business Media

    Professor Michel A Théra

  13. About Error Bounds in Metrizable Topological Vector Spaces

    Article • Set-Valued and Variational Analysis, September 2022, Springer Science + Business Media

    Professor Michel A THERA, Professor Michel A Théra

  14. Variational Analysis of Paraconvex Multifunctions

    Article • Journal of Optimization Theory and Applications, April 2022, Springer Science + Business Media

    Professor Michel A THERA, Professor Michel A Théra

  15. Characterizations of Stability of Error Bounds for Convex Inequality Constraint Systems

    Article • Open Journal of Mathematical Optimization, March 2022, Cellule MathDoc/CEDRAM

    Professor Michel A THERA, Professor Michel A Théra

  16. Logarithmically improved regularity criterion for the 3D Hall-MHD equations

    Article • Computational and Applied Mathematics, September 2021, Springer Science + Business Media

    Professor Michel A THERA, Professor Michel A Théra

  17. Strongly regular points of mappings

    Article • Fixed Point Theory and Algorithms for Sciences and Engineering, September 2021, Springer Science + Business Media

    Professor Michel A THERA, Professor Michel A Théra

  18. Enlargements of the Moreau–Rockafellar Subdifferential

    Article • Set-Valued and Variational Analysis, May 2021, Springer Science + Business Media

    Professor Michel A THERA, Professor Michel A Théra

  19. Franco Giannessi: “Every Mathematician Can do a True Theorem. Only a Genius Can Make an Important Mistake”

    Article • Journal of Optimization Theory and Applications, April 2021, Springer Science + Business Media

    Professor Michel A Théra

  20. Gateaux Differentiability Revisited

    Article • Applied Mathematics & Optimization, February 2021, Springer Science + Business Media

    Professor Michel A THERA, Professor Michel A Théra

  21. An Existence Result for Quasi-equilibrium Problems via Ekeland’s Variational Principle

    Article • Journal of Optimization Theory and Applications, October 2020, Springer Science + Business Media

    Professor Michel A THERA, Professor Michel A Théra

  22. Preface to Variational Analysis for Beginners

    Article • Set-Valued and Variational Analysis, October 2020, Springer Science + Business Media

    Professor Michel A Théra

  23. A new regularity criterion of weak solutions to the 3D micropolar fluid flows in terms of the pressure

    Article • Bollettino dell Unione Matematica Italiana, September 2020, Springer Science + Business Media

    Professor Michel A THERA, Professor Michel A Théra

  24. On the Regularity of Weak Solutions of the Boussinesq Equations in Besov Spaces

    Article • Vietnam Journal of Mathematics, June 2020, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  25. Orthogonality in locally convex spaces: Two nonlinear generalizations of Neumann's lemma

    Article • Journal of Mathematical Analysis and Applications, April 2020, Elsevier

    Professor Michel A Théra, Professor Michel A THERA

  26. Marco A. López, a Pioneer of Continuous Optimization in Spain

    Article • Vietnam Journal of Mathematics, March 2020, Springer Science + Business Media

    Professor Michel A Théra

  27. Directional Metric Pseudo Subregularity of Set-valued Mappings: a General Model

    Article • Set-Valued and Variational Analysis, November 2019, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  28. Metric Regularity Relative to a Cone

    Article • Vietnam Journal of Mathematics, July 2019, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  29. Preface to the Special Issue Dedicated to Professor Alexander Davidovich Ioffe

    Article • Vietnam Journal of Mathematics, July 2019, Springer Science + Business Media

    Professor Michel A Théra

  30. Preface: Special Issue on Recent Advances in Variational Calculus: Principles, Tools and Applications

    Article • Journal of Optimization Theory and Applications, May 2019, Springer Science + Business Media

    Professor Michel A Théra

  31. Alexander Davidovich Ioffe: a Life of Contributions

    Article • Vietnam Journal of Mathematics, May 2019, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  32. Preface

    Article • Set-Valued and Variational Analysis, May 2018, Springer Science + Business Media

    Professor Michel A Théra

  33. Preface

    Article • Set-Valued and Variational Analysis, February 2018, Springer Science + Business Media

    Professor Michel A Théra

  34. Ekeland's inverse function theorem in graded Fréchet spaces revisited for multifunctions

    Article • Journal of Mathematical Analysis and Applications, January 2018, Elsevier

    Professor Michel A Théra, Professor Michel A THERA

  35. Perturbation of error bounds

    Article • Mathematical Programming, March 2017, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  36. Homo Sapiens, Homo Ludens

