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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 71, 2022 - Issue 7
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Articles

Two Bregman projection methods for solving variational inequalities

Dang Van Hieua TIMAS-Thang Long University, Hanoi, VietnamCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-5195-1637View further author information
ORCID Icon &
Simeon Reichb Department of Mathematics, The Technion – Israel Institute of Technology, Haifa, IsraelView further author information
Pages 1777-1802 | Received 09 Feb 2020, Accepted 03 Oct 2020, Published online: 05 Nov 2020

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Chinedu Izuchukwu, Simeon Reich & Yekini Shehu. (2024) One-step Bregman projection methods for solving variational inequalities in reflexive Banach spaces. Optimization 73:5, pages 1519-1549.
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Zhong-bao Wang, Pongsakorn Sunthrayuth, Abubakar Adamu & Prasit Cholamjiak. (2023) Modified accelerated Bregman projection methods for solving quasi-monotone variational inequalities. Optimization 0:0, pages 1-35.
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Articles from other publishers (10)

Huilin Tan, Qian Yan, Gang Cai & Qiao-Li Dong. (2024) Strong convergence theorem of a new modified Bregman extragradient method to solve fixed point problems and variational inequality problems in general reflexive Banach spaces. Communications in Nonlinear Science and Numerical Simulation 135, pages 108051.
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Matthew K. Tam & Daniel J. Uteda. (2023) Bregman-Golden Ratio Algorithms for Variational Inequalities. Journal of Optimization Theory and Applications 199:3, pages 993-1021.
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Lateef Olakunle Jolaoso, Nattawut Pholasa, Pongsakorn Sunthrayuth & Prasit Cholamjiak. (2023) Inertial‐like Bregman projection method for solving systems of variational inequalities. Mathematical Methods in the Applied Sciences 46:16, pages 16876-16898.
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Duong Viet Thong, Vu Tien Dung, Pham Ky Anh & Hoang Van Thang. (2023) A single projection algorithm with double inertial extrapolation steps for solving pseudomonotone variational inequalities in Hilbert space. Journal of Computational and Applied Mathematics 426, pages 115099.
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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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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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Dang Van Hieu, Pham Ky Anh, Le Dung Muu & Jean Jacques Strodiot. (2021) Iterative regularization methods with new stepsize rules for solving variational inclusions. Journal of Applied Mathematics and Computing 68:1, pages 571-599.
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Bing Tan, Songxiao Li & Xiaolong Qin. (2021) An accelerated extragradient algorithm for bilevel pseudomonotone variational inequality problems with application to optimal control problems. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 115:4.
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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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Dang Van Hieu, Pham Kim Quy & Hoang Ngoc Duong. (2021) Strong convergence of double-projection method for variational inequality problems. Computational and Applied Mathematics 40:3.
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