Duong Viet Thong; Li, Xiaoxiao; Dong, Qiao-Li; Vu Tien Dung; Nguyen Phuong Lan Strong and linear convergence of projection-type method with an inertial term for finding minimum-norm solutions of pseudomonotone variational inequalities in Hilbert spaces. (English) Zbl 07669768 Numer. Algorithms 92, No. 4, 2243-2274 (2023). MSC: 65-XX 47H09 47J20 65K15 90C25 PDFBibTeX XMLCite \textit{Duong Viet Thong} et al., Numer. Algorithms 92, No. 4, 2243--2274 (2023; Zbl 07669768) Full Text: DOI
Thong, Duong Viet; Li, Xiao-Huan; Dong, Qiao-Li; Cho, Yeol Je; Rassias, Themistocles M. A projection and contraction method with adaptive step sizes for solving bilevel pseudo-monotone variational inequality problems. (English) Zbl 07558497 Optimization 71, No. 7, 2073-2096 (2022). MSC: 47H09 47J20 47J05 47J25 PDFBibTeX XMLCite \textit{D. V. Thong} et al., Optimization 71, No. 7, 2073--2096 (2022; Zbl 07558497) Full Text: DOI
He, Songnian; Dong, Qiao-Li; Tian, Hanlin; Li, Xiao-Huan On the optimal relaxation parameters of Krasnosel’skiǐ-Mann iteration. (English) Zbl 07419476 Optimization 70, No. 9, 1959-1986 (2021). MSC: 47H09 47H10 65J15 PDFBibTeX XMLCite \textit{S. He} et al., Optimization 70, No. 9, 1959--1986 (2021; Zbl 07419476) Full Text: DOI
Dong, Qiao-Li; Cai, Gang Convergence analysis for fixed point problem of asymptotically nonexpansive mappings and variational inequality problem in Hilbert spaces. (English) Zbl 1486.47117 Optimization 70, No. 5-6, 1171-1193 (2021). MSC: 47J26 47H09 47H10 PDFBibTeX XMLCite \textit{Q.-L. Dong} and \textit{G. Cai}, Optimization 70, No. 5--6, 1171--1193 (2021; Zbl 1486.47117) Full Text: DOI
Duong Viet Thong; Nguyen Anh Triet; Li, Xiao-Huan; Dong, Qiao-Li Strong convergence of extragradient methods for solving bilevel pseudo-monotone variational inequality problems. (English) Zbl 1444.47073 Numer. Algorithms 83, No. 3, 1123-1143 (2020). Reviewer: Yekini Shehu (Nsukka) MSC: 47J25 47H09 65K15 PDFBibTeX XMLCite \textit{Duong Viet Thong} et al., Numer. Algorithms 83, No. 3, 1123--1143 (2020; Zbl 1444.47073) Full Text: DOI
Dong, Qiao-Li; Kazmi, K. R.; Ali, Rehan; Li, Xiao-Huan Inertial Krasnosel’skiǐ-Mann type hybrid algorithms for solving hierarchical fixed point problems. (English) Zbl 1475.47089 J. Fixed Point Theory Appl. 21, No. 2, Paper No. 57, 22 p. (2019). MSC: 47J26 47H09 PDFBibTeX XMLCite \textit{Q.-L. Dong} et al., J. Fixed Point Theory Appl. 21, No. 2, Paper No. 57, 22 p. (2019; Zbl 1475.47089) Full Text: DOI
Dong, Q. L.; Yuan, H. B.; Cho, Y. J.; Rassias, Th. M. Modified inertial Mann algorithm and inertial CQ-algorithm for nonexpansive mappings. (English) Zbl 1462.65058 Optim. Lett. 12, No. 1, 87-102 (2018). MSC: 65J15 47H09 PDFBibTeX XMLCite \textit{Q. L. Dong} et al., Optim. Lett. 12, No. 1, 87--102 (2018; Zbl 1462.65058) Full Text: DOI
Dong, Qiao-Li; Zhao, Jing; He, Songnian Bounded perturbation resilience of the viscosity algorithm. (English) Zbl 1381.47047 J. Inequal. Appl. 2016, Paper No. 299, 12 p. (2016). MSC: 47J25 47H14 47H09 PDFBibTeX XMLCite \textit{Q.-L. Dong} et al., J. Inequal. Appl. 2016, Paper No. 299, 12 p. (2016; Zbl 1381.47047) Full Text: DOI
Dong, Qiao-Li; Lu, Yan-Yan; Yang, Jinfeng Cyclic hybrid methods for finding common fixed points of a finite family of nonexpansive mappings. (English) Zbl 1338.47088 J. Nonlinear Sci. Appl. 9, No. 5, 2000-2005 (2016). MSC: 47J25 65J15 47H09 PDFBibTeX XMLCite \textit{Q.-L. Dong} et al., J. Nonlinear Sci. Appl. 9, No. 5, 2000--2005 (2016; Zbl 1338.47088) Full Text: DOI Link
Dong, Qiao-Li; Yuan, Han-bo Accelerated Mann and CQ algorithms for finding a fixed point of a nonexpansive mapping. (English) Zbl 1346.47040 Fixed Point Theory Appl. 2015, Paper No. 125, 12 p. (2015). MSC: 47J25 47H09 65J15 PDFBibTeX XMLCite \textit{Q.-L. Dong} and \textit{H.-b. Yuan}, Fixed Point Theory Appl. 2015, Paper No. 125, 12 p. (2015; Zbl 1346.47040) Full Text: DOI
