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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 71, 2022 - Issue 13
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Research Article

A Bregman subgradient extragradient method with self-adaptive technique for solving variational inequalities in reflexive Banach spaces

L. O. Jolaosoa Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria, South AfricaCorrespondence[email protected]
[email protected]
ORCID Iconhttps://orcid.org/0000-0002-4838-7465View further author information
ORCID Icon,
O.K. Oyewoleb School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa;c DST-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), Johannesburg, South AfricaView further author information
&
K.O. Aremua Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria, South Africa;d Department of Mathematics, Usmanu Danfodiyo University Sokoto, Sokoto, Sokoto State, NigeriaView further author information
Pages 3835-3860 | Received 24 Oct 2020, Accepted 16 Apr 2021, Published online: 13 May 2021

Citations (7)

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Read on this site (2)

O.K. Oyewole. (2023) New subgradient extragradient algorithm for solving variational inequalities in Hadamard manifold. Optimization 0:0, pages 1-23.
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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 (5)

Olawale K. Oyewole & Simeon Reich. (2024) Two subgradient extragradient methods based on the golden ratio technique for solving variational inequality problems. Numerical Algorithms.
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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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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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O. K. Oyewole, L. O. Jolaoso, K. O. Aremu & M. Aphane. (2022) On the existence and approximation of solutions of generalized equilibrium problem on Hadamard manifolds. Journal of Inequalities and Applications 2022:1.
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O. K. Oyewole, L. O. Jolaoso, K. O. Aremu & M. O. Olayiwola. (2022) Inertial self-adaptive Bregman projection method for finite family of variational inequality problems in reflexive Banach spaces. Computational and Applied Mathematics 41:6.
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