    Article • Journal of Optimization Theory and Applications, December 2016, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  37. On extended versions of Dancs-Hegedüs-Medvegyev’s fixed-point theorem

    Article • Optimization, November 2015, Taylor & Francis

    Professor Michel A Théra

  38. Directional Metric Regularity of Multifunctions

    Article • Mathematics of Operations Research, October 2015, INFORMS

    Professor Michel A THERA, Professor Michel A Théra

  39. Erratum to: An Additive Subfamily of Enlargements of a Maximally Monotone Operator

    Article • Set-Valued and Variational Analysis, September 2015, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  40. Directional Hölder Metric Regularity

    Article • Journal of Optimization Theory and Applications, September 2015, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  41. An Additive Subfamily of Enlargements of a Maximally Monotone Operator

    Article • Set-Valued and Variational Analysis, August 2015, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  42. Nonsmooth Lyapunov pairs for differential inclusions governed by operators with nonempty interior domain

    Article • Mathematical Programming, August 2015, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  43. Preface

    Article • Mathematical Programming, September 2014, Springer Science + Business Media

    Professor Michel A Théra

  44. On One-Sided Lipschitz Stability of Set-Valued Contractions

    Article • Numerical Functional Analysis and Optimization, July 2014, Taylor & Francis

    Professor Michel A THERA, Professor Michel A Théra

  45. Calmness Modulus of Linear Semi-infinite Programs

    Article • SIAM Journal on Optimization, January 2014, Society for Industrial & Applied Mathematics (SIAM)

    Professor Michel A Théra, Professor Michel A THERA

  46. Metric Regularity of the Sum of Multifunctions and Applications

    Article • Journal of Optimization Theory and Applications, August 2013, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  47. Implicit multifunction theorems in complete metric spaces

    Article • Mathematical Programming, April 2013, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  48. Preface

    Article • Mathematical Programming, March 2013, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  49. Computational and Analytical Mathematics

    Article • January 2013, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  50. Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions

    Article • Nonlinear Analysis, February 2012, Elsevier

    Professor Michel A Théra, Professor Michel A THERA

  51. Foreword

    Article • Set-Valued and Variational Analysis, November 2010, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  52. Minimizing Irregular Convex Functions: Ulam Stability for Approximate Minima

    Article • Set-Valued and Variational Analysis, September 2010, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  53. Stability of Error Bounds for Convex Constraint Systems in Banach Spaces

    Article • SIAM Journal on Optimization, January 2010, Society for Industrial & Applied Mathematics (SIAM)

    Professor Michel A Théra, Professor Michel A THERA

  54. Stability of Error Bounds for Semi-infinite Convex Constraint Systems

    Article • SIAM Journal on Optimization, January 2010, Society for Industrial & Applied Mathematics (SIAM)

    Professor Michel A Théra, Professor Michel A THERA

  55. A note on an approximate lagrange multiplier rule

    Article • Mathematical Programming, November 2009, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  56. Periodic solutions of evolution variational inequalities — a method of guiding functions

    Article • Chinese Annals of Mathematics Series B, April 2009, Springer Science + Business Media

    Professor Michel A Théra

  57. A converse to the Lions-Stampacchia Theorem

    Article • ESAIM Control Optimisation and Calculus of Variations, August 2008, EDP Sciences

    Professor Michel A Théra

  58. Preface

    Article • Journal of Global Optimization, August 2008, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  59. Slice-Continuous Sets in Reflexive Banach Spaces: Some Complements

    Article • Set-Valued Analysis, March 2008, Springer Science + Business Media

    Professor Michel A Théra

  60. Error Bounds in Metric Spaces and Application to the Perturbation Stability of Metric Regularity

    Article • SIAM Journal on Optimization, January 2008, Society for Industrial & Applied Mathematics (SIAM)

    Professor Michel A Théra

  61. Existence Results for a Class of Periodic Evolution Variational Inequalities*

    Article • Chinese Annals of Mathematics Series B, November 2007, Springer Science + Business Media

    Professor Michel A Théra

  62. On the necessity of the Moreau-Rockafellar-Robinson qualification condition in Banach spaces

    Article • Mathematical Programming, August 2007, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  63. A Continuation Method for a Class of Periodic Evolution Variational Inequalities

    Article • August 2007, World Scientific Pub Co Pte Lt

    Professor Michel A Théra

  64. Error bounds for systems of lower semicontinuous functions in Asplund spaces

    Article • Mathematical Programming, June 2007, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  65. Optimal boundedness criteria for extended-real-valued functions

