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Original Articles

A New Extragradient Method for Strongly Pseudomonotone Variational Inequalities

Pages 1131-1143 | Received 28 Jan 2013, Accepted 09 Jul 2016, Published online: 26 Jul 2016

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Read on this site (6)

Pham Tien Kha & Pham Duy Khanh. (2022) Variational inequalities governed by strongly pseudomonotone operators. Optimization 71:7, pages 1983-2004.
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Dang Van Hieu & Simeon Reich. (2022) Two Bregman projection methods for solving variational inequalities. Optimization 71:7, pages 1777-1802.
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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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Trinh Ngoc Hai. (2021) A simple fork algorithm for solving pseudomonotone non-Lipschitz variational inequalities. International Journal of Computer Mathematics 98:9, pages 1807-1820.
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Dang Van Hieu, Yeol Je Cho, Yi-bin Xiao & Poom Kumam. (2020) Relaxed extragradient algorithm for solving pseudomonotone variational inequalities in Hilbert spaces. Optimization 69:10, pages 2279-2304.
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Dang Van Hieu. (2018) New extragradient method for a class of equilibrium problems in Hilbert spaces. Applicable Analysis 97:5, pages 811-824.
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Articles from other publishers (17)

Olawale K. Oyewole, Mebawondu Akindele Adebayo & Oluwatosin T. Mewomo. (2024) A strong convergence algorithm for approximating a common solution of variational inequality and fixed point problems in real Hilbert space. Studia Universitatis Babes-Bolyai Matematica 69:1, pages 183-209.
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Yekini Shehu, Qiao-Li Dong & Lu-Lu Liu. (2022) Fast alternated inertial projection algorithms for pseudo-monotone variational inequalities. Journal of Computational and Applied Mathematics 415, pages 114517.
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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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Dan Mou, Zhuwen Wang, Xili Tan & Shaoyun Shi. (2022) A variational inequality approach with SVM optimization algorithm for identifying mineral lithology. Journal of Applied Geophysics 204, pages 104747.
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Duong Viet Thong & Phan Tu Vuong. (2022) R-linear convergence analysis of inertial extragradient algorithms for strongly pseudo-monotone variational inequalities. Journal of Computational and Applied Mathematics 406, pages 114003.
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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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Duong Viet Thong, Xiao-Huan Li, Qiao-Li Dong, Yeol Je Cho & Themistocles M. Rassias. (2020) An inertial Popov’s method for solving pseudomonotone variational inequalities. Optimization Letters 15:2, pages 757-777.
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Aviv Gibali & Duong Viet Thong. (2020) A new low-cost double projection method for solving variational inequalities. Optimization and Engineering 21:4, pages 1613-1634.
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Phan Quoc Khanh, Duong Viet Thong & Nguyen The Vinh. (2020) Versions of the Subgradient Extragradient Method for Pseudomonotone Variational Inequalities. Acta Applicandae Mathematicae 170:1, pages 319-345.
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Trinh Ngoc Hai. (2020) Two modified extragradient algorithms for solving variational inequalities. Journal of Global Optimization 78:1, pages 91-106.
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Dang Van Hieu, Le Van Vy & Pham Kim Quy. (2019) Three-operator splitting algorithm for a class of variational inclusion problems. Bulletin of the Iranian Mathematical Society 46:4, pages 1055-1071.
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Luong V. Nguyen & Xiaolong Qin. (2019) Some Results on Strongly Pseudomonotone Quasi-Variational Inequalities. Set-Valued and Variational Analysis 28:2, pages 239-257.
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S. S. Chang, Salahuddin, L. Wang & M. Liu. (2019) On the weak convergence for solving semistrictly quasi-monotone variational inequality problems. Journal of Inequalities and Applications 2019:1.
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Dang Van Hieu, Pham Ky Anh & Le Dung Muu. (2019) Modified extragradient-like algorithms with new stepsizes for variational inequalities. Computational Optimization and Applications 73:3, pages 913-932.
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Duong Viet Thong & Dang Van Hieu. (2018) Inertial extragradient algorithms for strongly pseudomonotone variational inequalities. Journal of Computational and Applied Mathematics 341, pages 80-98.
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Phan Tu Vuong. (2018) On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities. Journal of Optimization Theory and Applications 176:2, pages 399-409.
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Dang Van Hieu & Duong Viet Thong. (2017) New extragradient-like algorithms for strongly pseudomonotone variational inequalities. Journal of Global Optimization 70:2, pages 385-399.
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