da Cruz Neto, João Xavier; Melo, Ítalo Dowell Lira; Sousa, Paulo Alexandre; de Oliveira Souza, João Carlos On the relationship between the Kurdyka-Łojasiewicz property and error bounds on Hadamard manifolds. (English) Zbl 07814949 J. Optim. Theory Appl. 200, No. 3, 1255-1285 (2024). MSC: 65K10 90C30 49M99 PDFBibTeX XMLCite \textit{J. X. da Cruz Neto} et al., J. Optim. Theory Appl. 200, No. 3, 1255--1285 (2024; Zbl 07814949) Full Text: DOI
Bento, G. C.; Cruz Neto, J. X.; Meireles, L. V.; Soubeyran, A. Pareto solutions as limits of collective traps: an inexact multiobjective proximal point algorithm. (English) Zbl 1495.90173 Ann. Oper. Res. 316, No. 2, 1425-1443 (2022). MSC: 90C29 90C30 90C56 PDFBibTeX XMLCite \textit{G. C. Bento} et al., Ann. Oper. Res. 316, No. 2, 1425--1443 (2022; Zbl 1495.90173) Full Text: DOI
Souza, João Carlos de O.; da Cruz Neto, João Xavier; Lopes, Jurandir de Oliveira; Mesquita Silva, Roberto Cristóvão; Bitar, Sandro Dimy Barbosa The proximal point method with a vectorial Bregman regularization in multiobjective DC programming. (English) Zbl 1486.90159 Optimization 71, No. 1, 263-284 (2022). MSC: 90C26 90C29 65K05 PDFBibTeX XMLCite \textit{J. C. de O. Souza} et al., Optimization 71, No. 1, 263--284 (2022; Zbl 1486.90159) Full Text: DOI
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. (English) Zbl 1496.90065 Ann. Oper. Res. 289, No. 2, 313-339 (2020). MSC: 90C26 90C90 PDFBibTeX XMLCite \textit{J. X. Cruz Neto} et al., Ann. Oper. Res. 289, No. 2, 313--339 (2020; Zbl 1496.90065) Full Text: DOI Link
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. (English) Zbl 1423.90197 Optimization 68, No. 7, 1305-1319 (2019). MSC: 90C26 90C51 PDFBibTeX XMLCite \textit{J. X. Cruz Neto} et al., Optimization 68, No. 7, 1305--1319 (2019; Zbl 1423.90197) Full Text: DOI
Neto, J. X. Cruz; Santos, P. S. M.; Silva, R. C. M.; Souza, J. C. O. On a Bregman regularized proximal point method for solving equilibrium problems. (English) Zbl 1426.90239 Optim. Lett. 13, No. 5, 1143-1155 (2019). MSC: 90C33 PDFBibTeX XMLCite \textit{J. X. C. Neto} et al., Optim. Lett. 13, No. 5, 1143--1155 (2019; Zbl 1426.90239) Full Text: DOI
Neto, J. X. Cruz; Lopes, J. O.; Soares, P. A. jun. A minimization algorithm for equilibrium problems with polyhedral constraints. (English) Zbl 1337.90068 Optimization 65, No. 5, 1061-1068 (2016). MSC: 90C33 47J25 65K05 90C26 PDFBibTeX XMLCite \textit{J. X. C. Neto} et al., Optimization 65, No. 5, 1061--1068 (2016; Zbl 1337.90068) Full Text: DOI
Bento, G. C.; Cruz Neto, J. X.; Lopes, J. O.; Soares, P. A. jun.; Soubeyran, A. Generalized proximal distances for bilevel equilibrium problems. (English) Zbl 1333.90134 SIAM J. Optim. 26, No. 1, 810-830 (2016). MSC: 90C33 47J25 65K05 91E10 PDFBibTeX XMLCite \textit{G. C. Bento} et al., SIAM J. Optim. 26, No. 1, 810--830 (2016; Zbl 1333.90134) Full Text: DOI Link