    Article • Optimization, June 2007, Taylor & Francis

    Professor Michel A Théra

  66. Semicontinuity of vector-valued mappings

    Article • Optimization, February 2007, Taylor & Francis

    Professor Michel A Théra

  67. Boundary Half-Strips and the Strong CHIP

    Article • SIAM Journal on Optimization, January 2007, Society for Industrial & Applied Mathematics (SIAM)

    Professor Michel A Théra

  68. On Directed Sets and their Suprema

    Article • Positivity, October 2006, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  69. Lower Semicontinuous Regularization for Vector-Valued Mappings

    Article • Journal of Global Optimization, June 2006, Springer Science + Business Media

    Professor Michel A Théra

  70. Stability in frictional unilateral elasticity revisited: an application of the theory of semi-coercive variational inequalities

    Article • January 2006, American Institute of Physics

    Professor Michel A Théra

  71. Error bounds for convex differentiable inequality systems in Banach spaces

    Article • Mathematical Programming, August 2005, Springer Science + Business Media

    Professor Michel A Théra

  72. Slice-continuous sets in reflexive Banach spaces: convex constrained optimization and strict convex separation

    Article • Journal of Functional Analysis, June 2005, Elsevier

    Professor Michel A Théra

  73. A converse to the Eidelheit theorem in real Hilbert spaces

    Article • Bulletin des Sciences Mathématiques, May 2005, Elsevier

    Professor Michel A Théra

  74. Article • Proceedings of the American Mathematical Society, October 2004, American Mathematical Society (AMS)

    Professor Michel A Théra

  75. Well-positioned Closed Convex Sets and Well-positioned Closed Convex Functions

    Article • Journal of Global Optimization, August 2004, Springer Science + Business Media

    Professor Michel A Théra

  76. Error Bounds and Implicit Multifunction Theorem in Smooth Banach Spaces and Applications to Optimization

    Article • Set-Valued Analysis, March 2004, Springer Science + Business Media

    Professor Michel A Théra

  77. Graph-distance convergence and uniform local boundedness of monotone mappings

    Article • Proceedings of the American Mathematical Society, December 2003, American Mathematical Society (AMS)

    Professor Michel A Théra

  78. On the closedness of the algebraic difference of closed convex sets

    Article • Journal de Mathématiques Pures et Appliquées, September 2003, Elsevier

    Professor Michel A Théra

  79. Variational composition of a monotone operator and a linear mapping with applications to elliptic PDEs with singular coefficients

    Article • Journal of Functional Analysis, February 2003, Elsevier

    Professor Michel A Théra

  80. Article • Proceedings of the American Mathematical Society, August 2002, American Mathematical Society (AMS)

    Professor Michel A Théra

  81. On the Dieudonné Theorem in Reflexive Banach Spaces

    Article • Cybernetics and Systems Analysis, May 2002, Springer Science + Business Media

    Professor Michel A Théra

  82. Extensions of Fréchet ϵ-Subdifferential Calculus and Applications

    Article • Journal of Mathematical Analysis and Applications, April 2002, Elsevier

    Professor Michel A Théra

  83. Enlargements and sums of monotone operators

    Article • Nonlinear Analysis, February 2002, Elsevier

    Professor Michel A Théra

  84. STABILITY OF THE SOLUTION SET OF NON-COERCIVE VARIATIONAL INEQUALITIES

    Article • Communications in Contemporary Mathematics, February 2002, World Scientific Pub Co Pte Lt

    Professor Michel A Théra

  85. A Fuzzy Necessary Optimality Condition for Non-Lipschitz Optimization in Asplund Spaces

    Article • SIAM Journal on Optimization, January 2002, Society for Industrial & Applied Mathematics (SIAM)

    Professor Michel A Théra

  86. Stabilité de l'ensemble des solutions d'une inéquation variationnelle non coercive

    Article • Comptes Rendus de l Académie des Sciences - Series I - Mathematics, September 2001, Elsevier

    Professor Michel A Théra

  87. Ergodic Convergence to a Zero of the Extended Sum of two Maximal Monotone Operators

    Article • January 2001, Elsevier

    Professor Michel A Théra

  88. Article • Set-Valued Analysis, January 2001, Springer Science + Business Media

    Professor Michel A Théra

  89. Augmented Lagrangians for General Side Constraints

    Article • January 2000, Springer Science + Business Media

    Professor Michel A THERA, Professor Michel A Théra

  90. Generalized sums of monotone operators

    Article • Comptes Rendus de l Académie des Sciences - Series I - Mathematics, December 1999, Elsevier

