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Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 14
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Research Article

Single Bregman projection method for solving variational inequalities in reflexive Banach spaces

Lateef O. Jolaosoa Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Pretoria, South AfricaORCID Iconhttps://orcid.org/0000-0002-4838-7465
ORCID Icon &
Yekini Shehub Department of Mathematics, Zhejiang Normal University, Jinhua, People's Republic of ChinaCorrespondence[email protected]
[email protected]
ORCID Iconhttps://orcid.org/0000-0001-9224-7139
ORCID Icon
Pages 4807-4828 | Received 11 Sep 2020, Accepted 14 Dec 2020, Published online: 05 Jan 2021

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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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Bing Tan & Songxiao Li. (2024) Modified inertial projection and contraction algorithms with non-monotonic step sizes for solving variational inequalities and their applications. Optimization 73:3, pages 793-832.
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Lateef Olakunle Jolaoso. (2022) An inertial projection and contraction method with a line search technique for variational inequality and fixed point problems. Optimization 71:12, pages 3485-3514.
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H. A. Abass, G. C. Ugwunnadi, O. K. Narain & V. Darvish. (2022) Inertial Extragradient Method for Solving Variational Inequality and Fixed Point Problems of a Bregman Demigeneralized Mapping in a Reflexive Banach Spaces. Numerical Functional Analysis and Optimization 43:8, pages 933-960.
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Articles from other publishers (13)

Yirga A. Belay, Habtu Zegeye, Oganeditse A. Boikanyo, Hagos H. Gidey & Dintle Kagiso. (2024) An inertial method for solving split equality quasimonotone Minty variational inequality problems in reflexive Banach spaces. Rendiconti del Circolo Matematico di Palermo Series 2.
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Shaotao Hu, Yuanheng Wang, Ping Jing & Qiao-Li Dong. (2023) Strong convergence theorem for a new Bregman extragradient method with a different line-search process for solving variational inequality problems in reflexive Banach spaces. Optimization Letters 18:3, pages 783-801.
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Lateef Olakunle Jolaoso, Kazeem Olalekan Aremu & Olawale Kazeem Oyewole. (2022) A self-adaptive inertial subgradient extragradient algorithm for solving bilevel equilibrium problems. Rendiconti del Circolo Matematico di Palermo Series 2 72:7, pages 3637-3658.
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Yan Tang & Yeyu Zhang. (2023) A New Halpern-Type Bregman Projection Method for Solving Variational Inequality Problems in Reflexive Banach Space. Results in Mathematics 78:5.
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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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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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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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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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Lateef Olakunle Jolaoso & Maggie Aphane. (2022) A self-adaptive parallel subgradient extragradient method for finite family of pseudomonotone equilibrium and fixed point problems. Computational and Applied Mathematics 41:3.
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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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A. A. Mebawondu, L. O. Jolaoso, H. A. Abass, O. K Oyewole & K. O. Aremu. (2021) A STRONG CONVERGENCE HALPERN-TYPE INERTIAL ALGORITHM FOR SOLVING SYSTEM OF SPLIT VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS. Journal of Applied Analysis & Computation 11:6, pages 2762-2791.
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