Inertial Tseng's extragradient algorithm for solving split equality common variational and fixed point problems

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In this paper, we introduce and study a new split equality common variational and fixed point problems for a finite family of mappings in the setting of Hilbert spaces. In addition, we propose an inertial Tseng's extragradient method with viscosity for solving the problem and study its convergence properties under some suitable conditions. The results in this paper improve and unify many relevant discoveries in the literature. Finally, we present some numerical examples to show the performance of our method.