A modified extragradient algorithm for a certain class of split pseudo-monotone variational inequality problem

<p style='text-indent:20px;'>In this paper, we introduce and study a modified extragradient algorithm for approximating solutions of certain class split pseudo-monotone variational inequality problem in real Hilbert spaces. Using our proposed algorithm, established strong convergent result the aforementioned problem. Our is obtained without prior knowledge Lipschitz constant operator used with minimized number projections per iteration compared to other results on literature. Furthermore, numerical examples are given show performance advantage method as well comparing it related methods literature.</p>