All Stories

  1. On the convergence of an inertial proximal algorithm with a Tikhonov regularization term

    Article • Communications in Nonlinear Science and Numerical Simulation, October 2025, Elsevier

    Dr Szilard Csaba Laszlo

  2. Solving convex optimization problems via a second order dynamical system with implicit Hessian damping and Tikhonov regularization

    Article • Computational Optimization and Applications, October 2024, Springer Science + Business Media

    Dr Szilard Csaba Laszlo

  3. A Nesterov Type Algorithm with Double Tikhonov Regularization: Fast Convergence of the Function Values and Strong Convergence to the Minimal Norm Solution

    Article • Applied Mathematics & Optimization, July 2024, Springer Science + Business Media

    Dr Szilard Csaba Laszlo

  4. Convex optimization via inertial algorithms with vanishing Tikhonov regularization: fast convergence to the minimum norm solution

    Article • Mathematical Methods of Operations Research, June 2024, Springer Science + Business Media

    Dr Szilard Csaba Laszlo

  5. On the Convergence of an Inertial Proximal Algorithm with a Tikhonov Regularization Term

    Article • January 2024, Elsevier

    Dr Szilard Csaba Laszlo

  6. On the strong convergence of continuous Newton-like inertial dynamics with Tikhonov regularization for monotone inclusions

    Article • Journal of Mathematical Analysis and Applications, August 2023, Elsevier

    Dr Szilard Csaba Laszlo

  7. On the strong convergence of the trajectories of a Tikhonov regularized second order dynamical system with asymptotically vanishing damping

    Article • Journal of Differential Equations, July 2023, Elsevier

    Dr Szilard Csaba Laszlo

  8. On the convergence of an inertial proximal algorithm with a Tikhonov regularization term

    Article • May 2023, Research Square

    Dr Szilard Csaba Laszlo

  9. A Forward–Backward Algorithm With Different Inertial Terms for Structured Non-Convex Minimization Problems

    Article • Journal of Optimization Theory and Applications, April 2023, Springer Science + Business Media

    Dr Szilard Csaba Laszlo

  10. Tikhonov Regularization of a Perturbed Heavy Ball System with Vanishing Damping

    Article • SIAM Journal on Optimization, January 2021, Society for Industrial & Applied Mathematics (SIAM)

    Dr Szilard Csaba Laszlo

  11. A primal-dual dynamical approach to structured convex minimization problems

    Article • Journal of Differential Equations, December 2020, Elsevier

    Dr Szilard Csaba Laszlo

  12. Continuous Newton-like Inertial Dynamics for Monotone Inclusions

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

    Dr Szilard Csaba Laszlo

  13. Convergence rates for an inertial algorithm of gradient type associated to a smooth non-convex minimization

    Article • Mathematical Programming, July 2020, Springer Science + Business Media

    Dr Szilard Csaba Laszlo

  14. Tikhonov regularization of a second order dynamical system with Hessian driven damping

    Article • Mathematical Programming, June 2020, Springer Science + Business Media

    Dr Szilard Csaba Laszlo

  15. An Extension of the Second Order Dynamical System that Models Nesterov’s Convex Gradient Method

    Article • Applied Mathematics & Optimization, June 2020, Springer Science + Business Media

    Dr Szilard Csaba Laszlo

  16. Newton-like Inertial Dynamics and Proximal Algorithms Governed by Maximally Monotone Operators

    Article • SIAM Journal on Optimization, January 2020, Society for Industrial & Applied Mathematics (SIAM)

    Dr Szilard Csaba Laszlo

  17. A gradient-type algorithm with backward inertial steps associated to a nonconvex minimization problem

    Article • Numerical Algorithms, July 2019, Springer Science + Business Media

    Dr Szilard Csaba Laszlo

  18. Second-order dynamical systems with penalty terms associated to monotone inclusions

    Article • Analysis and Applications, August 2018, World Scientific Pub Co Pte Lt

    Dr Szilard Csaba Laszlo

  19. A second-order dynamical approach with variable damping to nonconvex smooth minimization

    Article • Applicable Analysis, July 2018, Taylor & Francis

    Dr Szilard Csaba Laszlo

  20. Approaching nonsmooth nonconvex minimization through second-order proximal-gradient dynamical systems

    Article • Journal of Evolution Equations, February 2018, Springer Science + Business Media

    Dr Szilard Csaba Laszlo

  21. A primal-dual approach of weak vector equilibrium problems

    Article • Open Mathematics, January 2018, De Gruyter

    Dr Szilard Csaba Laszlo

  22. Minimax Results on Dense Sets and Dense Families of Functionals

    Article • SIAM Journal on Optimization, January 2017, Society for Industrial & Applied Mathematics (SIAM)

    Dr Szilard Csaba Laszlo

  23. Vector Equilibrium Problems on Dense Sets

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

    Dr Szilard Csaba Laszlo

  24. An inertial forward–backward algorithm for the minimization of the sum of two nonconvex functions

    Article • EURO Journal on Computational Optimization, August 2015, Springer Science + Business Media

    Dr Szilard Csaba Laszlo

  25. Generalized Monotone Operators on Dense Sets

    Article • Numerical Functional Analysis and Optimization, April 2015, Taylor & Francis

    Dr Szilard Csaba Laszlo

  26. On Injectivity of a Class of Monotone Operators with Some Univalency Consequences

    Article • Mediterranean Journal of Mathematics, January 2015, Springer Science + Business Media

    Dr Szilard Csaba Laszlo

  27. Densely Defined Equilibrium Problems

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

    Dr Szilard Csaba Laszlo

  28. Applications of general variational inequalities to coincidence point results

    Article • Publicationes Mathematicae Debrecen, July 2014, University of Debrecen/ Debreceni Egyetem

    Dr Szilard Csaba Laszlo

  29. Multivalued variational inequalities and coincidence point results

    Article • Journal of Mathematical Analysis and Applications, August 2013, Elsevier

    Dr Szilard Csaba Laszlo

  30. Monotone operators and first category sets

    Article • Positivity, August 2012, Springer Science + Business Media

    Dr Szilard Csaba Laszlo

  31. On the generalized parallel sum of two maximal monotone operators of Gossez type (D)

    Article • Journal of Mathematical Analysis and Applications, July 2012, Elsevier

    Dr Szilard Csaba Laszlo

  32. About the Maximal Monotonicity of the Generalized Sum of Two Maximal Monotone Operators

    Article • Set-Valued and Variational Analysis, December 2011, Springer Science + Business Media

    Dr Szilard Csaba Laszlo

  33. Monotone operators and closed countable sets

    Article • Optimization, August 2011, Taylor & Francis

    Dr Szilard Csaba Laszlo

  34. Some Existence Results of Solutions for General Variational Inequalities

    Article • Journal of Optimization Theory and Applications, March 2011, Springer Science + Business Media

    Dr Szilard Csaba Laszlo