Dong, Qiao-Li; He, Songnian A viscosity projection method for class \(\mathfrak T\) mappings. (English) Zbl 1313.47144 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 21, No. 2, 95-109 (2013). MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{Q.-L. Dong} and \textit{S. He}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 21, No. 2, 95--109 (2013; Zbl 1313.47144)
Dong, Qiao-Li; He, Songnian Convergence in norm of projection regularized Krasnoselski-Mann iterations for fixed points of cutters. (English) Zbl 1279.47085 Numer. Funct. Anal. Optim. 34, No. 5, 485-495 (2013). Reviewer: Mădălina Păcurar (Cluj-Napoca) MSC: 47J25 90C25 47H09 90C30 PDFBibTeX XMLCite \textit{Q.-L. Dong} and \textit{S. He}, Numer. Funct. Anal. Optim. 34, No. 5, 485--495 (2013; Zbl 1279.47085) Full Text: DOI
Zhao, Jing; He, Songnian; Dong, Qiao-Li Strong convergence theorems for generalized equilibrium problems, variational inequality and fixed point problems of asymptotically strict pseudocontractive mappings in the intermediate sense. (English) Zbl 1513.47135 Thai J. Math. 9, No. 2, 267-283 (2011). MSC: 47J25 47H09 PDFBibTeX XMLCite \textit{J. Zhao} et al., Thai J. Math. 9, No. 2, 267--283 (2011; Zbl 1513.47135) Full Text: Link
Zhang, Cuijie; Zhao, Jing; Dong, Qiaoli A strong convergence theorem by a relaxed extragradient method for a general system of variational inequalities and strict pseudo-contractions. (English) Zbl 1272.47086 Nonlinear Funct. Anal. Appl. 16, No. 4, 465-479 (2011). Reviewer: Dian K. Palagachev (Bari) MSC: 47J25 47H09 47H10 49J40 PDFBibTeX XMLCite \textit{C. Zhang} et al., Nonlinear Funct. Anal. Appl. 16, No. 4, 465--479 (2011; Zbl 1272.47086)
Dong, Qiao-Li; Yao, Yonghong An iterative method for finding common solutions of system of equilibrium problems and fixed point problems in Hilbert spaces. (English) Zbl 1262.47088 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 19, No. 3, 101-116 (2011). MSC: 47J25 47H09 49J40 PDFBibTeX XMLCite \textit{Q.-L. Dong} and \textit{Y. Yao}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 19, No. 3, 101--116 (2011; Zbl 1262.47088)
Guo, Yan-Ni; Dong, Qiao-Li; Zhang, Zhi-Fei Notes on weak and strong convergence theorems for a finite family of asymptotically strict pseudo-contractive mappings in the intermediate sense. (English) Zbl 1253.47044 Comput. Math. Appl. 62, No. 4, 2132-2141 (2011). Reviewer: Mădălina Păcurar (Cluj-Napoca) MSC: 47J25 47H09 PDFBibTeX XMLCite \textit{Y.-N. Guo} et al., Comput. Math. Appl. 62, No. 4, 2132--2141 (2011; Zbl 1253.47044) Full Text: DOI
Dong, Qiao-Li; He, Songnian; Zhao, Jing Convergence theorems of shrinking projection methods for equilibrium problem, variational inequality problem and a finite family of relatively quasi-nonexpansive mappings. (English) Zbl 1368.47056 Appl. Math. Comput. 217, No. 24, 10256-10266 (2011). MSC: 47J25 47H09 PDFBibTeX XMLCite \textit{Q.-L. Dong} et al., Appl. Math. Comput. 217, No. 24, 10256--10266 (2011; Zbl 1368.47056) Full Text: DOI
Dong, Qiao-Li; He, Songnian; Su, Fang Strong convergence theorems by shrinking projection methods for class \(\mathcal I\) mappings. (English) Zbl 1215.47067 Fixed Point Theory Appl. 2011, Article ID 681214, 7 p. (2011). MSC: 47J25 47H09 PDFBibTeX XMLCite \textit{Q.-L. Dong} et al., Fixed Point Theory Appl. 2011, Article ID 681214, 7 p. (2011; Zbl 1215.47067) Full Text: DOI EuDML
Dong, Qiao-Li; He, Songnian; Su, Fang Strong convergence of an iterative algorithm for an infinite family of strict pseudo-contractions in Banach spaces. (English) Zbl 1192.65066 Appl. Math. Comput. 216, No. 3, 959-969 (2010). Reviewer: Iulian Coroian (Baia Mare) MSC: 65J15 47J05 47J20 47J25 47H09 49J40 PDFBibTeX XMLCite \textit{Q.-L. Dong} et al., Appl. Math. Comput. 216, No. 3, 959--969 (2010; Zbl 1192.65066) Full Text: DOI