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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 68, 2019 - Issue 11
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Articles

Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities

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Pages 2207-2226 | Received 27 Sep 2018, Accepted 01 May 2019, Published online: 21 May 2019

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Shaotao Hu, Yuanheng Wang, Xiaoxiao Li & Qiao-Li Dong. (2024) A new modified extragradient method with line-search process for solving pseudomonotone variational inequality in Hilbert spaces. Optimization 73:1, pages 229-249.
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Bing Tan, Pongsakorn Sunthrayuth, Prasit Cholamjiak & Yeol Je Cho. (2023) Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem. International Journal of Computer Mathematics 100:3, pages 525-545.
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Lateef O. Jolaoso & Yekini Shehu. (2022) Single Bregman projection method for solving variational inequalities in reflexive Banach spaces. Applicable Analysis 101:14, pages 4807-4828.
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Jingjing Fan, Xiaolong Qin & Bing Tan. (2022) Tseng's extragradient algorithm for pseudomonotone variational inequalities on Hadamard manifolds. Applicable Analysis 101:6, pages 2372-2385.
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Pham Ky Anh, Duong Viet Thong & Nguyen The Vinh. (2022) Improved inertial extragradient methods for solving pseudo-monotone variational inequalities. Optimization 71:3, pages 505-528.
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Simeon Reich, Truong Minh Tuyen, Pongsakorn Sunthrayuth & Prasit Cholamjiak. (2021) Two New Inertial Algorithms for Solving Variational Inequalities in Reflexive Banach Spaces. Numerical Functional Analysis and Optimization 42:16, pages 1954-1984.
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Duong Viet Thong & Dang Van Hieu. (2020) Mann-type algorithms for variational inequality problems and fixed point problems. Optimization 69:10, pages 2305-2326.
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Rose Maluleka, Godwin Chidi Ugwunnadi & Maggie Aphane. (2023) Inertial Method for Solving Pseudomonotone Variational Inequality and Fixed Point Problems in Banach Spaces. Axioms 12:10, pages 960.
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Xian-Jun Long, Jing Yang & Yeol Je Cho. (2023) Modified Subgradient Extragradient Algorithms with A New Line-Search Rule for Variational Inequalities. Bulletin of the Malaysian Mathematical Sciences Society 46:4.
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Shaotao Hu, Yuanheng Wang & Qiao-Li Dong. (2023) Convergence Analysis of a New Bregman Extragradient Method for Solving Fixed Point Problems and Variational Inequality Problems in Reflexive Banach Spaces. Journal of Scientific Computing 96:1.
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Shaotao Hu, Yuanheng Wang, Ping Jing & Qiao-Li Dong. (2022) A new Bregman projection method with a self-adaptive process for solving variational inequality problem in reflexive Banach spaces. Optimization Letters 17:4, pages 935-954.
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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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G. N. Ogwo, C. Izuchukwu & O. T. Mewomo. (2022) Inertial extrapolation method for a class of generalized variational inequality problems in real Hilbert spaces. Periodica Mathematica Hungarica 86:1, pages 217-238.
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Duong Viet Thong, Lu-Lu Liu, Qiao-Li Dong, Luong Van Long & Pham Anh Tuan. (2023) Fast relaxed inertial Tseng’s method-based algorithm for solving variational inequality and fixed point problems in Hilbert spaces. Journal of Computational and Applied Mathematics 418, pages 114739.
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Duong Viet Thong & Vu Tien Dung. (2022) A Relaxed Inertial Factor of the Modified Subgradient Extragradient Method for Solving Pseudo Monotone Variational Inequalities in Hilbert Spaces. Acta Mathematica Scientia 43:1, pages 184-204.
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Yekini Shehu, Olaniyi S. Iyiola & Jeh-Chih Yao. (2021) New projection methods with inertial steps for variational inequalities. Optimization 71:16, pages 4731-4762.
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Yekini Shehu, Lulu Liu, Qiao-Li Dong & Jen-Chih Yao. (2022) A Relaxed Forward-Backward-Forward Algorithm with Alternated Inertial Step: Weak and Linear Convergence. Networks and Spatial Economics 22:4, pages 959-990.
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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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Pongsakorn Sunthrayuth, Lateef Olakunle Jolaoso & Prasit Cholamjiak. (2021) New Bregman projection methods for solving pseudo-monotone variational inequality problem. Journal of Applied Mathematics and Computing 68:3, pages 1565-1589.
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Bing Tan & Sun Young Cho. (2022) Inertial extragradient algorithms with non-monotone stepsizes for pseudomonotone variational inequalities and applications. Computational and Applied Mathematics 41:3.
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Nguyen Xuan Linh, Duong Viet Thong, Prasit Cholamjiak, Pham Anh Tuan & Luong Van Long. (2022) Strong Convergence of an Inertial Extragradient Method with an Adaptive Nondecreasing Step Size for Solving Variational Inequalities. Acta Mathematica Scientia 42:2, pages 795-812.
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Lateef Olakunle Jolaoso, Yekini Shehu & Yeol Je Cho. (2021) Convergence analysis for variational inequalities and fixed point problems in reflexive Banach spaces. Journal of Inequalities and Applications 2021:1.
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Bing Tan, Songxiao Li & Xiaolong Qin. (2021) On modified subgradient extragradient methods for pseudomonotone variational inequality problems with applications. Computational and Applied Mathematics 40:7.
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Simeon Reich, Duong Viet Thong, Prasit Cholamjiak & Luong Van Long. (2021) Inertial projection-type methods for solving pseudomonotone variational inequality problems in Hilbert space. Numerical Algorithms 88:2, pages 813-835.
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Viet Thong Duong & Tu Vuong Phan. (2021) Improved subgradient extragradient methods for solving pseudomonotone variational inequalities in Hilbert spaces. Applied Numerical Mathematics 163, pages 221-238.
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Gang Cai, Qiao-Li Dong & Yu Peng. (2021) Strong Convergence Theorems for Solving Variational Inequality Problems with Pseudo-monotone and Non-Lipschitz Operators. Journal of Optimization Theory and Applications 188:2, pages 447-472.
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Lateef Olakunle Jolaoso. 2021. Metric Fixed Point Theory. Metric Fixed Point Theory 159 183 .
Lateef Olakunle Jolaoso & Maggie Aphane. (2020) Weak and strong convergence Bregman extragradient schemes for solving pseudo-monotone and non-Lipschitz variational inequalities. Journal of Inequalities and Applications 2020:1.
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Aviv Gibali & Yekini Shehu. (2020) A Symmetric FBF Method for Solving Monotone Inclusions. Symmetry 12:9, pages 1456.
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Duong Viet Thong, Nguyen The Vinh & Yeol Je Cho. (2019) New strong convergence theorem of the inertial projection and contraction method for variational inequality problems. Numerical Algorithms 84:1, pages 285-305.
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Jamilu Abubakar, Poom Kumam, Habib ur Rehman & Abdulkarim Hassan Ibrahim. (2020) Inertial Iterative Schemes with Variable Step Sizes for Variational Inequality Problem Involving Pseudomonotone Operator. Mathematics 8:4, pages 609.
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