Asymptotic behavior of the central path for a special class of degenerate SDP problems. - João Xavier da Cruz Neto; Orizon Pereira Ferreira; Renato D. C. Monteiro (Math. Program., 2005)

Convex- and Monotone-Transformable Mathematical Programming Problems and a Proximal-Like Point Method. - João Xavier da Cruz Neto; Orizon Pereira Ferreira; L. R. Lucambio Pérez; Sándor Zoltán Németh (J. Glob. Optim., 2006)

Dual convergence of the proximal point method with Bregman distances for linear programming. - João Xavier da Cruz Neto; Orizon Pereira Ferreira; Alfredo N. Iusem; Renato D. C. Monteiro (Optim. Methods Softw., 2007)

A proximal method with separable Bregman distances for quasiconvex minimization over the nonnegative orthant. - Sissy da S. Souza; P. Roberto Oliveira; João Xavier da Cruz Neto; Antoine Soubeyran (Eur. J. Oper. Res., 2010)

A class of primal affine scaling algorithms. - F. G. M. Cunha; A. W. M. Pinto; P. Roberto Oliveira; João Xavier da Cruz Neto (Appl. Math. Comput., 2011)

Interior Proximal Algorithm for Quasiconvex Programming Problems and Variational Inequalities with Linear Constraints. - Arnaldo S. Brito; João Xavier da Cruz Neto; Jurandir O. Lopes; P. Roberto Oliveira (J. Optim. Theory Appl., 2012)

A subgradient method for multiobjective optimization. - João Xavier da Cruz Neto; G. J. P. Da Silva; Orizon Pereira Ferreira; Jurandir O. Lopes (Comput. Optim. Appl., 2013)

A Subgradient Method for Multiobjective Optimization on Riemannian Manifolds. - Glaydston de Carvalho Bento; João Xavier da Cruz Neto (J. Optim. Theory Appl., 2013)

An Inexact Steepest Descent Method for Multicriteria Optimization on Riemannian Manifolds. - Glaydston de Carvalho Bento; João Xavier da Cruz Neto; Paulo Sérgio Marques dos Santos (J. Optim. Theory Appl., 2013)

The self regulation problem as an inexact steepest descent method for multicriteria optimization. - Glaydston de Carvalho Bento; João Xavier da Cruz Neto; P. Roberto Oliveira; Antoine Soubeyran (Eur. J. Oper. Res., 2014)

Proximal Point Method on Finslerian Manifolds and the "Effort-Accuracy" Trade-off. - João Xavier da Cruz Neto; P. Roberto Oliveira; P. A. Soares Jr.; Antoine Soubeyran (J. Optim. Theory Appl., 2014)

A New Approach to the Proximal Point Method: Convergence on General Riemannian Manifolds. - Glaydston de Carvalho Bento; João Xavier da Cruz Neto; Paulo Roberto Oliveira (J. Optim. Theory Appl., 2016)

Dual Descent Methods as Tension Reduction Systems. - Glaydston de Carvalho Bento; João Xavier da Cruz Neto; Antoine Soubeyran; Valdinês Leite de Sousa Júnior (J. Optim. Theory Appl., 2016)

An extragradient method for equilibrium problems on Hadamard manifolds. - João Xavier da Cruz Neto; Paulo Sérgio Marques dos Santos; P. A. Soares Jr. (Optim. Lett., 2016)

Generalized Proximal Distances for Bilevel Equilibrium Problems. - Glaydston de Carvalho Bento; João Xavier da Cruz Neto; Jurandir O. Lopes; P. A. Soares Jr.; Antoine Soubeyran (SIAM J. Optim., 2016)

A relaxed projection method for solving multiobjective optimization problems. - Arnaldo S. Brito; João Xavier da Cruz Neto; Paulo Sérgio Marques dos Santos; Simone do Rócio Senger de Souza (Eur. J. Oper. Res., 2017)

Convexity and Some Geometric Properties. - João Xavier da Cruz Neto; Ítalo Dowell Lira Melo; Paulo Alexandre Araújo Sousa (J. Optim. Theory Appl., 2017)

On maximal monotonicity of bifunctions on Hadamard manifolds. - João Xavier da Cruz Neto; F. M. O. Jacinto; P. A. Soares Jr.; João Carlos de Oliveira Souza (J. Glob. Optim., 2018)

