Reich, Simeon; Truong Minh Tuyen; Phan Thi Van Huyen Inertial proximal point algorithms for solving a class of split feasibility problems. (English) Zbl 07814938 J. Optim. Theory Appl. 200, No. 3, 951-977 (2024). MSC: 47H05 47H09 49J53 90C25 PDFBibTeX XMLCite \textit{S. Reich} et al., J. Optim. Theory Appl. 200, No. 3, 951--977 (2024; Zbl 07814938) Full Text: DOI
Le, Ba Khiet R-continuity with applications to convergence analysis of Tikhonov regularization and DC programming. (English) Zbl 07811224 J. Convex Anal. 31, No. 1, 243-254 (2024). MSC: 47N10 90C26 90C06 PDFBibTeX XMLCite \textit{B. K. Le}, J. Convex Anal. 31, No. 1, 243--254 (2024; Zbl 07811224) Full Text: arXiv Link
Jolaoso, Lateef O.; Shehu, Yekini; Yao, Jen-Chih Strongly convergent inertial proximal point algorithm without on-line rule. (English) Zbl 07802200 J. Optim. Theory Appl. 200, No. 2, 555-584 (2024). MSC: 90C25 90C30 90C60 68Q25 49M25 90C22 PDFBibTeX XMLCite \textit{L. O. Jolaoso} et al., J. Optim. Theory Appl. 200, No. 2, 555--584 (2024; Zbl 07802200) Full Text: DOI
Nguyen, Luong Van; Thu, Nguyen Thi; An, Nguyen Thai Characterizations of weak sharp solutions for variational inequalities on Hadamard manifolds and applications. (English) Zbl 07775226 J. Ind. Manag. Optim. 20, No. 2, 729-751 (2024). MSC: 49J40 58D17 90C33 PDFBibTeX XMLCite \textit{L. Van Nguyen} et al., J. Ind. Manag. Optim. 20, No. 2, 729--751 (2024; Zbl 07775226) Full Text: DOI
Li, Xin-Xin; Zhang, Xiao-Ya A new stopping criterion for Eckstein and Bertsekas’s generalized alternating direction method of multipliers. (English) Zbl 07802585 J. Oper. Res. Soc. China 11, No. 4, 941-955 (2023). MSC: 65K10 90C25 90C46 PDFBibTeX XMLCite \textit{X.-X. Li} and \textit{X.-Y. Zhang}, J. Oper. Res. Soc. China 11, No. 4, 941--955 (2023; Zbl 07802585) Full Text: DOI
Quiroz, Erik Alex Papa; Rocha, Rogério Azevedo; Oliveira, Paulo; Gregório, Ronaldo Proximal algorithm with quasidistances for multiobjective quasiconvex minimization in Riemannian manifolds. (English) Zbl 07792437 RAIRO, Oper. Res. 57, No. 4, 2301-2314 (2023). MSC: 90C26 90C29 PDFBibTeX XMLCite \textit{E. A. P. Quiroz} et al., RAIRO, Oper. Res. 57, No. 4, 2301--2314 (2023; Zbl 07792437) Full Text: DOI
Rockafellar, R. Tyrrell Generic linear convergence through metric subregularity in a variable-metric extension of the proximal point algorithm. (English) Zbl 07786403 Comput. Optim. Appl. 86, No. 3, 1327-1346 (2023). MSC: 90Cxx PDFBibTeX XMLCite \textit{R. T. Rockafellar}, Comput. Optim. Appl. 86, No. 3, 1327--1346 (2023; Zbl 07786403) Full Text: DOI
Balooee, Javad Proximal iterative algorithm for fixed point problems of total asymptotically nonexpansive mappings and system of generalized nonlinear variational-like inequalities. (English) Zbl 07774540 Pure Appl. Funct. Anal. 8, No. 5, 1239-1282 (2023). MSC: 47H05 47H09 47J20 47J22 47J25 49J40 PDFBibTeX XMLCite \textit{J. Balooee}, Pure Appl. Funct. Anal. 8, No. 5, 1239--1282 (2023; Zbl 07774540) Full Text: Link
Balooee, Javad; Yao, Jen-Chih Approximate resolvent algorithms for a system of generalized variational-like inclusions and fixed point problems. (English) Zbl 1525.47097 J. Nonlinear Convex Anal. 24, No. 10, 2179-2223 (2023). MSC: 47J25 47J22 47H06 47H09 49J40 PDFBibTeX XMLCite \textit{J. Balooee} and \textit{J.-C. Yao}, J. Nonlinear Convex Anal. 24, No. 10, 2179--2223 (2023; Zbl 1525.47097) Full Text: Link
Sow, T. M. M.; Diene, Aminata Diop; Djitte, N. A novel approach for solving simultaneously one-parameter nonexpansive semigroup, convex minimization and fixed point problems involving set-valued operators. (English) Zbl 07752885 Carpathian J. Math. 39, No. 1, 325-334 (2023). MSC: 47H09 47H10 PDFBibTeX XMLCite \textit{T. M. M. Sow} et al., Carpathian J. Math. 39, No. 1, 325--334 (2023; Zbl 07752885) Full Text: DOI
Bačák, Miroslav Old and new challenges in Hadamard spaces. (English) Zbl 07751173 Jpn. J. Math. (3) 18, No. 2, 115-168 (2023). MSC: 46N10 49J53 47H20 49M27 PDFBibTeX XMLCite \textit{M. Bačák}, Jpn. J. Math. (3) 18, No. 2, 115--168 (2023; Zbl 07751173) Full Text: DOI arXiv
Garodia, C.; Radenovic, S. On a proximal-point algorithm for solving the minimization problem and common fixed-point problem in CAT\((k)\) spaces. (English) Zbl 07745289 Ukr. Math. J. 75, No. 2, 190-205 (2023); and Ukr. Mat. Zh. 75, No. 2, 168-181 (2023). Reviewer: Vasile Postolică (Piatra Neamţ) MSC: 47B02 47B99 PDFBibTeX XMLCite \textit{C. Garodia} and \textit{S. Radenovic}, Ukr. Math. J. 75, No. 2, 190--205 (2023; Zbl 07745289) Full Text: DOI
