Publications

de Oliveira W. and Souza, J.C.O. . Progressive decoupling of linkages in a class of optimization problems with non-elicitable convexity, submitted in 2023.
Soubeyran, A.; Souza, J. C. O. . A variational rationality perspective on the quasi equilibrium problem: climbing the goal ladder, submitted in 2023.

FERREIRA, O. P.; RABELO, R. A. L.; RIBEIRO, P. .H. A.; SANTOS, E. M.; SOUZA, J. C. O. . Image denoising with a non-monotone boosted DCA for non-convex models, Online, Computers and Electrical Engineering, 2024. https://doi.org/10.1016/j.compeleceng.2024.109306
CRUZ NETO, J. X.; MELO, I. D. L., SOUSA, P. A., SOUZA, J. C. O. On the relationship between the Kurdyka-Lojasiewicz property and error bounds on Hadamard manifolds. Journal of Optimization Theory and Applications, Online, 2024. https://link.springer.com/article/10.1007/s10957-024-02386-6
FERREIRA, O. P.; SANTOS, E. M.; SOUZA, J. C. O. . A boosted DC algorithm for non-differentiable DC components with non-monotone line search. Computational Optimization and Applications, v. 88, p. 783-818, 2024. https://link.springer.com/article/10.1007/s10589-024-00578-4 <MATLAB codes>
BERGMANN, R.; FERREIRA, O. P.; SANTOS, E. M.; SOUZA, J. C. O. .The difference of convex algorithm on Riemannian manifolds. Journal of Optimization Theory and Applications, v. 201, p. 221-251, 2024. https://link.springer.com/article/10.1007/s10957-024-02392-8
DIAS JR., E. L.; SANTOS, P. J. S.; SOUBEYRAN, A.; SOUZA, J. C. O. . On the Cournot duopoly model: inexact versions of the proximal point method for quasi-equilibrium problems. Journal of Global Optimization, v. 89, p. 171-196, 2024. https://doi.org/10.1007/s10898-023-01341-5

FERREIRA, O. P.; GRAPIGLIA, G. N.; SANTOS, E. M.; SOUZA, J. C. O. . A subgradient method with non-monotone line search. Computational Optimization and Applications, v. 84, p. 397-420, 2023. https://link.springer.com/article/10.1007/s10589-022-00438-z <MATLAB codes>
ANDRADE, J. S.; LOPES, J. O.; SOUZA, J. C. O. . An inertial proximal point method for difference of maximal monotone vector fields in Hadamard manifolds. Journal of Global Optimization, v. 85, p. 941-968, 2023. https://doi.org/10.1007/s10898-022-01240-1
DIAS JR., E. L.; SANTOS, P. J. S.; SOUZA, J. C. O. . A Bregman regularized proximal point method for quasi-equilibrium problems. Pure and Applied Functional Analysis, v. 8(3), p. 817-828, 2023 (Special issue on Optimization and Operator Theory dedicated to Professor Lev Bregman on the occasion of his 80th birthday). http://yokohamapublishers.jp/online2/oppafa/vol8/p817.html

SANTOS, P. J. S. ; SOUZA, J. C. O. . A proximal point method for quasi-equilibrium problems in Hilbert spaces. Optimization, v. 71(1), p. 55-70, 2022. https://doi.org/10.1080/02331934.2020.1810686
SOUZA, J. C. O.; CRUZ NETO, J. X. ; LOPES, J. O. ; SILVA, R. C. M. ; BITAR, S. D. B. . A Bregman regularized proximal point method for difference of convex functions in multi-objective optimization. Optimization, v. 71(1), p. 263-284, 2022. https://doi.org/10.1080/02331934.2020.1755862

CRUZ NETO, J. X.; LOPES, J. O. ; SOUBEYRAN, A. ; SOUZA, J. C. O. . Abstract regularized equilibria. Application to Becker's household behavior theory. Annals of Operations Research, p. 1-22, 2021. https://doi.org/10.1007/s10479-021-04175-0

