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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 69, 2020 - Issue 10
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Articles

Relaxed extragradient algorithm for solving pseudomonotone variational inequalities in Hilbert spaces

Dang Van Hieua Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, VietnamCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-5195-1637View further author information
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Yeol Je Chob Department of Mathematics Education, Gyeongsang National University, Jinju, Korea;c School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, People's Republic of ChinaView further author information
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Yi-bin Xiaoc School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, People's Republic of ChinaView further author information
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Poom Kumamd Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, ThailandORCID Iconhttps://orcid.org/0000-0002-5463-4581View further author information
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Pages 2279-2304 | Received 14 May 2019, Accepted 12 Oct 2019, Published online: 07 Nov 2019

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Read on this site (3)

Dang Van Hieu & Simeon Reich. (2022) Two Bregman projection methods for solving variational inequalities. Optimization 71:7, pages 1777-1802.
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Habib ur Rehman, Poom Kumam, Meshal Shutaywi, Nuttapol Pakkaranang & Nopparat Wairojjana. (2022) An inertial extragradient method for iteratively solving equilibrium problems in real Hilbert spaces. International Journal of Computer Mathematics 99:6, pages 1081-1104.
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Dang Van Hieu & Prasit Cholamjiak. (2022) Modified extragradient method with Bregman distance for variational inequalities. Applicable Analysis 101:2, pages 655-670.
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Articles from other publishers (19)

Min Li, Zhongbing Xie, Prasit Cholamjiak & Kunrada Kankam. (2024) Inertial iterative method for solving equilibrium problems and fixed point problems. Computational and Applied Mathematics 43:1.
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Huanqin Wu, Zhongbing Xie & Min Li. (2023) An improved subgradient extragradient method with two different parameters for solving variational inequalities in reflexive Banach spaces. Computational and Applied Mathematics 42:6.
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Ferdinard U. Ogbuisi, Yekini Shehu & Jen-Chih Yao. (2023) Relaxed Single Projection Methods for Solving Bilevel Variational Inequality Problems in Hilbert Spaces. Networks and Spatial Economics 23:3, pages 641-678.
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Zhongbing Xie, Gang Cai & Qiao-Li Dong. (2022) Strong convergence of Bregman projection method for solving variational inequality problems in reflexive Banach spaces. Numerical Algorithms 93:1, pages 269-294.
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Prasit Cholamjiak, Dang Van Hieu & Le Dung Muu. (2022) Inertial Splitting Methods Without Prior Constants for Solving Variational Inclusions of Two Operators. Bulletin of the Iranian Mathematical Society 48:6, pages 3019-3045.
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Duong Viet Thong, Phan Tu Vuong, Pham Ky Anh & Le Dung Muu. (2022) A New Projection-type Method with Nondecreasing Adaptive Step-sizes for Pseudo-monotone Variational Inequalities. Networks and Spatial Economics 22:4, pages 803-829.
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Lateef Olakunle Jolaoso, Pongsakorn Sunthrayuth, Prasit Cholamjiak & Yeol Je Cho. (2022) Analysis of two versions of relaxed inertial algorithms with Bregman divergences for solving variational inequalities. Computational and Applied Mathematics 41:7.
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Zhongbing Xie, Gang Cai, Xiaoxiao Li & Qiao-Li Dong. (2022) An improved algorithm with Armijo line-search rule for solving pseudomonotone variational inequality problems in Banach spaces. Analysis and Mathematical Physics 12:5.
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Tingting Cai, Dongmin Yu, Huanan Liu & Fengkai Gao. (2022) Computational Analysis of Variational Inequalities Using Mean Extra-Gradient Approach. Mathematics 10:13, pages 2318.
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Ferdinard U. Ogbuisi, Yekini Shehu & Jen-Chih Yao. (2021) An alternated inertial method for pseudomonotone variational inequalities in Hilbert spaces. Optimization and Engineering 23:2, pages 917-945.
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Zhong-bao Wang, Xue Chen, Jiang Yi & Zhang-you Chen. (2021) Inertial projection and contraction algorithms with larger step sizes for solving quasimonotone variational inequalities. Journal of Global Optimization 82:3, pages 499-522.
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Dang Van Hieu, Pham Ky Anh & Le Dung Muu. (2020) Strong convergence of subgradient extragradient method with regularization for solving variational inequalities. Optimization and Engineering 22:4, pages 2575-2602.
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Bing Tan, Xiaolong Qin & Jen-Chih Yao. (2021) Two modified inertial projection algorithms for bilevel pseudomonotone variational inequalities with applications to optimal control problems. Numerical Algorithms 88:4, pages 1757-1786.
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Dang Van Hieu, Yeol Je Cho, Yi-Bin Xiao & Poom Kumam. (2020) Modified Extragradient Method for Pseudomonotone Variational Inequalities in Infinite Dimensional Hilbert Spaces. Vietnam Journal of Mathematics 49:4, pages 1165-1183.
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D.R. Sahu & Amit Kumar Singh. (2021) Inertial normal S-type Tseng’s extragradient algorithm for solution of variational inequality problems. RAIRO - Operations Research 55:4, pages 2165-2180.
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Apichit Buakird, Nimit Nimana & Narin Petrot. (2021) A Mean Extragradient Method for Solving Variational Inequalities. Symmetry 13:3, pages 462.
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Duong Viet Thong, Yekini Shehu, Olaniyi S. Iyiola & Hoang Van Thang. (2020) New hybrid projection methods for variational inequalities involving pseudomonotone mappings. Optimization and Engineering 22:1, pages 363-386.
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Dang Van Hieu, Pham Ky Anh & Le Dung Muu. (2020) Modified forward–backward splitting method for variational inclusions. 4OR 19:1, pages 127-151.
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Dang Van Hieu, Jean Jacques Strodiot & Le Dung Muu. (2020) An Explicit Extragradient Algorithm for Solving Variational Inequalities. Journal of Optimization Theory and Applications 185:2, pages 476-503.
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