Wang, Jinhua; Li, Chong; Ng, K. F. Convergence rate of inexact proximal point algorithms for operator with Hölder metric subregularity. (English) Zbl 07731063 SIAM J. Optim. 33, No. 3, 1996-2020 (2023). MSC: 47J25 47H05 47J22 49J53 90C26 90C31 PDFBibTeX XMLCite \textit{J. Wang} et al., SIAM J. Optim. 33, No. 3, 1996--2020 (2023; Zbl 07731063) Full Text: DOI
Combettes, Patrick L. Resolvent and proximal compositions. (English) Zbl 07719235 Set-Valued Var. Anal. 31, No. 3, Paper No. 22, 29 p. (2023). MSC: 47H05 47N10 47H09 65J15 PDFBibTeX XMLCite \textit{P. L. Combettes}, Set-Valued Var. Anal. 31, No. 3, Paper No. 22, 29 p. (2023; Zbl 07719235) Full Text: DOI arXiv
Salisu, Sani; Kumam, Poom; Sriwongsa, Songpon Convergence theorems for monotone vector field inclusions and minimization problems in Hadamard spaces. (English) Zbl 1519.47097 Anal. Geom. Metr. Spaces 11, Article ID 20220150, 25 p. (2023). MSC: 47J25 47H05 47J22 65K10 65K15 54H25 54E50 PDFBibTeX XMLCite \textit{S. Salisu} et al., Anal. Geom. Metr. Spaces 11, Article ID 20220150, 25 p. (2023; Zbl 1519.47097) Full Text: DOI
Balooee, Javad; Chang, Shih-Sen; Yao, Jen-Chih Generalized set-valued nonlinear variational-like inequalities and fixed point problems: existence and approximation solvability results. (English) Zbl 07708645 J. Optim. Theory Appl. 197, No. 3, 891-938 (2023). MSC: 47H05 47H09 47J20 47J22 47J25 PDFBibTeX XMLCite \textit{J. Balooee} et al., J. Optim. Theory Appl. 197, No. 3, 891--938 (2023; Zbl 07708645) Full Text: DOI
Chang, Shih-Sen; Yao, Jen-Chih; Liu, M.; Zhao, L. C. Inertial proximal point algorithm for variational inclusion in Hadamard manifolds. (English) Zbl 1525.47099 Appl. Anal. 102, No. 7, 2055-2066 (2023). MSC: 47J25 47J22 58C30 PDFBibTeX XMLCite \textit{S.-S. Chang} et al., Appl. Anal. 102, No. 7, 2055--2066 (2023; Zbl 1525.47099) Full Text: DOI
Liu, Yong-Jin; Yu, Jing A semismooth Newton based dual proximal point algorithm for maximum eigenvalue problem. (English) Zbl 1519.90115 Comput. Optim. Appl. 85, No. 2, 547-582 (2023). MSC: 90C06 90C25 90C90 PDFBibTeX XMLCite \textit{Y.-J. Liu} and \textit{J. Yu}, Comput. Optim. Appl. 85, No. 2, 547--582 (2023; Zbl 1519.90115) 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
Luo, Hao Accelerated differential inclusion for convex optimization. (English) Zbl 1519.90174 Optimization 72, No. 5, 1139-1170 (2023). MSC: 90C25 PDFBibTeX XMLCite \textit{H. Luo}, Optimization 72, No. 5, 1139--1170 (2023; Zbl 1519.90174) Full Text: DOI arXiv
Condat, Laurent; Kitahara, Daichi; Contreras, Andrés; Hirabayashi, Akira Proximal splitting algorithms for convex optimization: a tour of recent advances, with new twists. (English) Zbl 1518.90067 SIAM Rev. 65, No. 2, 375-435 (2023). MSC: 90C25 90C30 90C06 47J25 47J26 68W15 65K05 PDFBibTeX XMLCite \textit{L. Condat} et al., SIAM Rev. 65, No. 2, 375--435 (2023; Zbl 1518.90067) Full Text: DOI arXiv
Khatibzadeh, Hadi; Moosavi, Maryam Two proximal splitting methods in Hadamard spaces. (English) Zbl 1509.90147 Appl. Anal. 102, No. 2, 635-650 (2023). MSC: 90C25 90C48 65K10 PDFBibTeX XMLCite \textit{H. Khatibzadeh} and \textit{M. Moosavi}, Appl. Anal. 102, No. 2, 635--650 (2023; Zbl 1509.90147) Full Text: DOI
Rockafellar, R. Tyrrell Convergence of augmented Lagrangian methods in extensions beyond nonlinear programming. (English) Zbl 07681257 Math. Program. 199, No. 1-2 (A), 375-420 (2023). MSC: 65K10 90C26 49M29 PDFBibTeX XMLCite \textit{R. T. Rockafellar}, Math. Program. 199, No. 1--2 (A), 375--420 (2023; Zbl 07681257) Full Text: DOI
Gao, Ying; Zhang, Wenxing An alternative extrapolation scheme of PDHGM for saddle point problem with nonlinear function. (English) Zbl 1517.90160 Comput. Optim. Appl. 85, No. 1, 263-291 (2023). MSC: 90C47 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{W. Zhang}, Comput. Optim. Appl. 85, No. 1, 263--291 (2023; Zbl 1517.90160) Full Text: DOI
Chu, Hong T. M.; Liang, Ling; Toh, Kim-Chuan; Yang, Lei An efficient implementable inexact entropic proximal point algorithm for a class of linear programming problems. (English) Zbl 1517.90080 Comput. Optim. Appl. 85, No. 1, 107-146 (2023). MSC: 90C05 90C06 PDFBibTeX XMLCite \textit{H. T. M. Chu} et al., Comput. Optim. Appl. 85, No. 1, 107--146 (2023; Zbl 1517.90080) Full Text: DOI arXiv
