New inertial relaxed CQ regularization methods for the multiple-sets splitting feasibility problem

The multiple-sets splitting feasibility problem (MSSFP) is the extension of splitting feasibility problem. This problem has been widely used in visual neural network and fuzzy image processing system. In this article, we offer the regularization methods of the inertial relaxed CQ algorithm, where the choice of parameters is not related to the operator norm. Under certain conditions, the weak convergence of the sequences is proved. In addition, the convergence of the algorithm is verified by numerical experiments.