Welcome to my homepage. I am full Professor at Federal University of Delta do Parnaíba - UFDPar, Parnaíba - Brazil. Here you can find information on my research and the current activities. 


Teaching

1. Elements of Mathematics I. Undergraduate course. CMRV/UFDPar. 2023-2

2. Numerical Calculus I. Undergraduate course. CMRV/UFDPar. 2023-2.

Research interests

Research groups

Núcleo de Estudos em Matemática - NEMAT

Supervisions in progress

1. Jonatas Oliveira lima da silva. To be defined. 2020-currently. Doctoral thesis. Computer science. Universidade Federal do Piauí. Advisor.

2. José Eliésio Souza Damascena. To be defined. 2022-currently. Doctoral thesis. Computer science. Universidade Federal do Piauí. Advisor.

3. Shayra Melo Figueredo. 2023-currently. Scientific initiation - FAPEPI. Mathematics. Universidade Federal do Delta do Parnaíba.

4. Thiago Luan. 2022-currently. Scientific initiation - FAPEPI. Mathematics. Universidade Federal do Delta do Parnaíba.

5. Camilla de Brito Sales. 2023-currently. Scientific initiation - CNPq. Mathematics. Universidade Federal do Delta do Parnaíba.

6. Luciano da Conceiçãao Ferreira. 2023-currently. Scientific initiation - CNPq. Mathematics. Universidade Federal do Delta do Parnaíba.

Funding

Numerical algorithms for solving continuous nonlinear resource allocation problem

2023-03 to 2026-02 | Grant

Conselho Nacional de Desenvolvimento Científico e Tecnológico (Brasília - DF, BR)

GRANT_NUMBER: 309552/2022-2

Publications in refereed journals

21. Torrealba, E.M.R. ; Silva, J.G. ; Matioli, L.C. ; Kolossoski, O. ; Santos, P.S.M. . Augmented Lagrangian algorithms for solving the continuous nonlinear resource allocation problem. European Journal of Operational Research, v. 299, p.46-59, 2022.

20. Santos, P. J. S., Santos, P.S.M. ; Scheimberg, S. A Newton-type method for Quasi-Equilibrium Problems and applications. Optimization, v.71, p. 7-32, 2022.

19. Sousa, L. A. , Scheimberg, S., Santos, P.S.M.,  Santos, P. J. S.  A quasi-Newton type Method for Equilibrium problems. Numerical Algorithms,  v. 89, p. 1129-1143, 2022. 

18. Santos, P. S. M.; SILVA, G. N. ; Silva, R. C. M. . Newton-type method for solving generalized inclusion. Numerical Algorithms, v. 88, p. 1811-1829, 2021.

17. Cruz Neto, J. X. ; Santos, P. S. M. ; Silva, R. C. M. ; Souza, J. C. O. . On a Bregman regularized proximal point method for solving equilibrium problems. Optimization Letters, v. 13, p. 1143-1155, 2019.

16. R. S. V. Hoto ; Matioli, L. C. ; Santos, P. S. M. . A penalty algorithm for solving convex separable knapsack problems. Applied Mathematics and Computation, v. 1, p. 124855, 2019.

15. Santos, P. J. S. ; Santos, P. S. M. ; Scheimberg, S. . A proximal Newton-type method for equilibrium problems. Optimization Letters, v. 12, p. 997-1009, 2018.

14. G. N. Silva ; Souza, S. S. ; Santos, P.S.M. . Extended Newton-type method for nonlinear functions with values in a cone. Computational $ Applied Mathematics, p. 5082-5097, 2018.

13. Cruz Neto, J. X. ; Lopes, J. O. ; Santos, P. S. M. ; Souza, J. C. O. . An interior proximal linearized method for DC-programming based on Bregman distance or second-order homogeneous kernels. Optimization, v. 68, p. 1-15, 2018.

12. Bento, G. C. ; Neto, J. X. Cruz ; Santos, P. S. M. ; Souza, S. S. . A weighting subgradient algorithm for multiobjective optimization. Optimization Letters, v. 12, p. 399-410, 2017.

11. Cruz Neto, J. X. ; Souza, S. S. ; Brito, A. S. ; Santos, P.S.M. . A relaxed projection method for solving multiobjective optimization problems. European Journal of Operational Research, v. 1, p. 1-7, 2016.

10. Santos, P.S.M.; Scheimberg, S. . A modified projection algorithm for constrained equilibrium problems. Optimization(Print), v. 1, p. 1-12, 2016.

9. Cruz Neto, J. X. ; Santos, P. S. M. ; Soares, P. A. . An extragradient method for equilibrium problems on Hadamard manifolds. Optimization Letters (Print), v. 1, p. 1-10, 2015.

8.Santos, P.S.M.; Scheimberg, S. . An outer approximation algorithm for equilibrium problems in Hilbert spaces. Optimization Methods & Software (Print), v. 30, p. 379-390, 2014.

7. Oliveira, P.R. ; Santos, P.S.M. ; Silva, A.N. . A Tikhonov-type regularization for equilibrium problems in Hilbert spaces. Journal of Mathematical Analysis and Applications (Print), v. 401, p. 336-342, 2013.

6. Bento, G. C. ; Cruz Neto, J. X. ; Santos, P.S.M. . An Inexact Steepest Descent Method for Multicriteria Optimization on Riemannian Manifolds. Journal of Optimization Theory and Applications, v. 159, p. 108-124, 2013.

5. Bello Cruz, J. Y. ; Santos, P. S. M. ; Scheimberg, S. . A Two-Phase Algorithm for a Variational Inequality Formulation of Equilibrium Problems. Journal of Optimization Theory and Applications (Dordrecht. Online), v. 159, p.562-575, 2013.

4. Santos, P. S. M.; Souza, S. S. ; Cruz Neto, J. X. . A Sufficient descent direction method for quasiconvex optimization over Riemannian manifolds. Pacific Journal of Optimization (Print), v. 8, p. 803-815, 2012.

3. Santos, P. S. M.; Scheimberg, S. . An Inexact Subgradient Algorithm for Equilibrium Problems. Computational & Applied Mathematics, v. 30, p. 91-107, 2011.

2. Scheimberg, S. ; Santos, P.S.M. . A relaxed projection method for finite-dimensional equilibrium problems. Optimization, v. 60, p. 1193-1208, 2011.

1. Santos, P. S. M.; Scheimberg, S. . A projection algorithm for general variational inequalities with perturbed constraint sets. Applied Mathematics and Computation, v. 181, p. 649-661, 2006.