Xu, Shengjie A dual-primal balanced augmented Lagrangian method for linearly constrained convex programming. (English) Zbl 1509.90152 J. Appl. Math. Comput. 69, No. 1, 1015-1035 (2023). MSC: 90C25 90C06 65K05 PDFBibTeX XMLCite \textit{S. Xu}, J. Appl. Math. Comput. 69, No. 1, 1015--1035 (2023; Zbl 1509.90152) Full Text: DOI arXiv
Ouyang, Hui Weak and strong convergence of generalized proximal point algorithms with relaxed parameters. (English) Zbl 1515.65131 J. Glob. Optim. 85, No. 4, 969-1002 (2023). MSC: 65J15 47J25 47H05 90C25 90C30 PDFBibTeX XMLCite \textit{H. Ouyang}, J. Glob. Optim. 85, No. 4, 969--1002 (2023; Zbl 1515.65131) Full Text: DOI arXiv
Zhang, Binbin; Zhou, Chang; Zhu, Jiangxing Convergence analysis of the generalized Douglas-Rachford splitting method under Hölder subregularity assumptions. (English) Zbl 1524.65230 J. Ind. Manag. Optim. 19, No. 7, 5060-5077 (2023). MSC: 65K05 90C25 47H05 47J25 PDFBibTeX XMLCite \textit{B. Zhang} et al., J. Ind. Manag. Optim. 19, No. 7, 5060--5077 (2023; Zbl 1524.65230) Full Text: DOI
Gu, Guoyong; Yang, Junfeng A unified and tight linear convergence analysis of the relaxed proximal point algorithm. (English) Zbl 1524.65218 J. Ind. Manag. Optim. 19, No. 5, 3742-3749 (2023). MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{G. Gu} and \textit{J. Yang}, J. Ind. Manag. Optim. 19, No. 5, 3742--3749 (2023; Zbl 1524.65218) Full Text: DOI arXiv
Izuchukwu, Chinedu; Reich, Simeon; Shehu, Yekini Relaxed inertial methods for solving the split monotone variational inclusion problem beyond co-coerciveness. (English) Zbl 1528.47005 Optimization 72, No. 2, 607-646 (2023). MSC: 47H09 47H10 49J40 PDFBibTeX XMLCite \textit{C. Izuchukwu} et al., Optimization 72, No. 2, 607--646 (2023; Zbl 1528.47005) Full Text: DOI
You, Yanfei; Jiang, Suhong Improved Lagrangian-PPA based prediction correction method for linearly constrained convex optimization. (English) Zbl 1513.90133 J. Ind. Manag. Optim. 19, No. 1, 56-68 (2023). MSC: 90C25 90C30 65K05 65K10 PDFBibTeX XMLCite \textit{Y. You} and \textit{S. Jiang}, J. Ind. Manag. Optim. 19, No. 1, 56--68 (2023; Zbl 1513.90133) Full Text: DOI
Akram, M.; Chen, J. W.; Dilshad, M. Cayley approximation operator with an application to a system of set-valued Cayley type inclusions. (English) Zbl 07801936 Bol. Soc. Parana. Mat. (3) 40, Paper No. 148, 14 p. (2022). MSC: 49J40 47H05 PDFBibTeX XMLCite \textit{M. Akram} et al., Bol. Soc. Parana. Mat. (3) 40, Paper No. 148, 14 p. (2022; Zbl 07801936) Full Text: DOI
Abass, H. A.; Cholamjiak, P.; Izuchukwu, C.; Jolaoso, L. O.; Narain, O. K. Convergence analysis for products of resolvents of convex functions and multivalued \(k\)-strictly pseudononspreading mappings in Hadamard spaces. (English) Zbl 07644618 Linear Nonlinear Anal. 8, No. 2, 163-184 (2022). MSC: 47J25 47H04 47H09 49J53 PDFBibTeX XMLCite \textit{H. A. Abass} et al., Linear Nonlinear Anal. 8, No. 2, 163--184 (2022; Zbl 07644618) Full Text: Link
Alves, M. Marques Variants of the A-HPE and large-step A-HPE algorithms for strongly convex problems with applications to accelerated high-order tensor methods. (English) Zbl 1509.90227 Optim. Methods Softw. 37, No. 6, 2021-2051 (2022). MSC: 90C60 90C25 47H05 65K10 PDFBibTeX XMLCite \textit{M. M. Alves}, Optim. Methods Softw. 37, No. 6, 2021--2051 (2022; Zbl 1509.90227) Full Text: DOI arXiv
Zhang, Siliang; Chen, Yunxiao Computation for latent variable model estimation: a unified stochastic proximal framework. (English) Zbl 1499.62441 Psychometrika 87, No. 4, 1473-1502 (2022). MSC: 62P15 62F10 62H25 62L20 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{Y. Chen}, Psychometrika 87, No. 4, 1473--1502 (2022; Zbl 1499.62441) Full Text: DOI arXiv
Sipoş, Andrei Revisiting jointly firmly nonexpansive families of mappings. (English) Zbl 1507.90132 Optimization 71, No. 13, 3819-3834 (2022). MSC: 90C25 46N10 47J25 47H09 03F10 PDFBibTeX XMLCite \textit{A. Sipoş}, Optimization 71, No. 13, 3819--3834 (2022; Zbl 1507.90132) Full Text: DOI arXiv
Balooee, Javad; Postolache, Mihai; Yao, Yonghong System of generalized nonlinear variational-like inequalities and nearly asymptotically nonexpansive mappings: graph convergence and fixed point problems. (English) Zbl 1504.47095 Ann. Funct. Anal. 13, No. 4, Paper No. 68, 44 p. (2022). MSC: 47J25 47H09 47J20 PDFBibTeX XMLCite \textit{J. Balooee} et al., Ann. Funct. Anal. 13, No. 4, Paper No. 68, 44 p. (2022; Zbl 1504.47095) Full Text: DOI
Iyiola, Olaniyi S.; Shehu, Yekini Convergence results of two-step inertial proximal point algorithm. (English) Zbl 1504.90198 Appl. Numer. Math. 182, 57-75 (2022). MSC: 90C48 90C51 PDFBibTeX XMLCite \textit{O. S. Iyiola} and \textit{Y. Shehu}, Appl. Numer. Math. 182, 57--75 (2022; Zbl 1504.90198) Full Text: DOI arXiv
