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

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

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