CRUZ NETO, J. X. ; OLIVEIRA, P. R. ; SOUBEYRAN, A. ; SOUZA, J. C. O. . A generalized proximal linearized algorithm for DC functions with application to the optimal size of the firm problem. Annals of Operations Research, v. 289, p. 313-339, 2020. https://doi.org/10.1007/s10479-018-3104-8
BENTO, G. C.; BITAR, S. D. B.; CRUZ NETO, J. X.; SOUBEYRAN, A.; SOUZA, J. C. O. . A proximal point method for difference of convex functions in multi-objective optimization with application to group dynamic problems. Computational Optimization and Applications, v. 75, p. 263-290, 2020. https://doi.org/10.1007/s10589-019-00139-0
SOUBEYRAN, A. ; SOUZA, J. C. O. . General descent method using w-distance. Application to emergence of habits following worthwhile moves. Journal of Nonlinear and Variational Analysis, v. 4, p. 285-300, 2020. https://doi.org/10.23952/jnva.4.2020.2.09
ALMEIDA, Y. T.; CRUZ NETO, J. X.; OLIVEIRA, P. R.; SOUZA, J. C. O. . A modified proximal point method for DC functions on Hadamard manifolds. Computational Optimization and Applications, v. 76, p. 649-673, 2020. https://doi.org/10.1007/s10589-020-00173-3

BENTO, G. C. ; BITAR, S. D. B. ; CRUZ NETO, J. X. ; OLIVEIRA, P. R.; SOUZA, J. C. O. . Computing Riemannian Center of Mass on Hadamard Manifolds. Journal of Optimization Theory and Applications, v. 183, p. 977-992, 2019. https://doi.org/10.1007/s10957-019-01580-1
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(7), p. 1305-1319, 2019. https://doi.org/10.1080/02331934.2018.1476859
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. https://doi.org/10.1007/s11590-019-01411-2

BENTO, G. C. ; CRUZ NETO, J. X. ; LÓPEZ, G. ; SOUBEYRAN, A. ; SOUZA, J. C. O. . The Proximal Point Method for Locally Lipschitz Functions in Multiobjective Optimization with Application to the Compromise Problem. SIAM Journal on Optimization, v. 28, p. 1104-1120, 2018. https://doi.org/10.1137/16M107534X
CRUZ NETO, J. X. ; JACINTO, F. M. O. ; SOARES, P. A. ; SOUZA, J. C. O. . On maximal monotonicity of bifunctions on Hadamard manifolds. Journal of Global Optimization, v. 72, p. 591-601, 2018. https://doi.org/10.1007/s10898-018-0663-9
SOUZA, J. C. O. . Proximal Point Methods for Lipschitz Functions on Hadamard Manifolds: Scalar and Vectorial Cases. Journal of Optimization Theory and Applications, v. 179, p. 745-760, 2018. https://doi.org/10.1007/s10957-018-1375-5

SOUZA, J. C. O.; OLIVEIRA, P. R.; SOUBEYRAN, A. . Global convergence of a proximal linearized algorithm for difference of convex functions. Optimization Letters, v. 10, p. 1529-1539, 2016. https://doi.org/10.1007/s11590-015-0969-1

SOUZA, J. C. O.; OLIVEIRA, P. R. . A proximal point algorithm for DC functions on Hadamard manifolds. Journal of Global Optimization, v. 63, p. 797-810, 2015. https://doi.org/10.1007/s10898-015-0282-7

SOUBEYRAN, A. ; CRUZ NETO, J. X. ; SOUZA, J. C. O. . How Variational Rational Agents Would Play Nash: A Generalized Proximal Alternating Linearized Method. In: Akhtar A. Khan, Elisabeth Köbis, Christiane Tammer. (Org.). Variational Analysis and Set Optimization: Developments and Applications in Decision Making. 1ed.: CRC Press, 2019, v. 1, p. 1-359.
CRUZ NETO, J. X. ; SOARES JUNIOR, P. A. ; SOUZA, J. C. O. . An alternating minimization method on geodesic spaces. In: Leandro F. Pessoa. (Org.). Meeting on Geometric Analysis. 1ed.Teresina: EDUFPI, 2017, v. 1, p. 193-209.

Co-authors