Quiroz, E. A. Papa; Soubeyran, A.; Oliveira, P. R. Coercivity and generalized proximal algorithms: application – traveling around the world. (English) Zbl 1512.90172 Ann. Oper. Res. 321, No. 1-2, 451-467 (2023). MSC: 90C25 49J52 49M37 90C30 91B16 PDFBibTeX XMLCite \textit{E. A. P. Quiroz} et al., Ann. Oper. Res. 321, No. 1--2, 451--467 (2023; Zbl 1512.90172) Full Text: DOI
Chen, Hong-Mei; Cai, Xing-Ju; Xu, Ling-Ling Approximate customized proximal point algorithms for separable convex optimization. (English) Zbl 1524.90246 J. Oper. Res. Soc. China 11, No. 2, 383-408 (2023). MSC: 90C25 65K05 PDFBibTeX XMLCite \textit{H.-M. Chen} et al., J. Oper. Res. Soc. China 11, No. 2, 383--408 (2023; Zbl 1524.90246) Full Text: DOI
Pătraşcu, Andrei; Irofti, Paul On finite termination of an inexact proximal point algorithm. (English) Zbl 1503.65129 Appl. Math. Lett. 134, Article ID 108348, 7 p. (2022). MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{A. Pătraşcu} and \textit{P. Irofti}, Appl. Math. Lett. 134, Article ID 108348, 7 p. (2022; Zbl 1503.65129) Full Text: DOI
Yang, Lei; Toh, Kim-Chuan Bregman proximal point algorithm revisited: a new inexact version and its inertial variant. (English) Zbl 1496.90108 SIAM J. Optim. 32, No. 3, 1523-1554 (2022). MSC: 90C46 49K35 90C30 65K05 PDFBibTeX XMLCite \textit{L. Yang} and \textit{K.-C. Toh}, SIAM J. Optim. 32, No. 3, 1523--1554 (2022; Zbl 1496.90108) Full Text: DOI arXiv
Souto, Mario; Garcia, Joaquim D.; Veiga, Álvaro Exploiting low-rank structure in semidefinite programming by approximate operator splitting. (English) Zbl 1486.90141 Optimization 71, No. 1, 117-144 (2022). MSC: 90C22 PDFBibTeX XMLCite \textit{M. Souto} et al., Optimization 71, No. 1, 117--144 (2022; Zbl 1486.90141) Full Text: DOI arXiv
Jiang, Fan; Cai, Xingju; Han, Deren The indefinite proximal point algorithms for maximal monotone operators. (English) Zbl 1476.90310 Optimization 70, No. 8, 1759-1790 (2021). MSC: 90C30 90C33 65K05 PDFBibTeX XMLCite \textit{F. Jiang} et al., Optimization 70, No. 8, 1759--1790 (2021; Zbl 1476.90310) Full Text: DOI
Ansari, Qamrul; Babu, Feeroz; Yao, Jen-Chih Inexact proximal point algorithms for inclusion problems on Hadamard manifolds. (English) Zbl 1462.49032 J. Nonlinear Convex Anal. 21, No. 10, 2417-2432 (2020). MSC: 49J53 49J52 90C29 90C30 49J45 PDFBibTeX XMLCite \textit{Q. Ansari} et al., J. Nonlinear Convex Anal. 21, No. 10, 2417--2432 (2020; Zbl 1462.49032) Full Text: Link
Liu, Deyi; Tran-Dinh, Quoc An inexact interior-point Lagrangian decomposition algorithm with inexact oracles. (English) Zbl 1445.90082 J. Optim. Theory Appl. 185, No. 3, 903-926 (2020). MSC: 90C25 90-08 PDFBibTeX XMLCite \textit{D. Liu} and \textit{Q. Tran-Dinh}, J. Optim. Theory Appl. 185, No. 3, 903--926 (2020; Zbl 1445.90082) Full Text: DOI arXiv
Nguyen, Luong Van; Ansari, Qamrul Hasan; Qin, Xiaolong Linear conditioning, weak sharpness and finite convergence for equilibrium problems. (English) Zbl 1442.90189 J. Glob. Optim. 77, No. 2, 405-424 (2020). Reviewer: Sorin-Mihai Grad (Wien) MSC: 90C33 47J20 65K10 65K15 49J40 PDFBibTeX XMLCite \textit{L. Van Nguyen} et al., J. Glob. Optim. 77, No. 2, 405--424 (2020; Zbl 1442.90189) Full Text: DOI
