WEAK AND STRONG CONVERGENCE RESULTS OF FORWARD-BACKWARD SPLITTING METHODS FOR SOLVING INCLUSION PROBLEMS IN BANACH SPACES

摘要

The purposes of this paper is to study the problem of the sum of two accretive operators in the framework of uniformly convex and uniformly smooth Banach spaces. Base on a viscosity-like type forward-backward splitting method, we prove two convergence theorems for solving zero points of the sum of two accretive operators. Numerical examples are given to illustrate the convergence of the methods.