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Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 2
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Articles

Modified extragradient method with Bregman distance for variational inequalities

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Pages 655-670 | Received 27 May 2019, Accepted 08 Apr 2020, Published online: 29 Apr 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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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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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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L.O. Jolaoso, O.K. Oyewole & K.O. Aremu. (2023) Inertial self-adaptive parallel extragradient-type method for common solution of variational inequality problems. Applicable Analysis 102:4, pages 1100-1122.
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Thong Duong Viet, Luong Van Long, Xiao-Huan Li, Qiao-Li Dong, Yeol Je Cho & Pham Anh Tuan. (2022) A new self-adaptive algorithm for solving pseudomonotone variational inequality problems in Hilbert spaces. Optimization 71:12, pages 3669-3693.
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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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Articles from other publishers (21)

Oluwatosin T. Mewomo, Timilehin O. Alakoya, Amara Eze & Olaniyi S. Iyiola. (2024) An inertial‐like Tseng's extragradient method for solving pseudomonotone variational inequalities in reflexive Banach spaces. Mathematical Methods in the Applied Sciences.
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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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O. T. Mewomo, T. O. Alakoya & S. H. Khan. (2023) Inertial hybrid gradient method with adaptive step size for variational inequality and fixed point problems of multivalued mappings in Banach spaces. Afrika Matematika 34:3.
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Lateef Olakunle Jolaoso, Maggie Aphane, Musiliu Tayo Raji, Idowu Ademola Osinuga & Bakai Ishola Olajuwon. (2022) Convergence theorems for solving a system of pseudomonotone variational inequalities using Bregman distance in Banach spaces. Bollettino dell'Unione Matematica Italiana 15:4, pages 561-588.
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Jing Zhao, Qiao-Li Dong, Michael Th. Rassias & Fenghui Wang. (2022) Two-step inertial Bregman alternating minimization algorithm for nonconvex and nonsmooth problems. Journal of Global Optimization 84:4, pages 941-966.
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Muhammad Bilal Khan, Gustavo Santos-García, Savin Treanțǎ, Muhammad Aslam Noor & Mohamed S. Soliman. (2022) Perturbed Mixed Variational-like Inequalities and Auxiliary Principle Pertaining to a Fuzzy Environment. Symmetry 14:12, pages 2503.
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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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Chinedu Izuchukwu, Simeon Reich & Yekini Shehu. (2022) Convergence of Two Simple Methods for Solving Monotone Inclusion Problems in Reflexive Banach Spaces. Results in Mathematics 77:4.
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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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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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Withun Phuengrattana & Chalongchai Klanarong. (2021) Strong convergence of the viscosity approximation method for the split generalized equilibrium problem. Rendiconti del Circolo Matematico di Palermo Series 2 71:1, pages 39-64.
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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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Jamilu Abubakar, Poom Kumam & Habib ur Rehman. (2022) Self-adaptive inertial subgradient extragradient scheme for pseudomonotone variational inequality problem. International Journal of Nonlinear Sciences and Numerical Simulation 23:1, pages 77-96.
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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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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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Lateef Olakunle Jolaoso, Christian Chibueze Okeke & Yekini Shehu. (2021) Extragradient Algorithm for Solving Pseudomonotone Equilibrium Problem with Bregman Distance in Reflexive Banach Spaces. Networks and Spatial Economics 21:4, pages 873-903.
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Jiangming Ma, Muhammad Aslam Noor & Khalida Inayat Noor. (2021) Generalized Higher Order Preinvex Functions and Equilibrium-like Problems. Symmetry 13:10, pages 1875.
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Lateef Olakunle Jolaoso. (2021) Modified projected subgradient method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces. Computational and Applied Mathematics 40:3.
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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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Lateef Olakunle Jolaoso & Maggie Aphane. (2020) Strong convergence inertial projection and contraction method with self adaptive stepsize for pseudomonotone variational inequalities and fixed point problems. Journal of Inequalities and Applications 2020:1.
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