Behling, Roger; Bello-Cruz, Yunier; Iusem, Alfredo; Liu, Di; Santos, Luiz-Rafael A successive centralized circumcentered-reflection method for the convex feasibility problem. (English) Zbl 07790992 Comput. Optim. Appl. 87, No. 1, 83-116 (2024). MSC: 90C25 49M27 65K05 65B99 PDFBibTeX XMLCite \textit{R. Behling} et al., Comput. Optim. Appl. 87, No. 1, 83--116 (2024; Zbl 07790992) Full Text: DOI arXiv
Iusem, Alfredo N.; Marcavillaca, R. T. On proximal algorithms with inertial effects beyond monotonicity. (English) Zbl 07788041 Numer. Funct. Anal. Optim. 44, No. 15-16, 1583-1601 (2023). MSC: 90C25 90C30 47H05 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{R. T. Marcavillaca}, Numer. Funct. Anal. Optim. 44, No. 15--16, 1583--1601 (2023; Zbl 07788041) Full Text: DOI
Behling, Roger; Bello-Cruz, Yunier; Iusem, Alfredo; Liu, Di; Santos, Luiz-Rafael A finitely convergent circumcenter method for the Convex Feasibility Problem. arXiv:2308.09849 Preprint, arXiv:2308.09849 [math.OC] (2023). MSC: 49M27 65K05 65B99 90C25 BibTeX Cite \textit{R. Behling} et al., ``A finitely convergent circumcenter method for the Convex Feasibility Problem'', Preprint, arXiv:2308.09849 [math.OC] (2023) Full Text: arXiv OA License
Iusem, A.; Lara, F. Proximal point algorithms for quasiconvex pseudomonotone equilibrium problems. (English) Zbl 1492.90183 J. Optim. Theory Appl. 193, No. 1-3, 443-461 (2022). MSC: 90C33 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{F. Lara}, J. Optim. Theory Appl. 193, No. 1--3, 443--461 (2022; Zbl 1492.90183) Full Text: DOI
Araújo, G. H. M.; Arefidamghani, R.; Behling, R.; Bello-Cruz, Y.; Iusem, A.; Santos, L.-R. Circumcentering approximate reflections for solving the convex feasibility problem. (English) Zbl 07525630 Fixed Point Theory Algorithms Sci. Eng. 2022, Paper No. 1, 30 p. (2022). MSC: 49M27 65K05 65B99 90C25 PDFBibTeX XMLCite \textit{G. H. M. Araújo} et al., Fixed Point Theory Algorithms Sci. Eng. 2022, Paper No. 1, 30 p. (2022; Zbl 07525630) Full Text: DOI arXiv
Iusem, Alfredo N.; Melo, Jefferson G.; Serra, Ray G. A strongly convergent proximal point method for vector optimization. (English) Zbl 1475.90091 J. Optim. Theory Appl. 190, No. 1, 183-200 (2021). MSC: 90C29 90C25 90C30 49J52 90C48 PDFBibTeX XMLCite \textit{A. N. Iusem} et al., J. Optim. Theory Appl. 190, No. 1, 183--200 (2021; Zbl 1475.90091) Full Text: DOI
Arefidamghani, Reza; Behling, Roger; Bello-Cruz, Yunier; Iusem, Alfredo N.; Santos, Luiz-Rafael The circumcentered-reflection method achieves better rates than alternating projections. (English) Zbl 1470.49058 Comput. Optim. Appl. 79, No. 2, 507-530 (2021). MSC: 49M27 65K05 65B99 90C25 PDFBibTeX XMLCite \textit{R. Arefidamghani} et al., Comput. Optim. Appl. 79, No. 2, 507--530 (2021; Zbl 1470.49058) Full Text: DOI arXiv
Júdice, Joaquim J.; Fukushima, Masao; Iusem, Alfredo; Martinez, J. M.; Sessa, Valentina An alternating direction method of multipliers for the eigenvalue complementarity problem. (English) Zbl 1470.90143 Optim. Methods Softw. 36, No. 2-3, 337-370 (2021). MSC: 90C33 90C30 90C26 93B60 PDFBibTeX XMLCite \textit{J. J. Júdice} et al., Optim. Methods Softw. 36, No. 2--3, 337--370 (2021; Zbl 1470.90143) Full Text: DOI
Behling, Roger; Bello-Cruz, Yunier; Iusem, Alfredo N.; Santos, Luiz-Rafael On the centralization of the circumcentered-reflection method. arXiv:2111.07022 Preprint, arXiv:2111.07022 [math.OC] (2021). MSC: 49M27 65K05 65B99 90C25 BibTeX Cite \textit{R. Behling} et al., ``On the centralization of the circumcentered-reflection method'', Preprint, arXiv:2111.07022 [math.OC] (2021) Full Text: DOI arXiv OA License
Iusem, Alfredo; Lara, Felipe A note on: “Existence results for noncoercive mixed variational inequalities in finite dimensional spaces”. (English) Zbl 1468.90135 J. Optim. Theory Appl. 187, No. 2, 607-608 (2020). MSC: 90C33 90C25 90C26 90C30 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{F. Lara}, J. Optim. Theory Appl. 187, No. 2, 607--608 (2020; Zbl 1468.90135) Full Text: DOI
Iusem, A.; Lara, Felipe Quasiconvex optimization problems and asymptotic analysis in Banach spaces. (English) Zbl 1527.90173 Optimization 69, No. 11, 2453-2470 (2020). MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{F. Lara}, Optimization 69, No. 11, 2453--2470 (2020; Zbl 1527.90173) Full Text: DOI
