An efficient iterative method for solving split variational inclusion problem with applications

<p style='text-indent:20px;'>A new strong convergence iterative method for solving a split variational inclusion problem involving bounded linear operator and two maximally monotone mappings is proposed in this article. The study considers an scheme comprised of inertial extrapolation step together with the Mann-type step. A theorem iterates generated by given under suitable conditions. In addition, methods inequality problems convex feasibility are derived from method. Applications Nash-equilibrium image restoration solved using to demonstrate implementation methods. Numerical comparisons some existing also presented.</p>