Bento, G. C.; Neto, J. X. Cruz Finite termination of the proximal point method for convex functions on Hadamard manifolds. (English) Zbl 1293.49111 Optimization 63, No. 9, 1281-1288 (2014). MSC: 49Q99 49M30 90C26 26B25 PDFBibTeX XMLCite \textit{G. C. Bento} and \textit{J. X. C. Neto}, Optimization 63, No. 9, 1281--1288 (2014; Zbl 1293.49111) Full Text: DOI arXiv
Bento, G. C.; Cruz Neto, J. X. A subgradient method for multiobjective optimization on Riemannian manifolds. (English) Zbl 1295.90066 J. Optim. Theory Appl. 159, No. 1, 125-137 (2013). Reviewer: Nicolae Popovici (Cluj-Napoca) MSC: 90C29 90C48 PDFBibTeX XMLCite \textit{G. C. Bento} and \textit{J. X. Cruz Neto}, J. Optim. Theory Appl. 159, No. 1, 125--137 (2013; Zbl 1295.90066) Full Text: DOI
Da Cruz Neto, J. X.; Da Silva, G. J. P.; Ferreira, O. P.; Lopes, J. O. A subgradient method for multiobjective optimization. (English) Zbl 1267.90129 Comput. Optim. Appl. 54, No. 3, 461-472 (2013). MSC: 90C29 90C33 PDFBibTeX XMLCite \textit{J. X. Da Cruz Neto} et al., Comput. Optim. Appl. 54, No. 3, 461--472 (2013; Zbl 1267.90129) Full Text: DOI
Brito, Arnaldo S.; da Cruz Neto, J. X.; Lopes, Jurandir O.; Oliveira, P. Roberto Interior proximal algorithm for quasiconvex programming problems and variational inequalities with linear constraints. (English) Zbl 1273.90238 J. Optim. Theory Appl. 154, No. 1, 217-234 (2012). Reviewer: Jean-Jacques Strodiot (Namur) MSC: 90C51 90C25 90C33 PDFBibTeX XMLCite \textit{A. S. Brito} et al., J. Optim. Theory Appl. 154, No. 1, 217--234 (2012; Zbl 1273.90238) Full Text: DOI
Cunha, F. G. M.; da Cruz Neto, J. X.; Oliveira, P. R. A proximal point algorithm with a \(\varphi \)-divergence for quasiconvex programming. (English) Zbl 1194.90098 Optimization 59, No. 5-6, 777-792 (2010). MSC: 90C30 90C26 PDFBibTeX XMLCite \textit{F. G. M. Cunha} et al., Optimization 59, No. 5--6, 777--792 (2010; Zbl 1194.90098) Full Text: DOI
da S. Souza, Sissy; Oliveira, P. R.; da Cruz Neto, J. X.; Soubeyran, A. A proximal method with separable Bregman distances for quasiconvex minimization over the nonnegative orthant. (English) Zbl 1217.90158 Eur. J. Oper. Res. 201, No. 2, 365-376 (2010). Reviewer: Paulo Mbunga (Kiel) MSC: 90C51 90C25 90C30 PDFBibTeX XMLCite \textit{S. da S. Souza} et al., Eur. J. Oper. Res. 201, No. 2, 365--376 (2010; Zbl 1217.90158) Full Text: DOI
da Cruz Neto, J. X.; Ferreira, O. P.; Oliveira, P. R.; Silva, R. C. M. Central paths in semidefinite programming, generalized proximal-point method and Cauchy trajectories in Riemannian manifolds. (English) Zbl 1194.90068 J. Optim. Theory Appl. 139, No. 2, 227-242 (2008). Reviewer: Jean-Jacques Strodiot (Namur) MSC: 90C22 90C25 PDFBibTeX XMLCite \textit{J. X. da Cruz Neto} et al., J. Optim. Theory Appl. 139, No. 2, 227--242 (2009; Zbl 1194.90068) Full Text: DOI
Cruz Neto, J. X.; Ferreira, O. P.; Iusem, A. N.; Monteiro, R. D. C. Dual convergence of the proximal point method with Bregman distances for linear programming. (English) Zbl 1133.90007 Optim. Methods Softw. 22, No. 2, 339-360 (2007). Reviewer: Samir Kumar Neogy (New Delhi) MSC: 90C05 PDFBibTeX XMLCite \textit{J. X. Cruz Neto} et al., Optim. Methods Softw. 22, No. 2, 339--360 (2007; Zbl 1133.90007) Full Text: DOI