Ndlovu, P. V.; Jolaoso, L. O.; Aphane, Maggie Strong convergence theorem for finding a common solution of convex minimization and fixed point problems in \(\mathrm{CAT}(0)\) spaces. (English) Zbl 1503.47094 Abstr. Appl. Anal. 2022, Article ID 2960135, 11 p. (2022). MSC: 47J25 54H25 54E50 PDFBibTeX XMLCite \textit{P. V. Ndlovu} et al., Abstr. Appl. Anal. 2022, Article ID 2960135, 11 p. (2022; Zbl 1503.47094) Full Text: DOI
Tabrizian, Amir Hamzeh Alizadeh; Bidabadi, Narges A new boosted proximal point algorithm for minimizing nonsmooth DC functions. (English) Zbl 1498.90172 Numer. Funct. Anal. Optim. 43, No. 12, 1459-1483 (2022). MSC: 90C26 90C48 PDFBibTeX XMLCite \textit{A. H. A. Tabrizian} and \textit{N. Bidabadi}, Numer. Funct. Anal. Optim. 43, No. 12, 1459--1483 (2022; Zbl 1498.90172) Full Text: DOI
Wang, Kai; Han, Deren On the linear convergence of the general first order primal-dual algorithm. (English) Zbl 1513.90222 J. Ind. Manag. Optim. 18, No. 5, 3749-3770 (2022). MSC: 90C47 90C33 65K05 PDFBibTeX XMLCite \textit{K. Wang} and \textit{D. Han}, J. Ind. Manag. Optim. 18, No. 5, 3749--3770 (2022; Zbl 1513.90222) Full Text: DOI
Sipoş, Andrei Abstract strongly convergent variants of the proximal point algorithm. (English) Zbl 1496.90061 Comput. Optim. Appl. 83, No. 1, 349-380 (2022). MSC: 90C25 46N10 47J25 47H09 03F10 PDFBibTeX XMLCite \textit{A. Sipoş}, Comput. Optim. Appl. 83, No. 1, 349--380 (2022; Zbl 1496.90061) Full Text: DOI arXiv
Lindstrom, Scott B. The projected polar proximal point algorithm converges globally. (English) Zbl 1492.90128 J. Glob. Optim. 84, No. 1, 177-203 (2022). MSC: 90C25 90C15 PDFBibTeX XMLCite \textit{S. B. Lindstrom}, J. Glob. Optim. 84, No. 1, 177--203 (2022; Zbl 1492.90128) Full Text: DOI arXiv
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
Maingé, Paul-Emile Fast convergence of generalized forward-backward algorithms for structured monotone inclusions. (English) Zbl 1496.90058 J. Convex Anal. 29, No. 3, 893-920 (2022). MSC: 90C25 90C30 90C60 68Q25 49M25 PDFBibTeX XMLCite \textit{P.-E. Maingé}, J. Convex Anal. 29, No. 3, 893--920 (2022; Zbl 1496.90058) Full Text: arXiv Link
Guo, Ke; Zhu, Chunrong On the linear convergence of a Bregman proximal point algorithm. (English) Zbl 1493.65107 J. Nonlinear Var. Anal. 6, No. 2, 5-14 (2022). MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{K. Guo} and \textit{C. Zhu}, J. Nonlinear Var. Anal. 6, No. 2, 5--14 (2022; Zbl 1493.65107) Full Text: DOI
Li, Qingjing; Guo, Ke On a new analysis framework for the linear convergence of relaxed operator splitting methods. (English) Zbl 1498.47129 J. Math. Res. Appl. 42, No. 2, 199-205 (2022). MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{Q. Li} and \textit{K. Guo}, J. Math. Res. Appl. 42, No. 2, 199--205 (2022; Zbl 1498.47129) Full Text: DOI
Lin, Meixia; Sun, Defeng; Toh, Kim-Chuan An augmented Lagrangian method with constraint generation for shape-constrained convex regression problems. (English) Zbl 1489.90060 Math. Program. Comput. 14, No. 2, 223-270 (2022). MSC: 90C06 90C25 90C90 PDFBibTeX XMLCite \textit{M. Lin} et al., Math. Program. Comput. 14, No. 2, 223--270 (2022; Zbl 1489.90060) Full Text: DOI arXiv
Ranjbar, Sajad Approximating a solution of the inclusion problem for an infinite family of monotone operators in Hadamard spaces and its applications. (English) Zbl 07530316 Numer. Funct. Anal. Optim. 43, No. 4, 412-429 (2022). MSC: 47H09 47H10 47H05 47J05 PDFBibTeX XMLCite \textit{S. Ranjbar}, Numer. Funct. Anal. Optim. 43, No. 4, 412--429 (2022; Zbl 07530316) Full Text: DOI
Shen, Yuan; Zuo, Yannian; Sun, Liming; Zhang, Xiayang Modified proximal symmetric ADMMs for multi-block separable convex optimization with linear constraints. (English) Zbl 1492.90130 Anal. Appl., Singap. 20, No. 3, 401-428 (2022). MSC: 90C25 65K05 94A08 PDFBibTeX XMLCite \textit{Y. Shen} et al., Anal. Appl., Singap. 20, No. 3, 401--428 (2022; Zbl 1492.90130) Full Text: DOI
Salisu, Sani; Kumam, Poom; Sriwongsa, Songpon; Abubakar, Jamilu On minimization and fixed point problems in Hadamard spaces. (English) Zbl 1497.47097 Comput. Appl. Math. 41, No. 3, Paper No. 117, 22 p. (2022). MSC: 47J25 47H09 54H25 65K10 65K15 PDFBibTeX XMLCite \textit{S. Salisu} et al., Comput. Appl. Math. 41, No. 3, Paper No. 117, 22 p. (2022; Zbl 1497.47097) Full Text: DOI
