Bento, G. C.; Neto, J. X. Cruz; Soares, P. A. jun.; Soubeyran, A. A new regularization of equilibrium problems on Hadamard manifolds: applications to theories of desires. (English) Zbl 1495.65076 Ann. Oper. Res. 316, No. 2, 1301-1318 (2022). MSC: 65K05 47J25 90C33 91E10 PDFBibTeX XMLCite \textit{G. C. Bento} et al., Ann. Oper. Res. 316, No. 2, 1301--1318 (2022; Zbl 1495.65076) Full Text: DOI
Bento, G. C.; Ferreira, O. P.; Quiroz, E. A. Papa An inexact proximal point method for variational inequality on Hadamard manifolds. arXiv:2103.02116 Preprint, arXiv:2103.02116 [math.OC] (2021). MSC: 90C33 65K05 47J25 BibTeX Cite \textit{G. C. Bento} et al., ``An inexact proximal point method for variational inequality on Hadamard manifolds'', Preprint, arXiv:2103.02116 [math.OC] (2021) Full Text: arXiv OA License
Batista, E. E. A.; Bento, G. C.; Ferreira, O. P. An extragradient-type algorithm for variational inequality on Hadamard manifolds. (English) Zbl 1451.90159 ESAIM, Control Optim. Calc. Var. 26, Paper No. 63, 16 p. (2020). MSC: 90C33 65K05 47J25 PDFBibTeX XMLCite \textit{E. E. A. Batista} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 63, 16 p. (2020; Zbl 1451.90159) Full Text: DOI arXiv
Bento, G. C.; Cruz Neto, J. X.; López, G.; Soubeyran, Antoine; Souza, J. C. O. The proximal point method for locally Lipschitz functions in multiobjective optimization with application to the compromise problem. (English) Zbl 1388.49013 SIAM J. Optim. 28, No. 2, 1104-1120 (2018). MSC: 49J52 65K05 90C26 90C29 91E99 PDFBibTeX XMLCite \textit{G. C. Bento} et al., SIAM J. Optim. 28, No. 2, 1104--1120 (2018; Zbl 1388.49013) Full Text: DOI
Bento, Glaydston C.; Ferreira, Orizon P.; Melo, Jefferson G. Iteration-complexity of gradient, subgradient and proximal point methods on Riemannian manifolds. (English) Zbl 1400.90277 J. Optim. Theory Appl. 173, No. 2, 548-562 (2017). MSC: 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{G. C. Bento} et al., J. Optim. Theory Appl. 173, No. 2, 548--562 (2017; Zbl 1400.90277) Full Text: DOI arXiv
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
Batista, E. E. A.; Bento, G. C.; Ferreira, O. P. An existence result for the generalized vector equilibrium problem on Hadamard manifolds. (English) Zbl 1327.90332 J. Optim. Theory Appl. 167, No. 2, 550-557 (2015). MSC: 90C33 65K05 47J25 PDFBibTeX XMLCite \textit{E. E. A. Batista} et al., J. Optim. Theory Appl. 167, No. 2, 550--557 (2015; Zbl 1327.90332) Full Text: DOI arXiv
Bento, G. C.; Soubeyran, A. Generalized inexact proximal algorithms: routine’s formation with resistance to change, following worthwhile changes. (English) Zbl 1342.49018 J. Optim. Theory Appl. 166, No. 1, 172-187 (2015). MSC: 49J52 49M37 90C30 65K05 65K10 91E10 PDFBibTeX XMLCite \textit{G. C. Bento} and \textit{A. Soubeyran}, J. Optim. Theory Appl. 166, No. 1, 172--187 (2015; Zbl 1342.49018) Full Text: DOI arXiv
Bento, Glaydston C.; Soubeyran, Antoine A generalized inexact proximal point method for nonsmooth functions that satisfies Kurdyka Łojasiewicz inequality. (English) Zbl 1342.49019 Set-Valued Var. Anal. 23, No. 3, 501-517 (2015). MSC: 49J52 49M37 90C30 65K05 65K10 91E10 PDFBibTeX XMLCite \textit{G. C. Bento} and \textit{A. Soubeyran}, Set-Valued Var. Anal. 23, No. 3, 501--517 (2015; Zbl 1342.49019) Full Text: DOI
Bento, G. C.; Neto, J. X. Cruz; Soubeyran, A. A proximal point-type method for multicriteria optimization. (English) Zbl 1296.90113 Set-Valued Var. Anal. 22, No. 3, 557-573 (2014). MSC: 90C30 26B25 65K05 53C21 PDFBibTeX XMLCite \textit{G. C. Bento} et al., Set-Valued Var. Anal. 22, No. 3, 557--573 (2014; Zbl 1296.90113) Full Text: DOI
Bento, G. C.; Neto, J. X. Cruz; Soares, P. A.; Soubeyran, A. WITHDRAWN: Proximal algorithms with Bregman distances for bilevel equilibrium problems with application to the problem of ”how routines form and change” in Economics and Management Sciences. arXiv:1401.4865 Preprint, arXiv:1401.4865 [math.OC] (2014); retraction notice ibid. MSC: 65K05 47J25 90C33 91E10 BibTeX Cite \textit{G. C. Bento} et al., ``WITHDRAWN: Proximal algorithms with Bregman distances for bilevel equilibrium problems with application to the problem of "how routines form and change" in Economics and Management Sciences'', Preprint, arXiv:1401.4865 [math.OC] (2014); retraction notice ibid. Full Text: arXiv OA License
Bento, G. C.; Neto, J. X. Cruz; Lopes, J. O.; Soares, P. A.; Soubeyran, A. A proximal point algorithm with generalized proximal distances to BEPs. arXiv:1407.1939 Preprint, arXiv:1407.1939 [math.OC] (2014). MSC: 90C33 47J25 65K05 91E10 BibTeX Cite \textit{G. C. Bento} et al., ``A proximal point algorithm with generalized proximal distances to BEPs'', Preprint, arXiv:1407.1939 [math.OC] (2014) Full Text: arXiv OA License
Bento, G. C.; Neto, J. X. Cruz; Soares, P. A.; Soubeyran, A. Behavioral Traps and the Equilibrium Problem on Hadamard Manifolds. arXiv:1307.7200 Preprint, arXiv:1307.7200 [math.OC] (2013). MSC: 65K05 47J25 90C33 91E10 BibTeX Cite \textit{G. C. Bento} et al., ``Behavioral Traps and the Equilibrium Problem on Hadamard Manifolds'', Preprint, arXiv:1307.7200 [math.OC] (2013) Full Text: arXiv OA License
Bento, G. C.; Neto, J. X. da Cruz; Oliveira, P. R. Convergence of inexact descent methods for nonconvex optimization on Riemannian manifolds. arXiv:1103.4828 Preprint, arXiv:1103.4828 [math.NA] (2011). MSC: 40A05 47J25 49M37 49J52 65K05 65K15 90C26 90C56 58C99 BibTeX Cite \textit{G. C. Bento} et al., ``Convergence of inexact descent methods for nonconvex optimization on Riemannian manifolds'', Preprint, arXiv:1103.4828 [math.NA] (2011) Full Text: arXiv OA License