A self adaptive inertial algorithm for solving split variational inclusion and fixed point problems with applications

<p style='text-indent:20px;'>We propose a general iterative scheme with inertial term and self-adaptive stepsize for approximating common solution of Split Variational Inclusion Problem (SVIP) Fixed Point (FPP) quasi-nonexpansive mapping in real Hilbert spaces. We prove that our converges strongly to SVIP FPP mapping, which is also certain optimization problem related positive bounded linear operator. apply proposed algorithm the finding an equilibrium point minimal cost production model industrial electricity production. Numerical results are presented demonstrate efficiency comparison some other existing algorithms literature.</p>