Kohlenbach, Ulrich On the proximal point algorithm and its Halpern-type variant for generalized monotone operators in Hilbert space. (English) Zbl 1487.90638 Optim. Lett. 16, No. 2, 611-621 (2022). MSC: 90C48 47J25 49J40 90C25 PDFBibTeX XMLCite \textit{U. Kohlenbach}, Optim. Lett. 16, No. 2, 611--621 (2022; Zbl 1487.90638) Full Text: DOI
Bartz, Sedi; Dao, Minh N.; Phan, Hung M. Conical averagedness and convergence analysis of fixed point algorithms. (English) Zbl 1497.47107 J. Glob. Optim. 82, No. 2, 351-373 (2022). MSC: 47J26 47H09 47H05 49M27 65K05 65K10 PDFBibTeX XMLCite \textit{S. Bartz} et al., J. Glob. Optim. 82, No. 2, 351--373 (2022; Zbl 1497.47107) Full Text: DOI arXiv
Grad, Sorin-Mihai; Lara, Felipe An extension of the proximal point algorithm beyond convexity. (English) Zbl 1527.90171 J. Glob. Optim. 82, No. 2, 313-329 (2022). MSC: 90C26 PDFBibTeX XMLCite \textit{S.-M. Grad} and \textit{F. Lara}, J. Glob. Optim. 82, No. 2, 313--329 (2022; Zbl 1527.90171) Full Text: DOI arXiv
Vono, Maxime; Dobigeon, Nicolas; Chainais, Pierre High-dimensional Gaussian sampling: a review and a unifying approach based on a stochastic proximal point algorithm. (English) Zbl 1515.65017 SIAM Rev. 64, No. 1, 3-56 (2022). MSC: 65C10 65C05 62H12 PDFBibTeX XMLCite \textit{M. Vono} et al., SIAM Rev. 64, No. 1, 3--56 (2022; Zbl 1515.65017) Full Text: DOI arXiv
Moudafi, Abdellatif; Mainge, Paul-Emile Copositivity meets D. C. optimization. (English) Zbl 1486.90146 J. Dyn. Games 9, No. 1, 27-32 (2022). MSC: 90C25 90C20 65K10 PDFBibTeX XMLCite \textit{A. Moudafi} and \textit{P.-E. Mainge}, J. Dyn. Games 9, No. 1, 27--32 (2022; Zbl 1486.90146) Full Text: DOI
Shen, Yuan; Gao, Qianming; Yin, Xue A multi-parameter parallel ADMM for multi-block linearly constrained separable convex optimization. (English) Zbl 1479.90159 Appl. Numer. Math. 171, 369-388 (2022). MSC: 90C25 PDFBibTeX XMLCite \textit{Y. Shen} et al., Appl. Numer. Math. 171, 369--388 (2022; Zbl 1479.90159) Full Text: DOI
Ranjbar, Sajad Strong convergence to a solution of the inclusion problem for a finite family of monotone operators in Hadamard spaces. (English) Zbl 1516.47115 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 29, No. 2, 231-248 (2021). MSC: 47J25 47H05 47H09 49J40 54H25 PDFBibTeX XMLCite \textit{S. Ranjbar}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 29, No. 2, 231--248 (2021; Zbl 1516.47115) Full Text: DOI
Tan, Li; Li, Qingjing; Guo, Ke; Yao, Jen-Chih Two proximal-type algorithms for nonsmooth convex optimization over fixed point sets of nonexpansive mappings. (English) Zbl 1498.65097 J. Nonlinear Convex Anal. 22, No. 3, 629-645 (2021). MSC: 65K05 90C25 90C30 PDFBibTeX XMLCite \textit{L. Tan} et al., J. Nonlinear Convex Anal. 22, No. 3, 629--645 (2021; Zbl 1498.65097) Full Text: Link
Chang, Shih-Sen; Wen, Ching-Feng; Wang, Xiong-Rui; Tang, Jin-Fang Viscosity type algorithm for zeros of monotone operators in Hadamard spaces with application to optimization. (English) Zbl 07617202 J. Nonlinear Convex Anal. 22, No. 3, 457-470 (2021). MSC: 47H09 47J25 47H05 47J05 47J20 65K05 PDFBibTeX XMLCite \textit{S.-S. Chang} et al., J. Nonlinear Convex Anal. 22, No. 3, 457--470 (2021; Zbl 07617202) Full Text: Link
Shehu, Yekini; Qin, X.; Yao, J. C. Weak and linear convergence of proximal point algorithm with reflections. (English) Zbl 1506.47117 J. Nonlinear Convex Anal. 22, No. 2, 299-307 (2021). MSC: 47J25 47H05 47J20 65K15 90C25 PDFBibTeX XMLCite \textit{Y. Shehu} et al., J. Nonlinear Convex Anal. 22, No. 2, 299--307 (2021; Zbl 1506.47117) Full Text: Link
Shehu, Yekini; Ezeora, Jeremiah N. Weak and linear convergence of a generalized proximal point algorithm with alternating inertial steps for a monotone inclusion problem. (English) Zbl 07557730 J. Nonlinear Var. Anal. 5, No. 6, 881-892 (2021). MSC: 47-XX PDFBibTeX XMLCite \textit{Y. Shehu} and \textit{J. N. Ezeora}, J. Nonlinear Var. Anal. 5, No. 6, 881--892 (2021; Zbl 07557730) Full Text: DOI
Sow, T. M. M. Fixed point algorithms for convex minimization problem with set-valued operator in real Hilbert spaces. (English) Zbl 1493.47102 Palest. J. Math. 10, No. 2, 580-591 (2021). MSC: 47J25 47H04 47H09 65K05 PDFBibTeX XMLCite \textit{T. M. M. Sow}, Palest. J. Math. 10, No. 2, 580--591 (2021; Zbl 1493.47102) Full Text: Link
Lauster, Florian; Luke, D. Russell Convergence of proximal splitting algorithms in \(\operatorname{CAT}(\kappa)\) spaces and beyond. (English) Zbl 07525617 Fixed Point Theory Algorithms Sci. Eng. 2021, Paper No. 13, 21 p. (2021). MSC: 47H09 47H10 53C22 53C21 53C23 53C20 49M27 PDFBibTeX XMLCite \textit{F. Lauster} and \textit{D. R. Luke}, Fixed Point Theory Algorithms Sci. Eng. 2021, Paper No. 13, 21 p. (2021; Zbl 07525617) Full Text: DOI