Iusem, Alfredo N.; Mohebbi, Vahid Extragradient methods for nonsmooth equilibrium problems in Banach spaces. (English) Zbl 1460.90191 Optimization 69, No. 11, 2383-2403 (2020). MSC: 90C33 90C48 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{V. Mohebbi}, Optimization 69, No. 11, 2383--2403 (2020; Zbl 1460.90191) Full Text: DOI
Barragán, Abraham B.; Hernández, Lidia A.; Iusem, Alfredo N.; Todorov, Maxim I. Primal-dual partitions in linear semi-infinite programming with bounded coefficients. (English) Zbl 1485.90141 J. Nonlinear Var. Anal. 4, No. 2, 207-223 (2020). MSC: 90C34 PDFBibTeX XMLCite \textit{A. B. Barragán} et al., J. Nonlinear Var. Anal. 4, No. 2, 207--223 (2020; Zbl 1485.90141) Full Text: DOI
Iusem, Alfredo N.; Mohebbi, Vahid Convergence analysis of the extragradient method for equilibrium problems in Hadamard spaces. (English) Zbl 1449.90289 Comput. Appl. Math. 39, No. 2, Paper No. 44, 21 p. (2020). MSC: 90C25 90C30 90C33 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{V. Mohebbi}, Comput. Appl. Math. 39, No. 2, Paper No. 44, 21 p. (2020; Zbl 1449.90289) Full Text: DOI
Iusem, Alfredo N.; Jofré, Alejandro; Thompson, Philip Incremental constraint projection methods for monotone stochastic variational inequalities. (English) Zbl 1477.65101 Math. Oper. Res. 44, No. 1, 236-263 (2019). MSC: 65K15 90C33 90C15 62L20 PDFBibTeX XMLCite \textit{A. N. Iusem} et al., Math. Oper. Res. 44, No. 1, 236--263 (2019; Zbl 1477.65101) Full Text: DOI arXiv
Iusem, Alfredo N.; Júdice, Joaquim J.; Sessa, Valentina; Sarabando, Paula Splitting methods for the eigenvalue complementarity problem. (English) Zbl 1431.90157 Optim. Methods Softw. 34, No. 6, 1184-1212 (2019). MSC: 90C33 90C30 90C26 PDFBibTeX XMLCite \textit{A. N. Iusem} et al., Optim. Methods Softw. 34, No. 6, 1184--1212 (2019; Zbl 1431.90157) Full Text: DOI
Iusem, Alfredo; Lara, Felipe Existence results for noncoercive mixed variational inequalities in finite dimensional spaces. (English) Zbl 1434.90204 J. Optim. Theory Appl. 183, No. 1, 122-138 (2019). MSC: 90C33 90C25 90C26 90C30 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{F. Lara}, J. Optim. Theory Appl. 183, No. 1, 122--138 (2019; Zbl 1434.90204) Full Text: DOI
Iusem, A.; Lara, F. The \(q\)-asymptotic function in \(c\)-convex analysis. (English) Zbl 1436.90104 Optimization 68, No. 7, 1429-1445 (2019). Reviewer: Jan-Joachim Rückmann (Bergen) MSC: 90C25 49N15 90C46 90C30 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{F. Lara}, Optimization 68, No. 7, 1429--1445 (2019; Zbl 1436.90104) Full Text: DOI
Iusem, Alfredo N.; Mohebbi, Vahid Extragradient methods for vector equilibrium problems in Banach spaces. (English) Zbl 1412.90108 Numer. Funct. Anal. Optim. 40, No. 9, 993-1022 (2019). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{V. Mohebbi}, Numer. Funct. Anal. Optim. 40, No. 9, 993--1022 (2019; Zbl 1412.90108) Full Text: DOI
Iusem, Alfredo N.; Reem, Daniel; Reich, Simeon Fixed points of Legendre-Fenchel type transforms. (English) Zbl 1514.47082 J. Convex Anal. 26, No. 1, 275-298 (2019). MSC: 47H10 26B25 52A41 47N10 47H05 47J05 39B42 PDFBibTeX XMLCite \textit{A. N. Iusem} et al., J. Convex Anal. 26, No. 1, 275--298 (2019; Zbl 1514.47082) Full Text: arXiv Link
Iusem, Alfredo; Lara, Felipe Optimality conditions for vector equilibrium problems with applications. (English) Zbl 1409.90127 J. Optim. Theory Appl. 180, No. 1, 187-206 (2019). MSC: 90C20 90C26 90C32 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{F. Lara}, J. Optim. Theory Appl. 180, No. 1, 187--206 (2019; Zbl 1409.90127) Full Text: DOI
Iusem, Alfredo N.; Jofré, Alejandro; Oliveira, Roberto I.; Thompson, Philip Variance-based extragradient methods with line search for stochastic variational inequalities. (English) Zbl 1415.65145 SIAM J. Optim. 29, No. 1, 175-206 (2019). MSC: 65K15 90C33 90C15 62L20 PDFBibTeX XMLCite \textit{A. N. Iusem} et al., SIAM J. Optim. 29, No. 1, 175--206 (2019; Zbl 1415.65145) Full Text: DOI arXiv
Iusem, Alfredo N.; Lara, Felipe Second order asymptotic functions and applications to quadratic programming. (English) Zbl 1390.90415 J. Convex Anal. 25, No. 1, 271-291 (2018). MSC: 90C20 90C26 90C32 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{F. Lara}, J. Convex Anal. 25, No. 1, 271--291 (2018; Zbl 1390.90415) Full Text: Link
Iusem, Alfredo N.; Judice, Joaquim J.; Sessa, Valentina; Sherali, Hanif D. The second-order cone quadratic eigenvalue complementarity problem. (English) Zbl 1474.90478 Pac. J. Optim. 13, No. 3, 475-500 (2017). MSC: 90C33 90C30 90C26 90C25 PDFBibTeX XMLCite \textit{A. N. Iusem} et al., Pac. J. Optim. 13, No. 3, 475--500 (2017; Zbl 1474.90478) Full Text: Link