Hien, Le Thi Khanh; Nguyen, Cuong V.; Xu, Huan; Lu, Canyi; Feng, Jiashi Accelerated randomized mirror descent algorithms for composite non-strongly convex optimization. (English) Zbl 1461.65154 J. Optim. Theory Appl. 181, No. 2, 541-566 (2019). MSC: 65K05 90C06 90C30 PDFBibTeX XMLCite \textit{L. T. K. Hien} et al., J. Optim. Theory Appl. 181, No. 2, 541--566 (2019; Zbl 1461.65154) Full Text: DOI arXiv
Hare, W.; Planiden, C. Computing proximal points of convex functions with inexact subgradients. (English) Zbl 1401.49039 Set-Valued Var. Anal. 26, No. 3, 469-492 (2018). MSC: 49M30 65K10 90C20 90C56 PDFBibTeX XMLCite \textit{W. Hare} and \textit{C. Planiden}, Set-Valued Var. Anal. 26, No. 3, 469--492 (2018; Zbl 1401.49039) Full Text: DOI arXiv
Tang, Feng-Mei; Huang, Ping-Liang On the convergence rate of a proximal point algorithm for vector function on Hadamard manifolds. (English) Zbl 1398.90165 J. Oper. Res. Soc. China 5, No. 3, 405-417 (2017). Reviewer: Kaisa Miettinen (Helsinki) MSC: 90C29 65K05 26B25 PDFBibTeX XMLCite \textit{F.-M. Tang} and \textit{P.-L. Huang}, J. Oper. Res. Soc. China 5, No. 3, 405--417 (2017; Zbl 1398.90165) Full Text: DOI
Marques Alves, Maicon; Costa Lima, Samara An inexact Spingarn’s partial inverse method with applications to operator splitting and composite optimization. (English) Zbl 1464.47038 J. Optim. Theory Appl. 175, No. 3, 818-847 (2017). Reviewer: K. C. Sivakumar (Chennai) MSC: 47J25 47H05 47J20 90C06 90C33 65K10 PDFBibTeX XMLCite \textit{M. Marques Alves} and \textit{S. Costa Lima}, J. Optim. Theory Appl. 175, No. 3, 818--847 (2017; Zbl 1464.47038) Full Text: DOI arXiv
Gonçalves, Max L. N.; Melo, Jefferson G.; Monteiro, Renato D. C. Improved pointwise iteration-complexity of A regularized ADMM and of a regularized non-Euclidean HPE framework. (English) Zbl 06693803 SIAM J. Optim. 27, No. 1, 379-407 (2017). MSC: 47H05 47J22 49M27 90C25 90C30 90C60 65K10 PDFBibTeX XMLCite \textit{M. L. N. Gonçalves} et al., SIAM J. Optim. 27, No. 1, 379--407 (2017; Zbl 06693803) Full Text: DOI arXiv
Ou-yassine, Ali; Bnouhachem, Abdellah; Benssi, Fatimazahra A new modified approximate proximal-extragradient type method for monotone variational inequalities. (English) Zbl 1413.49014 Adv. Model. Optim. 18, No. 1, 27-37 (2016). MSC: 49J40 65N30 PDFBibTeX XMLCite \textit{A. Ou-yassine} et al., Adv. Model. Optim. 18, No. 1, 27--37 (2016; Zbl 1413.49014) Full Text: Link
Wang, Jinhua; Li, Chong; Lopez, Genaro; Yao, Jen-Chih Proximal point algorithms on Hadamard manifolds: linear convergence and finite termination. (English) Zbl 1354.49069 SIAM J. Optim. 26, No. 4, 2696-2729 (2016). MSC: 49M30 49Q20 49J53 49J40 58D17 PDFBibTeX XMLCite \textit{J. Wang} et al., SIAM J. Optim. 26, No. 4, 2696--2729 (2016; Zbl 1354.49069) Full Text: DOI
Hare, W.; Sagastizábal, C.; Solodov, M. A proximal bundle method for nonsmooth nonconvex functions with inexact information. (English) Zbl 1343.90069 Comput. Optim. Appl. 63, No. 1, 1-28 (2016). MSC: 90C26 49J52 65K10 49M05 PDFBibTeX XMLCite \textit{W. Hare} et al., Comput. Optim. Appl. 63, No. 1, 1--28 (2016; Zbl 1343.90069) Full Text: DOI