Dashputre, Samir; Padmavati; Sakure, Kavita Fixed point approximation of countably infinite family of nonexpansive mappings. (English) Zbl 1497.47109 South East Asian J. Math. Math. Sci. 17, No. 1, 361-382 (2021). MSC: 47J26 47H09 54H25 PDFBibTeX XMLCite \textit{S. Dashputre} et al., South East Asian J. Math. Math. Sci. 17, No. 1, 361--382 (2021; Zbl 1497.47109) Full Text: Link
Rockafellar, R. Tyrrell Advances in convergence and scope of the proximal point algorithm. (English) Zbl 1481.65094 J. Nonlinear Convex Anal. 22, No. 11, 2347-2375 (2021). MSC: 65K10 47H05 PDFBibTeX XMLCite \textit{R. T. Rockafellar}, J. Nonlinear Convex Anal. 22, No. 11, 2347--2375 (2021; Zbl 1481.65094) Full Text: Link
Dinis, Bruno; Pinto, Pedro Quantitative results on the multi-parameters proximal point algorithm. (English) Zbl 07470545 J. Convex Anal. 28, No. 3, 729-750 (2021). Reviewer: Andrei Sipoş (Bucureşti) MSC: 47H09 47N10 03F10 46S30 PDFBibTeX XMLCite \textit{B. Dinis} and \textit{P. Pinto}, J. Convex Anal. 28, No. 3, 729--750 (2021; Zbl 07470545) Full Text: arXiv Link
Izuchukwu, Chinedu; Ugwunnadi, Godwin C.; Mewomo, Oluwatosin Temitope Strong convergence theorem for family of minimization and monotone inclusion problems in Hadamard spaces. (English) Zbl 07469767 Proyecciones 40, No. 2, 525-558 (2021). MSC: 47H09 47H10 49J20 49J40 PDFBibTeX XMLCite \textit{C. Izuchukwu} et al., Proyecciones 40, No. 2, 525--558 (2021; Zbl 07469767) Full Text: DOI
Sun, Jie; Zhang, Min The elicited progressive decoupling algorithm: a note on the rate of convergence and a preliminary numerical experiment on the choice of parameters. (English) Zbl 1484.90058 Set-Valued Var. Anal. 29, No. 4, 997-1018 (2021). MSC: 90C15 90C30 90C33 91B51 PDFBibTeX XMLCite \textit{J. Sun} and \textit{M. Zhang}, Set-Valued Var. Anal. 29, No. 4, 997--1018 (2021; Zbl 1484.90058) Full Text: DOI
Aggarwal, Sajan; Uddin, Izhar; Pakkaranang, Nuttapol; Wairojjana, Nopparat; Cholamjiak, Prasit Convergence theorems of proximal type algorithm for a convex function and multivalued mappings in Hilbert spaces. (English) Zbl 1493.47081 Nonlinear Funct. Anal. Appl. 26, No. 1, 1-11 (2021). MSC: 47J25 47H09 47H04 PDFBibTeX XMLCite \textit{S. Aggarwal} et al., Nonlinear Funct. Anal. Appl. 26, No. 1, 1--11 (2021; Zbl 1493.47081) Full Text: Link
Al-Homidan, Suliman; Ansari, Qamrul Hasan; Islam, Monirul Existence results and two step proximal point algorithm for equilibrium problems on Hadamard manifolds. (English) Zbl 1488.49021 Carpathian J. Math. 37, No. 3, 393-406 (2021). MSC: 49J40 65K15 65K10 47J25 54H25 PDFBibTeX XMLCite \textit{S. Al-Homidan} et al., Carpathian J. Math. 37, No. 3, 393--406 (2021; Zbl 1488.49021) Full Text: DOI
Pakkaranang, Nuttapol; Kumam, Poom; Wen, Ching-Feng; Yao, Jen-Chih; Cho, Yeol Je On modified proximal point algorithms for solving minimization problems and fixed point problems in \(\mathrm{CAT}(\kappa)\) spaces. (English) Zbl 1495.47109 Math. Methods Appl. Sci. 44, No. 17, 12369-12382 (2021). MSC: 47J25 47H09 54H25 47H05 PDFBibTeX XMLCite \textit{N. Pakkaranang} et al., Math. Methods Appl. Sci. 44, No. 17, 12369--12382 (2021; Zbl 1495.47109) Full Text: DOI
Ugwunnadi, Godwin Chidi Modified proximal point algorithm for minimization and fixed point problem in \(\mathrm{CAT}(0)\) spaces. (English) Zbl 1494.47117 Ural Math. J. 7, No. 1, 109-119 (2021). MSC: 47J25 47H09 54H25 54E50 PDFBibTeX XMLCite \textit{G. C. Ugwunnadi}, Ural Math. J. 7, No. 1, 109--119 (2021; Zbl 1494.47117) Full Text: DOI MNR
Izuchukwu, Chinedu; Aremu, Kazeem O.; Abass, Hammed A.; Mewomo, Oluwatosin; Cholamjiak, Prasit A viscosity proximal point algorithm for solving optimization problems in Hadamard spaces. (English) Zbl 1477.90062 Nonlinear Stud. 28, No. 1, 101-125 (2021). MSC: 90C25 90C33 47J25 49J40 PDFBibTeX XMLCite \textit{C. Izuchukwu} et al., Nonlinear Stud. 28, No. 1, 101--125 (2021; Zbl 1477.90062) Full Text: Link
Banjac, Goran; Lygeros, John On the asymptotic behavior of the Douglas-Rachford and proximal-point algorithms for convex optimization. (English) Zbl 1477.90059 Optim. Lett. 15, No. 8, 2719-2732 (2021). MSC: 90C25 65K15 PDFBibTeX XMLCite \textit{G. Banjac} and \textit{J. Lygeros}, Optim. Lett. 15, No. 8, 2719--2732 (2021; Zbl 1477.90059) Full Text: DOI arXiv