Brás, Carmo P.; Iusem, Alfredo N.; Júdice, Joaquim J. On the quadratic eigenvalue complementarity problem. (English) Zbl 1357.65072 J. Glob. Optim. 66, No. 2, 153-171 (2016). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 65F15 90C33 90C30 90C26 PDFBibTeX XMLCite \textit{C. P. Brás} et al., J. Glob. Optim. 66, No. 2, 153--171 (2016; Zbl 1357.65072) Full Text: DOI
Iusem, Alfredo N.; Júdice, Joaquim J.; Sessa, Valentina; Sherali, Hanif D. On the numerical solution of the quadratic eigenvalue complementarity problem. (English) Zbl 1343.65070 Numer. Algorithms 72, No. 3, 721-747 (2016). MSC: 65K05 90C33 65F15 90C26 PDFBibTeX XMLCite \textit{A. N. Iusem} et al., Numer. Algorithms 72, No. 3, 721--747 (2016; Zbl 1343.65070) Full Text: DOI
Gárciga Otero, Rolando; Iusem, Alfredo A proximal method with logarithmic barrier for nonlinear complementarity problems. (English) Zbl 1346.90777 J. Glob. Optim. 64, No. 4, 663-678 (2016). MSC: 90C33 90C51 PDFBibTeX XMLCite \textit{R. Gárciga Otero} and \textit{A. Iusem}, J. Glob. Optim. 64, No. 4, 663--678 (2016; Zbl 1346.90777) Full Text: DOI
Hadjisavvas, Nicolas (ed.); Iusem, Alfredo N. (ed.); Mordukhovich, Boris S. (ed.) Preface. (English) Zbl 1335.00149 J. Glob. Optim. 64, No. 4, 621-622 (2016). MSC: 00B25 90-06 PDFBibTeX XMLCite \textit{N. Hadjisavvas} (ed.) et al., J. Glob. Optim. 64, No. 4, 621--622 (2016; Zbl 1335.00149) Full Text: DOI
Bello Cruz, J. Y.; Iusem, A. N. Full convergence of an approximate projection method for nonsmooth variational inequalities. (English) Zbl 07313374 Math. Comput. Simul. 114, 2-13 (2015). MSC: 90C47 49J35 PDFBibTeX XMLCite \textit{J. Y. Bello Cruz} and \textit{A. N. Iusem}, Math. Comput. Simul. 114, 2--13 (2015; Zbl 07313374) Full Text: DOI
Brás, Carmo P.; Fukushima, Masao; Iusem, Alfredo N.; Júdice, Joaquim J. On the quadratic eigenvalue complementarity problem over a general convex cone. (English) Zbl 1410.90213 Appl. Math. Comput. 271, 594-608 (2015). MSC: 90C33 65F15 90C26 90C30 PDFBibTeX XMLCite \textit{C. P. Brás} et al., Appl. Math. Comput. 271, 594--608 (2015; Zbl 1410.90213) Full Text: DOI
Burachik, Regina S.; Iusem, Alfredo N.; Melo, Jefferson G. The exact penalty map for nonsmooth and nonconvex optimization. (English) Zbl 1312.49045 Optimization 64, No. 4, 717-738 (2015). MSC: 49N15 49M29 90C26 65K10 PDFBibTeX XMLCite \textit{R. S. Burachik} et al., Optimization 64, No. 4, 717--738 (2015; Zbl 1312.49045) Full Text: DOI
Iusem, Alfredo N.; Reem, Daniel; Svaiter, Benar F. Order preserving and order reversing operators on the class of convex functions in Banach spaces. (English) Zbl 1314.46085 J. Funct. Anal. 268, No. 1, 73-92 (2015). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46N10 46B10 52A41 PDFBibTeX XMLCite \textit{A. N. Iusem} et al., J. Funct. Anal. 268, No. 1, 73--92 (2015; Zbl 1314.46085) Full Text: DOI arXiv
Ferreira, O. P.; Iusem, A. N.; Németh, S. Z. Concepts and techniques of optimization on the sphere. (English) Zbl 1336.26015 Top 22, No. 3, 1148-1170 (2014). MSC: 26B25 90C25 PDFBibTeX XMLCite \textit{O. P. Ferreira} et al., Top 22, No. 3, 1148--1170 (2014; Zbl 1336.26015) Full Text: DOI
Fernandes, Luís M.; Júdice, Joaquim J.; Fukushima, Masao; Iusem, Alfredo On the symmetric quadratic eigenvalue complementarity problem. (English) Zbl 1299.90342 Optim. Methods Softw. 29, No. 4, 751-770 (2014). MSC: 90C33 90C30 90C26 PDFBibTeX XMLCite \textit{L. M. Fernandes} et al., Optim. Methods Softw. 29, No. 4, 751--770 (2014; Zbl 1299.90342) Full Text: DOI
Behling, R.; Fischer, A.; Herrich, M.; Iusem, A.; Ye, Y. A Levenberg-Marquardt method with approximate projections. (English) Zbl 1298.90103 Comput. Optim. Appl. 59, No. 1-2, 5-26 (2014). MSC: 90C30 PDFBibTeX XMLCite \textit{R. Behling} et al., Comput. Optim. Appl. 59, No. 1--2, 5--26 (2014; Zbl 1298.90103) Full Text: DOI
Iusem, Alfredo N.; Svaiter, Benar F. Splitting methods for finding zeroes of sums of maximal monotone operators in Banach spaces. (English) Zbl 1291.47055 J. Nonlinear Convex Anal. 15, No. 2, 379-397 (2014). Reviewer: K. C. Sivakumar (Chennai) MSC: 47J25 47H05 90C25 49M27 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{B. F. Svaiter}, J. Nonlinear Convex Anal. 15, No. 2, 379--397 (2014; Zbl 1291.47055) Full Text: Link
Ferreira, O. P.; Iusem, A. N.; Németh, S. Z. Projections onto convex sets on the sphere. (English) Zbl 1312.90055 J. Glob. Optim. 57, No. 3, 663-676 (2013). MSC: 90C25 PDFBibTeX XMLCite \textit{O. P. Ferreira} et al., J. Glob. Optim. 57, No. 3, 663--676 (2013; Zbl 1312.90055) Full Text: DOI