    Professor Michel A Théra

  91. Ill-posed Variational Problems and Regularization Techniques

    Article • January 1999, Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA

  92. Proximal and Dynamical Approaches to Equilibrium Problems

    Article • January 1999, Springer Science + Business Media

    Professor Michel A Théra

  93. Variational and Extended Sums of Monotone Operators

    Article • January 1999, Springer Science + Business Media

    Professor Michel A Théra

  94. ε-Subdifferential and ε-monotonicity

    Article • Nonlinear Analysis, July 1998, Elsevier

    Professor Michel A Théra

  95. Critical points for nonsmooth energy functions and applications

    Article • Nonlinear Analysis, June 1998, Elsevier

    Professor Michel A Théra

  96. On Limiting Fréchet ε-Subdifferentials

    Article • January 1998, Springer Science + Business Media

    Professor Michel A Théra

  97. Recession mappings and noncoercive variational inequalities

    Article • Nonlinear Analysis, May 1996, Elsevier

    Professor Michel A Théra

  98. Semicoercive variational hemivariational inequalities

    Article • Journal of Global Optimization, June 1995, Springer Science + Business Media

    Professor Michel A Théra

  99. Recession methods in monotone variational hemivariational inequalities

    Article • Topological Methods in Nonlinear Analysis, June 1995, Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University

    Professor Michel A THERA, Professor Michel A Théra

  100. Generalised second-order derivatives of convex functions in reflexive Banach spaces

    Article • Bulletin of the Australian Mathematical Society, February 1995, Cambridge University Press

    Professor Michel A Théra

  101. Attouch-Wets Convergence and a Differential Operator for Convex Functions

    Article • Proceedings of the American Mathematical Society, November 1994, JSTOR

    Professor Michel A Théra

  102. Derivatives with Support and Applications

    Article • Mathematics of Operations Research, August 1994, INFORMS

    Professor Michel A Théra

  103. Attouch-Wets convergence and a differential operator for convex functions

    Article • Proceedings of the American Mathematical Society, March 1994, American Mathematical Society (AMS)

    Professor Michel A Théra

  104. Preface

    Article • Set-Valued Analysis, January 1994, Springer Science + Business Media

    Professor Michel A Théra

  105. Equivalents of Ekeland's principle

    Article • Bulletin of the Australian Mathematical Society, December 1993, Cambridge University Press

    Professor Michel A Théra

  106. A new type of convergence with application to Hammerstein's equation

    Article • Nonlinear Analysis, April 1993, Elsevier

    Professor Michel A Théra

  107. Sandwich theorems for semicontinuous operators

    Article • Canadian Mathematical Bulletin, December 1992, Canadian Mathematical Society

    Professor Michel A Théra

  108. Set Convergences In Nonlinear Analysis and Optimization (Abstracts) (Convergences en Analyse Multivoque et Unilaterale (Resumes de Conferences),

    Article • June 1992, Defense Technical Information Center (DTIC)

    Professor Michel A THERA, Professor Michel A Théra

  109. Some global results for eigenvalue problems governed by a variational inequality

    Article • Rendiconti del Seminario Matematico e Fisico di Milano, December 1991, Springer Science + Business Media

    Professor Michel A Théra

  110. About the Equation $k*u^2=u$

    Article • Journal of Integral Equations and Applications, June 1991, Rocky Mountain Mathematics Consortium

    Professor Michel A Théra

  111. Existence results for the nonlinear complementarity problem and applications to nonlinear analysis

    Article • Journal of Mathematical Analysis and Applications, January 1991, Elsevier

    Professor Michel A Théra

  112. Complementarity problem and the existence of the post-critical equilibrium state of a thin elastic plate

    Article • Journal of Optimization Theory and Applications, August 1988, Springer Science + Business Media

    Professor Michel A Théra

  113. Applications sous-linéaires à valeurs dans un espace de fonctions continues

    Article • Annali di Matematica Pura ed Applicata (1923 -), December 1984, Springer Science + Business Media

    Professor Michel A Théra

  114. Conjugate convex operators

    Article • Journal of Mathematical Analysis and Applications, September 1984, Elsevier

    Professor Michel A Théra

  115. Semi-continuous mappings in general topology

    Article • Archiv der Mathematik, December 1982, Springer Science + Business Media

    Professor Michel A Théra

  116. Subdifferential calculus for convex operators

    Article • Journal of Mathematical Analysis and Applications, March 1981, Elsevier

    Professor Michel A Théra, Professor Michel A THERA

  117. Continuous Sets and Non-Attaining Fuctionals in Reflexive Banach Spaces

    Article • Springer Science + Business Media

    Professor Michel A Théra, Professor Michel A THERA