Hamada, Masaki; Hirai, Hiroshi Computing the nc-rank via discrete convex optimization on CAT(0) spaces. (English) Zbl 1528.68422 SIAM J. Appl. Algebra Geom. 5, No. 3, 455-478 (2021). MSC: 68W30 06C20 15A03 15A27 68Q25 90C25 PDFBibTeX XMLCite \textit{M. Hamada} and \textit{H. Hirai}, SIAM J. Appl. Algebra Geom. 5, No. 3, 455--478 (2021; Zbl 1528.68422) Full Text: DOI arXiv
Yang, Yixuan; Tang, Yuchao; Wen, Meng; Zeng, Tieyong Preconditioned Douglas-Rachford type primal-dual method for solving composite monotone inclusion problems with applications. (English) Zbl 1476.90248 Inverse Probl. Imaging 15, No. 4, 787-825 (2021). MSC: 90C25 90C46 47A52 PDFBibTeX XMLCite \textit{Y. Yang} et al., Inverse Probl. Imaging 15, No. 4, 787--825 (2021; Zbl 1476.90248) Full Text: DOI
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
Nguyen, Luong Van Weak sharpness and finite termination for variational inequalities on Hadamard manifolds. (English) Zbl 1470.49023 Optimization 70, No. 7, 1443-1458 (2021). MSC: 49J40 47H05 PDFBibTeX XMLCite \textit{L. Van Nguyen}, Optimization 70, No. 7, 1443--1458 (2021; Zbl 1470.49023) Full Text: DOI
Patrascu, Andrei; Irofti, Paul Stochastic proximal splitting algorithm for composite minimization. (English) Zbl 1475.90106 Optim. Lett. 15, No. 6, 2255-2273 (2021). MSC: 90C30 90C15 PDFBibTeX XMLCite \textit{A. Patrascu} and \textit{P. Irofti}, Optim. Lett. 15, No. 6, 2255--2273 (2021; Zbl 1475.90106) Full Text: DOI arXiv
Dashputre, Samir; Padmavati; Sakure, Kavita Convergence results for proximal point algorithm in complete \(\mathrm{CAT}(0)\) space for multivalued mappings. (English) Zbl 1494.47104 J. Indones. Math. Soc. 27, No. 1, 29-47 (2021). MSC: 47J25 47H09 54E50 54C60 65K10 PDFBibTeX XMLCite \textit{S. Dashputre} et al., J. Indones. Math. Soc. 27, No. 1, 29--47 (2021; Zbl 1494.47104) Full Text: DOI
Bhat, Mohd Iqbal; Shafi, Sumeera; Malik, Mudasir Ahmad \(H\)-mixed accretive mapping and proximal point method for solving a system of generalized set-valued variational inclusions. (English) Zbl 1494.47103 Numer. Funct. Anal. Optim. 42, No. 8, 955-972 (2021). MSC: 47J25 47H06 47H09 47J22 49J40 PDFBibTeX XMLCite \textit{M. I. Bhat} et al., Numer. Funct. Anal. Optim. 42, No. 8, 955--972 (2021; Zbl 1494.47103) Full Text: DOI
Grad, Sorin-Mihai; Lara, Felipe Solving mixed variational inequalities beyond convexity. (English) Zbl 1475.90111 J. Optim. Theory Appl. 190, No. 2, 565-580 (2021). MSC: 90C33 PDFBibTeX XMLCite \textit{S.-M. Grad} and \textit{F. Lara}, J. Optim. Theory Appl. 190, No. 2, 565--580 (2021; Zbl 1475.90111) Full Text: DOI
Zaslavski, Alexander J. Optimization on solution sets of common fixed point problems. (English) Zbl 1479.49001 Springer Optimization and Its Applications 178. Cham: Springer (ISBN 978-3-030-78848-3/hbk; 978-3-030-78851-3/pbk; 978-3-030-78849-0/ebook). xi, 434 p. (2021). Reviewer: Samir Kumar Neogy (New Delhi) MSC: 49-01 49J27 90C25 90-01 26B25 91A05 PDFBibTeX XMLCite \textit{A. J. Zaslavski}, Optimization on solution sets of common fixed point problems. Cham: Springer (2021; Zbl 1479.49001) Full Text: DOI
Combettes, Patrick L.; Woodstock, Zev C. Reconstruction of functions from prescribed proximal points. (English) Zbl 1472.41014 J. Approx. Theory 268, Article ID 105606, 26 p. (2021). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A50 41A29 41A65 PDFBibTeX XMLCite \textit{P. L. Combettes} and \textit{Z. C. Woodstock}, J. Approx. Theory 268, Article ID 105606, 26 p. (2021; Zbl 1472.41014) Full Text: DOI arXiv
Zhang, You-Cai; Guo, Ke; Wang, Tao Generalized Krasnoselskii-Mann-type iteration for nonexpansive mappings in Banach spaces. (English) Zbl 1474.47141 J. Oper. Res. Soc. China 9, No. 1, 195-206 (2021). MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{Y.-C. Zhang} et al., J. Oper. Res. Soc. China 9, No. 1, 195--206 (2021; Zbl 1474.47141) Full Text: DOI
Leuştean, Laurenţiu; Pinto, Pedro Quantitative results on a Halpern-type proximal point algorithm. (English) Zbl 07353215 Comput. Optim. Appl. 79, No. 1, 101-125 (2021). MSC: 47H05 47H09 47J25 03F10 PDFBibTeX XMLCite \textit{L. Leuştean} and \textit{P. Pinto}, Comput. Optim. Appl. 79, No. 1, 101--125 (2021; Zbl 07353215) Full Text: DOI arXiv
Ansari, Qamrul Hasan; Babu, Feeroz Proximal point algorithm for inclusion problems in Hadamard manifolds with applications. (English) Zbl 1479.49017 Optim. Lett. 15, No. 3, 901-921 (2021). Reviewer: Raffaella Servadei (Arcavata di Rende) MSC: 49J40 47J20 47J22 PDFBibTeX XMLCite \textit{Q. H. Ansari} and \textit{F. Babu}, Optim. Lett. 15, No. 3, 901--921 (2021; Zbl 1479.49017) Full Text: DOI