Burachik, Regina S.; Iusem, Alfredo N.; Melo, Jefferson G. An inexact modified subgradient algorithm for primal-dual problems via augmented Lagrangians. (English) Zbl 1266.90194 J. Optim. Theory Appl. 157, No. 1, 108-131 (2013). MSC: 90C48 90C52 PDFBibTeX XMLCite \textit{R. S. Burachik} et al., J. Optim. Theory Appl. 157, No. 1, 108--131 (2013; Zbl 1266.90194) Full Text: DOI
Goberna, M. A.; Iusem, A.; Martínez-Legaz, J. E.; Todorov, M. I. Motzkin decomposition of closed convex sets via truncation. (English) Zbl 1262.52002 J. Math. Anal. Appl. 400, No. 1, 35-47 (2013). MSC: 52A20 90C25 90C05 PDFBibTeX XMLCite \textit{M. A. Goberna} et al., J. Math. Anal. Appl. 400, No. 1, 35--47 (2013; Zbl 1262.52002) Full Text: DOI Link
Cruz, J. Y. Bello; Iusem, A. N. An explicit algorithm for monotone variational inequalities. (English) Zbl 1252.90088 Optimization 61, No. 7, 855-871 (2012). MSC: 90C47 49J35 PDFBibTeX XMLCite \textit{J. Y. B. Cruz} and \textit{A. N. Iusem}, Optimization 61, No. 7, 855--871 (2012; Zbl 1252.90088) Full Text: DOI
Iusem, A. N.; Svaiter, Benar Fux On diagonal subdifferential operators in nonreflexive Banach spaces. (English) Zbl 1242.90288 Set-Valued Var. Anal. 20, No. 1, 1-14 (2012). MSC: 90C47 49J35 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{B. F. Svaiter}, Set-Valued Var. Anal. 20, No. 1, 1--14 (2012; Zbl 1242.90288) Full Text: DOI
Bello Cruz, J. Y.; Iusem, A. N. A strongly convergent method for nonsmooth convex minimization in Hilbert spaces. (English) Zbl 1232.90319 Numer. Funct. Anal. Optim. 32, No. 10, 1009-1018 (2011). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{J. Y. Bello Cruz} and \textit{A. N. Iusem}, Numer. Funct. Anal. Optim. 32, No. 10, 1009--1018 (2011; Zbl 1232.90319) Full Text: DOI
Iusem, Alfredo N. On the maximal monotonicity of diagonal subdifferential operators. (English) Zbl 1223.90076 J. Convex Anal. 18, No. 2, 489-503 (2011). Reviewer: Zhang Xian (Xiamen) MSC: 90C47 49J35 PDFBibTeX XMLCite \textit{A. N. Iusem}, J. Convex Anal. 18, No. 2, 489--503 (2011; Zbl 1223.90076) Full Text: Link
Iusem, Alfredo N.; Sosa, Wilfredo On the proximal point method for equilibrium problems in Hilbert spaces. (English) Zbl 1206.90212 Optimization 59, No. 7-8, 1259-1274 (2010). MSC: 90C47 49J35 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{W. Sosa}, Optimization 59, No. 7--8, 1259--1274 (2010; Zbl 1206.90212) Full Text: DOI
Burachik, R. S.; Iusem, A. N.; Melo, J. G. Duality and exact penalization for general augmented Lagrangians. (English) Zbl 1211.90284 J. Optim. Theory Appl. 147, No. 1, 125-140 (2010). Reviewer: Nicolas Hadjisavvas (Hermoupolis) MSC: 90C48 PDFBibTeX XMLCite \textit{R. S. Burachik} et al., J. Optim. Theory Appl. 147, No. 1, 125--140 (2010; Zbl 1211.90284) Full Text: DOI
Bello Cruz, J. Y.; Iusem, A. N. Convergence of direct methods for paramonotone variational inequalities. (English) Zbl 1220.90129 Comput. Optim. Appl. 46, No. 2, 247-263 (2010). MSC: 90C33 PDFBibTeX XMLCite \textit{J. Y. Bello Cruz} and \textit{A. N. Iusem}, Comput. Optim. Appl. 46, No. 2, 247--263 (2010; Zbl 1220.90129) Full Text: DOI
Burachik, Regina S.; Iusem, Alfredo N.; Melo, Jefferson G. A primal dual modified subgradient algorithm with sharp Lagrangian. (English) Zbl 1188.90200 J. Glob. Optim. 46, No. 3, 347-361 (2010). MSC: 90C26 49M29 49M37 PDFBibTeX XMLCite \textit{R. S. Burachik} et al., J. Glob. Optim. 46, No. 3, 347--361 (2010; Zbl 1188.90200) Full Text: DOI
Iusem, Alfredo N.; Resmerita, Elena A proximal point method in nonreflexive Banach spaces. (English) Zbl 1189.90196 Set-Valued Var. Anal. 18, No. 1, 109-120 (2010). MSC: 90C48 49J53 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{E. Resmerita}, Set-Valued Var. Anal. 18, No. 1, 109--120 (2010; Zbl 1189.90196) Full Text: DOI
Iusem, Alfredo N.; Nasri, Mostafa Augmented Lagrangian methods for variational inequality problems. (English) Zbl 1187.90293 RAIRO, Oper. Res. 44, No. 1, 5-25 (2010). MSC: 90C33 90C47 49J35 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{M. Nasri}, RAIRO, Oper. Res. 44, No. 1, 5--25 (2010; Zbl 1187.90293) Full Text: DOI Numdam EuDML
Iusem, Alfredo N.; Kassay, Gábor; Sosa, Wilfredo An existence result for equilibrium problems with some surjectivity consequences. (English) Zbl 1200.90164 J. Convex Anal. 16, No. 3-4, 807-826 (2009). Reviewer: Fabián Flores-Bazan (Concepción) MSC: 90C33 90C47 49J35 PDFBibTeX XMLCite \textit{A. N. Iusem} et al., J. Convex Anal. 16, No. 3--4, 807--826 (2009; Zbl 1200.90164) Full Text: Link