He, Yunlong; Monteiro, Renato D. C. An accelerated HPE-type algorithm for a class of composite convex-concave saddle-point problems. (English) Zbl 1329.90179 SIAM J. Optim. 26, No. 1, 29-56 (2016). MSC: 90C60 90C25 90C30 47H05 47J20 65K10 65K05 PDFBibTeX XMLCite \textit{Y. He} and \textit{R. D. C. Monteiro}, SIAM J. Optim. 26, No. 1, 29--56 (2016; Zbl 1329.90179) Full Text: DOI
Kou, Xipeng; Li, Shengjie; Wang, Xueyong A new criterion for an inexact parallel splitting augmented Lagrangian method. (English) Zbl 1312.65106 J. Inequal. Appl. 2015, Paper No. 133, 18 p. (2015). MSC: 65K15 49J40 49M27 PDFBibTeX XMLCite \textit{X. Kou} et al., J. Inequal. Appl. 2015, Paper No. 133, 18 p. (2015; Zbl 1312.65106) Full Text: DOI
Wang, Jinhua; Li, Chong; Lopez, Genaro; Yao, Jen-Chih Convergence analysis of inexact proximal point algorithms on Hadamard manifolds. (English) Zbl 1312.49039 J. Glob. Optim. 61, No. 3, 553-573 (2015). MSC: 49M30 49J40 47J20 47J25 47H05 49J52 58D17 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Glob. Optim. 61, No. 3, 553--573 (2015; Zbl 1312.49039) Full Text: DOI
Tran-Dinh, Quoc; Kyrillidis, Anastasios; Cevher, Volkan An inexact proximal path-following algorithm for constrained convex minimization. (English) Zbl 1311.90104 SIAM J. Optim. 24, No. 4, 1718-1745 (2014). MSC: 90C25 90C51 90C90 68W01 PDFBibTeX XMLCite \textit{Q. Tran-Dinh} et al., SIAM J. Optim. 24, No. 4, 1718--1745 (2014; Zbl 1311.90104) Full Text: DOI arXiv
Gao, Leifu; Wei, Shuai An approximate proximal extragradient algorithm for general monotone variational inequalities. (Chinese. English summary) Zbl 1313.65170 Acta Anal. Funct. Appl. 16, No. 1, 40-45 (2014). MSC: 65K15 90C33 PDFBibTeX XMLCite \textit{L. Gao} and \textit{S. Wei}, Acta Anal. Funct. Appl. 16, No. 1, 40--45 (2014; Zbl 1313.65170)
Tang, Guo-ji; Huang, Nan-jing An inexact proximal point algorithm for maximal monotone vector fields on Hadamard manifolds. (English) Zbl 1287.90050 Oper. Res. Lett. 41, No. 6, 586-591 (2013). MSC: 90C25 53C21 PDFBibTeX XMLCite \textit{G.-j. Tang} and \textit{N.-j. Huang}, Oper. Res. Lett. 41, No. 6, 586--591 (2013; Zbl 1287.90050) Full Text: DOI
Peng, Zheng; Zhu, Wenxing An alternating direction method for Nash equilibrium of two-person games with alternating offers. (English) Zbl 1275.91010 J. Optim. Theory Appl. 157, No. 2, 533-551 (2013). Reviewer: Hans Benker (Merseburg) MSC: 91A05 91-08 PDFBibTeX XMLCite \textit{Z. Peng} and \textit{W. Zhu}, J. Optim. Theory Appl. 157, No. 2, 533--551 (2013; Zbl 1275.91010) Full Text: DOI
Xia, Fu-Quan; Huang, Nan-Jing An inexact hybrid projection-proximal point algorithm for solving generalized mixed variational inequalities. (English) Zbl 1236.49023 Comput. Math. Appl. 62, No. 12, 4596-4604 (2011). MSC: 49J40 90C33 47J25 65K15 PDFBibTeX XMLCite \textit{F.-Q. Xia} and \textit{N.-J. Huang}, Comput. Math. Appl. 62, No. 12, 4596--4604 (2011; Zbl 1236.49023) Full Text: DOI
Zhang, Xiaoqun; Burger, Martin; Osher, Stanley A unified primal-dual algorithm framework based on Bregman iteration. (English) Zbl 1227.65052 J. Sci. Comput. 46, No. 1, 20-46 (2011). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Sci. Comput. 46, No. 1, 20--46 (2011; Zbl 1227.65052) Full Text: DOI
