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  4. Approximating G-variational inequality problem by G-subgradient extragradient method in Hilbert space endowed with graphs
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Approximating G-variational inequality problem by G-subgradient extragradient method in Hilbert space endowed with graphs

Author(s)
Araveeporn, Autcha
Kheawborisut, Araya
Kangtunyakarn, Atid
Date Issued
January 1, 2023
Type
Article
DOI
10.37193/CJM.2023.02.02
Abstract
In this article, we introduce G-subgradient extragradient method for solving the G- variational inequality problem in Hilbert space endowed with a direct graph. Utilizing our mathematical tools, weak and strong convergence theorem are established for the proposed algorithm. In addition, we provide numerical experiments to illustrate the convergence behavior of our proposed algorithm.
Citation
Carpathian Journal of Mathematics, 39(2), 359-369, 2023
Subjects

Fixed point problem

G-subgradient extragr...

G-variational inequal...

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