Iusem, Alfredo; Seeger, Alberto Searching for critical angles in a convex cone. (English) Zbl 1163.52003 Math. Program. 120, No. 1 (B), 3-25 (2009). MSC: 52A40 90C26 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{A. Seeger}, Math. Program. 120, No. 1 (B), 3--25 (2009; Zbl 1163.52003) Full Text: DOI
Bello Cruz, J. Y.; Iusem, A. N. A strongly convergent direct method for monotone variational inequalities in Hilbert spaces. (English) Zbl 1161.49002 Numer. Funct. Anal. Optim. 30, No. 1-2, 23-36 (2009). MSC: 49J40 65K05 90C30 47H05 49M37 PDFBibTeX XMLCite \textit{J. Y. Bello Cruz} and \textit{A. N. Iusem}, Numer. Funct. Anal. Optim. 30, No. 1--2, 23--36 (2009; Zbl 1161.49002) Full Text: DOI
Iusem, Alfredo N.; Kassay, Gábor; Sosa, Wilfredo On certain conditions for the existence of solutions of equilibrium problems. (English) Zbl 1158.90009 Math. Program. 116, No. 1-2 (B), 259-273 (2009). MSC: 90C47 49J35 PDFBibTeX XMLCite \textit{A. N. Iusem} et al., Math. Program. 116, No. 1--2 (B), 259--273 (2009; Zbl 1158.90009) Full Text: DOI
Iusem, Alfredo; Seeger, Alberto Antipodal pairs, critical pairs, and Nash angular equilibria in convex cones. (English) Zbl 1146.90052 Optim. Methods Softw. 23, No. 1, 73-93 (2008). MSC: 90C26 52A40 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{A. Seeger}, Optim. Methods Softw. 23, No. 1, 73--93 (2008; Zbl 1146.90052) Full Text: DOI
Iusem, Alfredo; Seeger, Alberto Computing the radius of pointedness of a convex cone. (English) Zbl 1219.52001 Math. Program. 111, No. 1-2 (B), 217-241 (2008). Reviewer: Gongyun Zhao (Singapore) MSC: 52A07 90C51 90C25 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{A. Seeger}, Math. Program. 111, No. 1--2 (B), 217--241 (2008; Zbl 1219.52001) Full Text: DOI
Iusem, Alfredo N. (ed.); Lucena, Abilio (ed.); Maculan, Nelson (ed.) Special issue: ISMP 2006. Selected papers based on the presentations at the 19th international symposium on mathematical programming, Rio de Janeiro, Brazil, July 31 – August 4, 2006. (English) Zbl 1122.90301 Math. Program. 112, No. 1 (B), 274 p. (2008). MSC: 90-06 00B25 90Cxx PDFBibTeX XML
Iusem, Alfredo; Seeger, Alberto Angular analysis of two classes of non-polyhedral convex cones: the point of view of optimization theory. (English) Zbl 1182.90072 Comput. Appl. Math. 26, No. 2, 191-214 (2007). MSC: 90C26 52A40 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{A. Seeger}, Comput. Appl. Math. 26, No. 2, 191--214 (2007; Zbl 1182.90072) Full Text: Link
Iusem, Alfredo N.; Nasri, Mostafa Inexact proximal point methods for equilibrium problems in Banach spaces. (English) Zbl 1144.65041 Numer. Funct. Anal. Optim. 28, No. 11-12, 1279-1308 (2007). Reviewer: Tran Nhu Pham (Hanoi) MSC: 65K05 90C48 90C30 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{M. Nasri}, Numer. Funct. Anal. Optim. 28, No. 11--12, 1279--1308 (2007; Zbl 1144.65041) 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
Iusem, Alfredo; Seeger, Alberto On convex cones with infinitely many critical angles. (English) Zbl 1121.52008 Optimization 56, No. 1-2, 115-128 (2007). MSC: 52A20 52A40 90C26 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{A. Seeger}, Optimization 56, No. 1--2, 115--128 (2007; Zbl 1121.52008) Full Text: DOI
Gárciga Otero, Rolando; Iusem, Alfredo N. Proximal methods in reflexive Banach spaces without monotonicity. (English) Zbl 1160.90692 J. Math. Anal. Appl. 330, No. 1, 433-450 (2007). MSC: 90C48 49J53 PDFBibTeX XMLCite \textit{R. Gárciga Otero} and \textit{A. N. Iusem}, J. Math. Anal. Appl. 330, No. 1, 433--450 (2007; Zbl 1160.90692) Full Text: DOI
Burachik, R. S.; Iusem, A. N. On non-enlargeable and fully enlargeable monotone operators. (English) Zbl 1116.47044 J. Convex Anal. 13, No. 3-4, 603-622 (2006). Reviewer: Sergei V. Rogosin (Minsk) MSC: 47H05 47N10 49J53 PDFBibTeX XMLCite \textit{R. S. Burachik} and \textit{A. N. Iusem}, J. Convex Anal. 13, No. 3--4, 603--622 (2006; Zbl 1116.47044)
Iusem, Alfredo; Seeger, Alberto Axiomatization of the index of pointedness for closed convex cones. (English) Zbl 1218.52005 Comput. Appl. Math. 24, No. 2, 245-283 (2005). MSC: 52A07 90C51 90C25 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{A. Seeger}, Comput. Appl. Math. 24, No. 2, 245--283 (2005; Zbl 1218.52005) Full Text: Link
