Kantorovich's theorem on Newton's method for solving generalized equations under the majorant condition. - Gilson N. Silva (Appl. Math. Comput., 2016)

Extended Traub-Woźniakowski convergence and complexity of Newton iteration in Banach space. - Ioannis K. Argyros; Gilson N. Silva (J. Complex., 2017)

Kantorovich's Theorem on Newton's Method for Solving Strongly Regular Generalized Equation. - Orizon Pereira Ferreira; Gilson N. Silva (SIAM J. Optim., 2017)

Newton's method with feasible inexact projections for solving constrained generalized equations. - Fabiana R. de Oliveira; Orizon P. Ferreira; Gilson N. Silva (Comput. Optim. Appl., 2019)

Extending the Kantorovich's theorem on Newton's method for solving strongly regular generalized equation. - Ioannis K. Argyros; Gilson N. Silva (Optim. Lett., 2019)

A General Iterative Procedure to Solve Generalized Equations with Differentiable Multifunction. - Michaël Gaydu; Gilson N. Silva (J. Optim. Theory Appl., 2020)

Newton-type method for solving generalized inclusion. - Paulo Sérgio Marques dos Santos; Gilson N. Silva; Roberto Cristóvão Mesquita Silva (Numer. Algorithms, 2021)

Inexact Newton Methods for Solving Generalized Equations on Riemannian Manifolds. - Mauricio S. Louzeiro; Gilson N. Silva; Jinyun Yuan (CoRR, 2023)

On Newton's method for solving generalized equations. - Orizon P. Ferreira; Célia Jean-Alexis; Alain Piétrus; Gilson N. Silva (J. Complex., 2023)

A modified Newton-Secant method for solving nonsmooth generalized equations. - Vitaliano de Sousa Amaral; Paulo Sérgio Marques dos Santos; Gilson N. Silva; Simone R. S. Souza (Math. Model. Anal., 2024)

A Quasi-Newton method for solving generalized equations by using a Kantorovich approach. - V. S. Amaral; Paulo Sérgio Marques dos Santos; Gilson N. Silva; Simone R. S. Souza (Comput. Appl. Math., 2024)

Secant-inexact projection algorithms for solving a new class of constrained mixed generalized equations problems. - P. C. da Silva; Orizon Pereira Ferreira; Leonardo D. Secchin; Gilson N. Silva (J. Comput. Appl. Math., 2024)

On the complexity of a quadratic regularization algorithm for minimizing nonsmooth and nonconvex functions. - V. S. Amaral; J. O. Lopes; Paulo Sérgio Marques dos Santos; Gilson N. Silva (Optim. Methods Softw., 2025)

Inexact Newton Methods for Solving Generalized Equations on Riemannian Manifolds. - Mauricio S. Louzeiro; Gilson N. Silva; Jinyun Yuan; Daoping Zhang (J. Sci. Comput., 2025)