Veliov, V.; Dontchev, A. Metric regularity under approximations. (English) Zbl 1236.49071 Control Cybern. 38, No. 4, Part B, 1283-1303 (2009). MSC: 49M15 PDFBibTeX XMLCite \textit{V. Veliov} and \textit{A. Dontchev}, Control Cybern. 38, No. 4, Part B, 1283--1303 (2009; Zbl 1236.49071) Full Text: EuDML Link
Pham Ngoc Anh; Le Dung Muu; Strodiot, Jean-Jacques Generalized projection method for non-Lipschitz multivalued monotone variational inequalities. (English) Zbl 1181.65099 Acta Math. Vietnam. 34, No. 1, 67-79 (2009). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K15 90C25 49J40 49M37 PDFBibTeX XMLCite \textit{Pham Ngoc Anh} et al., Acta Math. Vietnam. 34, No. 1, 67--79 (2009; Zbl 1181.65099)
Ceng, L. C.; Mastroeni, G.; Yao, J. C. An inexact proximal-type method for the generalized variational inequality in Banach spaces. (English) Zbl 1129.49005 J. Inequal. Appl. 2007, Article ID 78124, 14 p. (2007). MSC: 49J40 47J20 90C48 49M37 PDFBibTeX XMLCite \textit{L. C. Ceng} et al., J. Inequal. Appl. 2007, Article ID 78124, 14 p. (2007; Zbl 1129.49005) Full Text: DOI EuDML
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
Bnouhachem, Abdellah; Noor, Muhammad Aslam Inexact proximal point method for general variational inequalities. (English) Zbl 1101.49026 J. Math. Anal. Appl. 324, No. 2, 1195-1212 (2006). MSC: 49M37 49J40 PDFBibTeX XMLCite \textit{A. Bnouhachem} and \textit{M. A. Noor}, J. Math. Anal. Appl. 324, No. 2, 1195--1212 (2006; Zbl 1101.49026) 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
Hue, T. T.; Strodiot, J. J. Convergence analysis of a relaxed extragradient-proximal point algorithm application to variational inequalities. (English) Zbl 1177.90375 Optimization 54, No. 2, 191-213 (2005). MSC: 90C30 49J40 47J20 47J25 90C55 PDFBibTeX XMLCite \textit{T. T. Hue} and \textit{J. J. Strodiot}, Optimization 54, No. 2, 191--213 (2005; Zbl 1177.90375) Full Text: DOI
Solodov, M. V. A class of decomposition methods for convex optimization and monotone variational inclusions via the hybrid inexact proximal point framework. (English) Zbl 1097.90041 Optim. Methods Softw. 19, No. 5, 557-575 (2004). MSC: 90C25 49J40 49M99 PDFBibTeX XMLCite \textit{M. V. Solodov}, Optim. Methods Softw. 19, No. 5, 557--575 (2004; Zbl 1097.90041) Full Text: DOI
He, Bing-sheng; Yang, Zhen-hua; Yuan, Xiao-ming An approximate proximal-extragradient type method for monotone variational inequalities. (English) Zbl 1068.65087 J. Math. Anal. Appl. 300, No. 2, 362-374 (2004). Reviewer: Igor V. Konnov (Kazan) MSC: 65K10 49J40 49M20 PDFBibTeX XMLCite \textit{B.-s. He} et al., J. Math. Anal. Appl. 300, No. 2, 362--374 (2004; Zbl 1068.65087) 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
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
Vigé, Guillaume Convergence analysis of the inexact proximal point algorithm. (English) Zbl 0882.65048 Commun. Appl. Nonlinear Anal. 4, No. 3, 69-82 (1997). Reviewer: N.Djuranović-Miličić (Beograd) MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{G. Vigé}, Commun. Appl. Nonlinear Anal. 4, No. 3, 69--82 (1997; Zbl 0882.65048)
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