Iusem, Alfredo; Seeger, Alberto On pairs of vectors achieving the maximal angle of a convex cone. (English) Zbl 1087.52005 Math. Program. 104, No. 2-3 (B), 501-523 (2005). Reviewer: Johann Linhart (Salzburg) MSC: 52A40 90C26 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{A. Seeger}, Math. Program. 104, No. 2--3 (B), 501--523 (2005; Zbl 1087.52005) Full Text: DOI
Bonnel, Henri; Iusem, Alfredo Noel; Svaiter, Benar Fux Proximal methods in vector optimization. (English) Zbl 1093.90054 SIAM J. Optim. 15, No. 4, 953-970 (2005). MSC: 90C29 49J52 49M99 65K05 65K10 90C25 90C48 PDFBibTeX XMLCite \textit{H. Bonnel} et al., SIAM J. Optim. 15, No. 4, 953--970 (2005; Zbl 1093.90054) Full Text: DOI
Iusem, Alfredo N.; Kallio, Markku An interior point method for constrained saddle point problems. (English) Zbl 1213.90198 Comput. Appl. Math. 23, No. 1, 1-31 (2004). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{M. Kallio}, Comput. Appl. Math. 23, No. 1, 1--31 (2004; Zbl 1213.90198) Full Text: Link
Gárciga Otero, Rolando; Iusem, Alfredo Proximal methods with penalization effects in Banach spaces. (English) Zbl 1062.90066 Numer. Funct. Anal. Optimization 25, No. 1-2, 69-91 (2004). MSC: 90C48 PDFBibTeX XMLCite \textit{R. Gárciga Otero} and \textit{A. Iusem}, Numer. Funct. Anal. Optim. 25, No. 1--2, 69--91 (2004; Zbl 1062.90066) Full Text: DOI
Graña Drummond, L. M.; Iusem, A. N. A projected gradient method for vector optimization problems. (English) Zbl 1056.90126 Comput. Optim. Appl. 28, No. 1, 5-29 (2004). MSC: 90C29 90C52 PDFBibTeX XMLCite \textit{L. M. Graña Drummond} and \textit{A. N. Iusem}, Comput. Optim. Appl. 28, No. 1, 5--29 (2004; Zbl 1056.90126) Full Text: DOI
Iusem, A. N. On the convergence properties of the projected gradient method for convex optimization. (English) Zbl 1213.90197 Comput. Appl. Math. 22, No. 1, 37-52 (2003). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{A. N. Iusem}, Comput. Appl. Math. 22, No. 1, 37--52 (2003; Zbl 1213.90197) Full Text: Link
Iusem, Alfredo N.; Sosa, Wilfredo Iterative algorithms for equilibrium problems. (English) Zbl 1176.90640 Optimization 52, No. 3, 301-316 (2003). MSC: 90C47 90C33 49J40 49M37 65K05 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{W. Sosa}, Optimization 52, No. 3, 301--316 (2003; Zbl 1176.90640) Full Text: DOI
Graña Drummond, L. M.; Iusem, A. N.; Svaiter, B. F. On first order optimality conditions for vector optimization. (English) Zbl 1044.90050 Acta Math. Appl. Sin., Engl. Ser. 19, No. 3, 371-386 (2003). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{L. M. Graña Drummond} et al., Acta Math. Appl. Sin., Engl. Ser. 19, No. 3, 371--386 (2003; Zbl 1044.90050) Full Text: DOI
Iusem, A. N.; Pennanen, T.; Svaiter, B. F. Inexact variants of the proximal point algorithm without monotonicity. (English) Zbl 1053.90134 SIAM J. Optim. 13, No. 4, 1080-1097 (2003). Reviewer: Vincentiu Dumitru (Bucureşti) MSC: 90C48 90C25 49J53 90C30 65K10 90-08 PDFBibTeX XMLCite \textit{A. N. Iusem} et al., SIAM J. Optim. 13, No. 4, 1080--1097 (2003; Zbl 1053.90134) Full Text: DOI
Graña Drummond, L. M.; Iusem, A. N. First order conditions for ideal minimization of matrix-valued problems. (English) Zbl 1091.90070 J. Convex Anal. 10, No. 1, 129-147 (2003). MSC: 90C29 90C46 PDFBibTeX XMLCite \textit{L. M. Graña Drummond} and \textit{A. N. Iusem}, J. Convex Anal. 10, No. 1, 129--147 (2003; Zbl 1091.90070) Full Text: Link
Butnariu, Dan; Iusem, Alfredo N.; Zălinescu, Constantin On uniform convexity, total convexity and convergence of the proximal point and outer Bregman projection algorithms in Banach spaces. (English) Zbl 1091.90078 J. Convex Anal. 10, No. 1, 35-61 (2003). MSC: 90C48 90C26 46B20 46N10 47H07 49J27 PDFBibTeX XMLCite \textit{D. Butnariu} et al., J. Convex Anal. 10, No. 1, 35--61 (2003; Zbl 1091.90078) Full Text: Link
Iusem, Alfredo N.; Sosa, Wilfredo New existence results for equilibrium problems. (English) Zbl 1017.49008 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 2, 621-635 (2003). MSC: 49J35 49J40 90C47 90C33 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{W. Sosa}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 2, 621--635 (2003; Zbl 1017.49008) Full Text: DOI
Iusem, Alfredo; Gárciga Otero, Rolando Augmented Lagrangian methods for cone-constrained convex optimization in Banach spaces. (English) Zbl 1175.90414 J. Nonlinear Convex Anal. 3, No. 2, 155-176 (2002). Reviewer: Dan Butnariu (Haifa) (MR1924764) MSC: 90C48 49J40 90C25 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{R. Gárciga Otero}, J. Nonlinear Convex Anal. 3, No. 2, 155--176 (2002; Zbl 1175.90414)