Khatibzadeh, Hadi; Rahimi Piranfar, Mohsen; Rooin, Jamal Convergence of dissipative-like dynamics and algorithms governed by set-valued nonexpansive mappings. (English) Zbl 07340059 Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 1101-1121 (2021). MSC: 47H04 47H09 37K40 34A60 47J25 PDFBibTeX XMLCite \textit{H. Khatibzadeh} et al., Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 1101--1121 (2021; Zbl 07340059) Full Text: DOI
Shen, Yuan; Zhang, Xingying; Zhang, Xiayang A partial PPA block-wise ADMM for multi-block linearly constrained separable convex optimization. (English) Zbl 1465.90065 Optimization 70, No. 3, 631-657 (2021). MSC: 90C25 90C30 65K05 94A08 PDFBibTeX XMLCite \textit{Y. Shen} et al., Optimization 70, No. 3, 631--657 (2021; Zbl 1465.90065) Full Text: DOI
Khatibzadeh, Hadi; Mohebbi, Vahid Monotone and pseudo-monotone equilibrium problems in Hadamard spaces. (English) Zbl 07338141 J. Aust. Math. Soc. 110, No. 2, 220-242 (2021). MSC: 47H05 47J20 47J25 49J40 90C25 65K10 PDFBibTeX XMLCite \textit{H. Khatibzadeh} and \textit{V. Mohebbi}, J. Aust. Math. Soc. 110, No. 2, 220--242 (2021; Zbl 07338141) Full Text: DOI arXiv
Pinto, Pedro A rate of metastability for the Halpern type proximal point algorithm. (English) Zbl 07336647 Numer. Funct. Anal. Optim. 42, No. 3, 320-343 (2021). MSC: 47H05 47H09 47J25 03F10 PDFBibTeX XMLCite \textit{P. Pinto}, Numer. Funct. Anal. Optim. 42, No. 3, 320--343 (2021; Zbl 07336647) Full Text: DOI arXiv
Sahu, Daya Ram; Kumar, Ajeet; Kang, Shin Min Proximal point algorithms based on \(S\)-iterative technique for nearly asymptotically quasi-nonexpansive mappings and applications. (English) Zbl 07331342 Numer. Algorithms 86, No. 4, 1561-1590 (2021). MSC: 47H09 47H10 49M05 PDFBibTeX XMLCite \textit{D. R. Sahu} et al., Numer. Algorithms 86, No. 4, 1561--1590 (2021; Zbl 07331342) Full Text: DOI
Chang, Shih-sen; Wang, L.; Zhao, L. C.; Liu, X. D. A proximal point algorithm for finding minimizers and fixed points of quasi-pseudo-contractive mappings in CAT(0) spaces. (English) Zbl 1484.47151 J. Fixed Point Theory Appl. 23, No. 1, Paper No. 5, 19 p. (2021). MSC: 47J25 47H09 54H25 PDFBibTeX XMLCite \textit{S.-s. Chang} et al., J. Fixed Point Theory Appl. 23, No. 1, Paper No. 5, 19 p. (2021; Zbl 1484.47151) Full Text: DOI
Shen, Yuan; Zuo, Yannian; Yu, Aolin A partially proximal S-ADMM for separable convex optimization with linear constraints. (English) Zbl 1459.90159 Appl. Numer. Math. 160, 65-83 (2021). MSC: 90C25 PDFBibTeX XMLCite \textit{Y. Shen} et al., Appl. Numer. Math. 160, 65--83 (2021; Zbl 1459.90159) Full Text: DOI
Kohlenbach, Ulrich Quantitative results on the proximal point algorithm in uniformly convex Banach spaces. (English) Zbl 1461.47024 J. Convex Anal. 28, No. 1, 11-18 (2021). MSC: 47H05 47J25 03F10 PDFBibTeX XMLCite \textit{U. Kohlenbach}, J. Convex Anal. 28, No. 1, 11--18 (2021; Zbl 1461.47024) Full Text: Link
Bagheri, Malihe; Roohi, Mehdi Strong convergence theorems for weighted resolvent average of a finite family of monotone operators. (English) Zbl 1513.47115 Int. J. Nonlinear Anal. Appl. 11, No. 2, 469-481 (2020). MSC: 47J25 47H05 49J40 PDFBibTeX XMLCite \textit{M. Bagheri} and \textit{M. Roohi}, Int. J. Nonlinear Anal. Appl. 11, No. 2, 469--481 (2020; Zbl 1513.47115) Full Text: DOI
Sahu, D. R. Applications of accelerated computational methods for quasi-nonexpansive operators to optimization problems. (English) Zbl 1491.90123 Soft Comput. 24, No. 23, 17887-17911 (2020). MSC: 90C25 PDFBibTeX XMLCite \textit{D. R. Sahu}, Soft Comput. 24, No. 23, 17887--17911 (2020; Zbl 1491.90123) Full Text: DOI
Thounthong, Phatiphat; Pakkaranang, Nuttapol; Cho, Yeol Je; Kumam, Wiyada; Kumam, Poom The numerical reckoning of modified proximal point methods for minimization problems in non-positive curvature metric spaces. (English) Zbl 07475970 Int. J. Comput. Math. 97, No. 1-2, 245-262 (2020). MSC: 47H09 47H10 65K10 65K15 PDFBibTeX XMLCite \textit{P. Thounthong} et al., Int. J. Comput. Math. 97, No. 1--2, 245--262 (2020; Zbl 07475970) Full Text: DOI
Padcharoen, Anantachai; Kumam, Poom Fixed point optimization method for image restoration. (English) Zbl 1492.47077 Thai J. Math. 18, No. 3, 1581-1596 (2020). MSC: 47J25 47H09 94A08 PDFBibTeX XMLCite \textit{A. Padcharoen} and \textit{P. Kumam}, Thai J. Math. 18, No. 3, 1581--1596 (2020; Zbl 1492.47077) Full Text: Link