Proximal Point Method for Locally Lipschitz Functions in Multiobjective Optimization of Hadamard Manifolds. - Glaydston de Carvalho Bento; João Xavier da Cruz Neto; Lucas V. de Meireles (J. Optim. Theory Appl., 2018)

A weighting subgradient algorithm for multiobjective optimization. - Glaydston de Carvalho Bento; João Xavier da Cruz Neto; Paulo Sérgio Marques dos Santos; Simone do Rócio Senger de Souza (Optim. Lett., 2018)

The Proximal Point Method for Locally Lipschitz Functions in Multiobjective Optimization with Application to the Compromise Problem. - Glaydston de Carvalho Bento; João Xavier da Cruz Neto; Genaro López; Antoine Soubeyran; João Carlos de Oliveira Souza (SIAM J. Optim., 2018)

Computing Riemannian Center of Mass on Hadamard Manifolds. - Glaydston de Carvalho Bento; Sandro Dimy Barbosa Bitar; João Xavier da Cruz Neto; Paulo Roberto Oliveira; João Carlos de Oliveira Souza (J. Optim. Theory Appl., 2019)

On a Bregman regularized proximal point method for solving equilibrium problems. - João Xavier da Cruz Neto; Paulo Sérgio Marques dos Santos; Roberto Cristóvão Mesquita Silva; João Carlos de Oliveira Souza (Optim. Lett., 2019)

A generalized proximal linearized algorithm for DC functions with application to the optimal size of the firm problem. - João Xavier da Cruz Neto; Paolo Roberto Oliveira; Antoine Soubeyran; João Carlos de Oliveira Souza (Ann. Oper. Res., 2020)

A modified proximal point method for DC functions on Hadamard manifolds. - Yldenilson Torres Almeida; João Xavier da Cruz Neto; Paulo Roberto Oliveira; João Carlos de Oliveira Souza (Comput. Optim. Appl., 2020)

A proximal point method for difference of convex functions in multi-objective optimization with application to group dynamic problems. - Glaydston de Carvalho Bento; Sandro Dimy Barbosa Bitar; João Xavier da Cruz Neto; Antoine Soubeyran; João Carlos de Oliveira Souza (Comput. Optim. Appl., 2020)

Pareto solutions as limits of collective traps: an inexact multiobjective proximal point algorithm. - Glaydston de Carvalho Bento; João Xavier da Cruz Neto; Lucas V. de Meireles; Antoine Soubeyran (Ann. Oper. Res., 2022)

A new regularization of equilibrium problems on Hadamard manifolds: applications to theories of desires. - Glaydston de Carvalho Bento; João Xavier da Cruz Neto; P. A. Soares Jr.; Antoine Soubeyran (Ann. Oper. Res., 2022)

Abstract regularized equilibria: application to Becker's household behavior theory. - João Xavier da Cruz Neto; Jurandir O. Lopes; Antoine Soubeyran; João Carlos de Oliveira Souza (Ann. Oper. Res., 2022)

Combinatorial Convexity in Hadamard Manifolds: Existence for Equilibrium Problems. - Glaydston de Carvalho Bento; João Xavier da Cruz Neto; Ítalo Dowell Lira Melo (J. Optim. Theory Appl., 2022)

Strong Convergence of Alternating Projections. - Ítalo Dowell Lira Melo; João Xavier da Cruz Neto; José Márcio Machado de Brito (J. Optim. Theory Appl., 2022)

On the Relationship Between the Kurdyka-Łojasiewicz Property and Error Bounds on Hadamard Manifolds. - João Xavier da Cruz Neto; Ítalo Dowell Lira Melo; Paulo Alexandre Araújo Sousa; João Carlos de Oliveira Souza (J. Optim. Theory Appl., 2024)

A New Approach About Equilibrium Problems via Busemann Functions. - Glaydston de Carvalho Bento; João Xavier da Cruz Neto; Jurandir O. Lopes; Ítalo Dowell Lira Melo; Pedro Silva Filho (J. Optim. Theory Appl., 2024)

Strong convergence of the composition of firmly nonexpansive mappings. - José Márcio Machado de Brito; João Xavier da Cruz Neto; Ítalo Dowell Lira Melo (J. Glob. Optim., 2024)

A refined proximal algorithm for nonconvex multiobjective optimization in Hilbert spaces. - Glaydston de Carvalho Bento; João Xavier da Cruz Neto; Jurandir O. Lopes; Boris S. Mordukhovich; Pedro R. Silva Filho (J. Glob. Optim., 2025)