Alber, Ya. I.; Iusem, A. N. Extension of subgradient techniques for nonsmooth optimization in Banach spaces. (English) Zbl 1049.90123 Set-Valued Anal. 9, No. 4, 315-335 (2001). MSC: 90C48 46N10 90C25 PDFBibTeX XMLCite \textit{Ya. I. Alber} and \textit{A. N. Iusem}, Set-Valued Anal. 9, No. 4, 315--335 (2001; Zbl 1049.90123) Full Text: DOI
Iusem, Alfredo; Gárciga Otero, Rolando Inexact versions of proximal point and augmented Lagrangian algorithms in Banach spaces. (English) Zbl 1018.90067 Numer. Funct. Anal. Optimization 22, No. 5-6, 609-640 (2001). MSC: 90C48 49J40 49M30 90C25 46N10 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{R. Gárciga Otero}, Numer. Funct. Anal. Optim. 22, No. 5--6, 609--640 (2001; Zbl 1018.90067) Full Text: DOI
Graña Drummond, L. M.; Iusem, A. N. Welldefinedness and limiting behavior of the central path. (English) Zbl 1119.90340 Comput. Appl. Math. 19, No. 1, 57-78 (2000). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{L. M. Graña Drummond} and \textit{A. N. Iusem}, Comput. Appl. Math. 19, No. 1, 57--78 (2000; Zbl 1119.90340)
Iusem, Alfredo; Monteiro, Renato D. C. On dual convergence of the generalized proximal point method with Bregman distances. (English) Zbl 0980.90064 Math. Oper. Res. 25, No. 4, 606-624 (2000). Reviewer: Gerhard-Wilhelm Weber (Darmstadt) MSC: 90C25 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{R. D. C. Monteiro}, Math. Oper. Res. 25, No. 4, 606--624 (2000; Zbl 0980.90064) Full Text: DOI Link
Iusem, Alfredo N.; Lucambio Pérez, Luis R. An extragradient-type algorithm for non-smooth variational inequalities. (English) Zbl 0979.49009 Optimization 48, No. 3, 309-332 (2000). MSC: 49J40 90C52 90C33 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{L. R. Lucambio Pérez}, Optimization 48, No. 3, 309--332 (2000; Zbl 0979.49009) Full Text: DOI
Graña Drummond, L. M.; Iusem, Alfredo Noel; Svaiter, B. F. On the central path for nonlinear semidefinite programming. (English) Zbl 0971.90088 RAIRO, Oper. Res. 34, No. 3, 331-345 (2000). MSC: 90C31 90C25 PDFBibTeX XMLCite \textit{L. M. Graña Drummond} et al., RAIRO, Oper. Res. 34, No. 3, 331--345 (2000; Zbl 0971.90088) Full Text: DOI Numdam EuDML
Butnariu, Dan; Iusem, Alfredo N. Totally convex functions for fixed points computation and infinite dimensional optimization. (English) Zbl 0960.90092 Applied Optimization. 40. Dordrecht: Kluwer Academic Publishers. xvi, 202 p. (2000). Reviewer: Bruce D.Craven (Parkville) MSC: 90C48 90-02 PDFBibTeX XMLCite \textit{D. Butnariu} and \textit{A. N. Iusem}, Totally convex functions for fixed points computation and infinite dimensional optimization. Dordrecht: Kluwer Academic Publishers (2000; Zbl 0960.90092)
Butnariu, Dan; Iusem, Alfredo N.; Burachik, Regina S. Iterative methods of solving stochastic convex feasibility problems and applications. (English) Zbl 0947.90080 Comput. Optim. Appl. 15, No. 3, 269-307 (2000). MSC: 90C15 PDFBibTeX XMLCite \textit{D. Butnariu} et al., Comput. Optim. Appl. 15, No. 3, 269--307 (2000; Zbl 0947.90080) Full Text: DOI
Burachik, Regina S.; Iusem, Alfredo N. A generalized proximal point algorithm for the nonlinear complementarity problem. (English) Zbl 0961.90117 RAIRO, Oper. Res. 33, No. 4, 447-479 (1999). MSC: 90C33 90C30 PDFBibTeX XMLCite \textit{R. S. Burachik} and \textit{A. N. Iusem}, RAIRO, Oper. Res. 33, No. 4, 447--479 (1999; Zbl 0961.90117) Full Text: DOI Numdam EuDML
D’Apuzzo, M.; Iusem, A. N.; Maddalena, M. R. Row-action algorithms for large and sparse convex programming problems. (English) Zbl 0930.65073 Maugeri, A. (ed.) et al., The proceedings of the workshop “Numerical methods in optimization”, Cortona, Arezzo, Italy, June 9–12, 1997. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 58, 81-100 (1999). MSC: 65K05 90C25 65Y05 90C53 90C06 PDFBibTeX XMLCite \textit{M. D'Apuzzo} et al., in: The proceedings of the workshop ``Numerical methods in optimization'', Cortona, Arezzo, Italy, June 9--12, 1997. Palermo: Circolo Matemàtico di Palermo. 81--100 (1999; Zbl 0930.65073)
Iusem, Alfredo N.; Svaiter, B. F.; da Cruz Neto, João Xavier Central paths, generalized proximal point methods, and Cauchy trajectories in Riemannian manifolds. (English) Zbl 0918.90113 SIAM J. Control Optimization 37, No. 2, 566-588 (1999). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{A. N. Iusem} et al., SIAM J. Control Optim. 37, No. 2, 566--588 (1999; Zbl 0918.90113) Full Text: DOI
