INERTIAL MODIFIED S-ITERATION PROCESS FOR SPLIT MONOTONE INCLUSION AND FIXED POINT PROBLEM IN REAL HILBERT SPACE

In this article, we present a modified S-iteration process that combines with inertial extrapolation to find a common solution to the split monotone inclusion problem and the fixed point problem in real Hilbert space. Our goal is to establish a strong convergence theorem for approximating a common solution. Under some mild conditions, the problem can be solved. We also provide a numerical example to show that our algorithm's acceleration works well.