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D-Index & Metrics

Mathematics

D-Index
33
Citations
4625
World Ranking
3046
National Ranking
180

Overview

Lionel Thibault is affiliated with the University of Montpellier in France. Their research primarily spans the fields of Mathematics, Computer Science, and Engineering, with a particular focus on subfields such as Computational Theory and Mathematics, Control and Systems Engineering, Applied Mathematics, Numerical Analysis, and Geometry and Topology.

Themes central to their work include Optimization and Variational Analysis, Stability and Controllability of Differential Equations, Nonlinear Differential Equations Analysis, Advanced Optimization Algorithms Research, Numerical methods in inverse problems, Functional Equations Stability Results, and Fixed Point Theorems Analysis.

Thibault has contributed multiple papers to recognized academic journals and venues. Notable recent publications include:

  • "Determining functions by slopes," 2022, Communications in Contemporary Mathematics
  • "Nonconvex Integro-Differential Sweeping Process with Applications," 2022, SIAM Journal on Control and Optimization
  • "On the Discretization of Truncated Integro-Differential Sweeping Process and Optimal Control," 2022, Journal of Optimization Theory and Applications
  • "Prox-Regular Integro-Differential Sweeping Process," 2024, Journal of Optimization Theory and Applications
  • "New metric properties for prox-regular sets," 2020, Mathematical Programming

In addition to journal articles, Thibault has authored a book titled Unilateral Variational Analysis in Banach Spaces, published in 2022 by World Scientific.

Thibault frequently collaborates with several researchers, including:

  • Tahar Haddad
  • Abderrahim Bouach
  • Sarra Gaouir
  • Florent Nacry
  • Samir Adly

The major venues in which Thibault publishes include Set-Valued and Variational Analysis, Journal of Optimization Theory and Applications, arXiv (Cornell University), SIAM Journal on Control and Optimization, and Mathematical Programming.

Best Publications

  • Local differentiability of distance functions

    R. Poliquin;R. Rockafellar;L. Thibault

  • Sweeping process with regular and nonregular sets

    Lionel Thibault

  • Relaxation of an optimal control problem involving a perturbed sweeping process

    J. F. Edmond;L. Thibault

  • On various notions of regularity of sets in nonsmooth analysis

    M. Bounkhel;L. Thibault

  • Characterization of lower semicontinuous convex functions

    R. Correa;A. Jofré;L. Thibault

  • Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities

    Samir Adly;Tahar Haddad;Lionel Thibault

  • BV solutions of nonconvex sweeping process differential inclusion with perturbation

    Jean Fenel Edmond;Lionel Thibault

  • Integration of Subdifferentials of Lower Semicontinuous Functions on Banach Spaces

    Unknown

  • Sub differential Monotonicity as Characterization of Convex Functions

    Rafael Correa;Alejandro Jofrè;Lionel Thibault

  • On generalized differentials and subdifferentials of Lipschitz vector-valued functions

    Unknown

  • Subdifferentials of compactly lipschitzian vector-valued functions

    Unknown

  • Approximations and Metric Regularity in Mathematical Programming in Banach Space

    Unknown

  • Prox-regular functions in Hilbert spaces

    Unknown

  • Sequential Convex Subdifferential Calculus and Sequential Lagrange Multipliers

    Unknown

  • Coderivatives of multivalued mappings, locally compact cones and metric regularity

    A. Jourani;L. Thibault

  • Metric regularity and subdifferential calculus in Banach spaces

    A. Jourani;L. Thibault

  • Verifiable conditions for openness and regularity of multivalued mappings in Banach spaces

    A. Jourani;L. Thibault

  • Partial extensions of Attouch’s theorem with applications to proto-derivatives of subgradient mappings

    Adam B. Levy;Rene A. Poliquin;Lionel Thibault

  • Metric regularity for strongly compactly Lipschitzian mappings

    A. Jourani;L. Thibault

  • Prox-regular sets and epigraphs in uniformly convex Banach spaces: Various regularities and other properties

    Frédéric Bernard;Lionel Thibault;Nadia Zlateva

  • Approximate subdifferential and metric regularity: the finite-dimensional case

    A. Jourani;L. Thibault

  • Characterizations of Prox-Regular Sets in Uniformly Convex Banach Spaces

    Lionel Thibault;Nadia Zlateva

  • Extensions Of Subdifferential Calculus Rules in Banach Spaces

    A. Jourani;L. Thibault

  • Tangent cones and quasi-interiorly tangent cones to multifunctions

    Lionel Thibault

  • Preservation of Prox-Regularity of Sets with Applications to Constrained Optimization

    Samir Adly;Florent Nacry;Lionel Thibault

  • Differential properties of the Moreau envelope

    Abderrahim Jourani;Lionel Thibault;Dariusz Zagrodny

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