Censor, Yair; Iusem, Alfredo N.; Zenios, Stavros A. An interior point method with Bregman functions for the variational inequality problem with paramonotone operators. (English) Zbl 0919.90123 Math. Program. 81, No. 3 (A), 373-400 (1998). MSC: 90C25 PDFBibTeX XMLCite \textit{Y. Censor} et al., Math. Program. 81, No. 3 (A), 373--400 (1998; Zbl 0919.90123) Full Text: DOI
Alber, Ya. I.; Iusem, A. N.; Solodov, M. V. On the projected subgradient method for nonsmooth convex optimization in a Hilbert space. (English) Zbl 0919.90122 Math. Program. 81, No. 1 (A), 23-35 (1998). MSC: 90C25 49J52 90C48 PDFBibTeX XMLCite \textit{Ya. I. Alber} et al., Math. Program. 81, No. 1 (A), 23--35 (1998; Zbl 0919.90122) Full Text: DOI
Iusem, Alfredo N. On some properties of paramonotone operators. (English) Zbl 0914.90216 J. Convex Anal. 5, No. 2, 269-278 (1998). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{A. N. Iusem}, J. Convex Anal. 5, No. 2, 269--278 (1998; Zbl 0914.90216) Full Text: EuDML
Iusem, A. N. On some properties of generalized proximal point methods for variational inequalities. (English) Zbl 0905.90170 J. Optimization Theory Appl. 96, No. 2, 337-362 (1998). MSC: 90C33 49J40 PDFBibTeX XMLCite \textit{A. N. Iusem}, J. Optim. Theory Appl. 96, No. 2, 337--362 (1998; Zbl 0905.90170) Full Text: DOI
Burachik, Regina S.; Iusem, Alfredo N. A generalized proximal point algorithm for the variational inequality problem in a Hilbert space. (English) Zbl 0911.90273 SIAM J. Optim. 8, No. 1, 197-216 (1998). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{R. S. Burachik} and \textit{A. N. Iusem}, SIAM J. Optim. 8, No. 1, 197--216 (1998; Zbl 0911.90273) Full Text: DOI
Alber, Y. I.; Burachik, R. S.; Iusem, A. N. A proximal point method for nonsmooth convex optimization problems in Banach spaces. (English) Zbl 0947.90091 Abstr. Appl. Anal. 2, No. 1-2, 97-120 (1997). MSC: 90C25 46N10 PDFBibTeX XMLCite \textit{Y. I. Alber} et al., Abstr. Appl. Anal. 2, No. 1--2, 97--120 (1997; Zbl 0947.90091) Full Text: DOI EuDML Link
Alber, Ya. I.; Iusem, A. N.; Solodov, M. V. Minimization of nonsmooth convex functionals in Banach spaces. (English) Zbl 0895.90150 J. Convex Anal. 4, No. 2, 235-255 (1997). MSC: 90C25 49J52 90C30 49J40 PDFBibTeX XMLCite \textit{Ya. I. Alber} et al., J. Convex Anal. 4, No. 2, 235--255 (1997; Zbl 0895.90150) Full Text: EuDML EMIS
Iusem, A. N.; Svaiter, B. F. A variant of Korpelevich’s method for variational inequalities with a new search strategy. (English) Zbl 0891.90135 Optimization 42, No. 4, 309-321 (1997), addendum ibid. 43, No. 1, 85 (1998). MSC: 90C25 49J40 90C30 90C33 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{B. F. Svaiter}, Optimization 42, No. 4, 309--321 (1997; Zbl 0891.90135) Full Text: DOI
Iusem, Alfredo N.; Solodov, Michael V. Newton-type methods with generalized distances for constrained optimization. (English) Zbl 0905.49015 Optimization 41, No. 3, 257-278 (1997). Reviewer: A.Shapiro (Pretoria) MSC: 49M37 90C30 65K05 49K40 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{M. V. Solodov}, Optimization 41, No. 3, 257--278 (1997; Zbl 0905.49015) Full Text: DOI
Iusem, Alfredo Noel An interior point method for the nonlinear complementarity problem. (English) Zbl 0882.65057 Appl. Numer. Math. 24, No. 4, 469-482 (1997). Reviewer: H.Benker (Merseburg) MSC: 65K05 90C33 PDFBibTeX XMLCite \textit{A. N. Iusem}, Appl. Numer. Math. 24, No. 4, 469--482 (1997; Zbl 0882.65057) Full Text: DOI
Burachik, Regina S.; Iusem, Alfredo N.; Svaiter, B. F. Enlargement of monotone operators with applications to variational inequalities. (English) Zbl 0882.90105 Set-Valued Anal. 5, No. 2, 159-180 (1997). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{R. S. Burachik} et al., Set-Valued Anal. 5, No. 2, 159--180 (1997; Zbl 0882.90105) Full Text: DOI
Iusem, Alfredo N. Steepest descent methods with generalized distances for constrained optimization. (English) Zbl 0873.90089 Acta Appl. Math. 46, No. 2, 225-246 (1997). MSC: 90C30 90C25 PDFBibTeX XMLCite \textit{A. N. Iusem}, Acta Appl. Math. 46, No. 2, 225--246 (1997; Zbl 0873.90089) Full Text: DOI
Iusem, Alfredo N.; Svaiter, B. F.; Teboulle, Marc Multiplicative interior gradient methods for minimization over the nonnegative orthant. (English) Zbl 0841.49012 SIAM J. Control Optimization 34, No. 1, 389-406 (1996). MSC: 90C52 90C25 90C30 65K10 PDFBibTeX XMLCite \textit{A. N. Iusem} et al., SIAM J. Control Optim. 34, No. 1, 389--406 (1996; Zbl 0841.49012) Full Text: DOI