carpathian_2023_39_2_553_567_001

A self-adaptive forward-backward-forward algorithm for solving split variational inequalities


Yin, Tzu-Chien, Hussain, Nawab and Asiri, Asim


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carpathian_2023_39_2_553_567

In this paper, we consider an iterative approximation problem of split variational inequalities in Hilbert spaces. In order to solve this split problem, we construct an iterative algorithm which combines a forward-backward-forward method and a self-adaptive rule to update the step-sizes. We prove that the constructed algorithm converges strongly to a solution of the split variational inequalities under some mild assumptions.

 

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Author(s)

 Yin, Tzu-Chien, Asiri, Asim, Hussain, Nawab

DOI

https://doi.org/10.37193/CJM.2023.02.15