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

 Araveeporn, Autcha, Kheawborisut, Araya and Atid, Kangtunyakarn

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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.


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 Araveeporn, Autcha,  Kheawborisut, Araya, Atid, Kangtunyakarn