Convergence rates of the modified forward reflected backward splitting algorithm in Banach spaces

Abstract

Consider the problem of minimizing the sum of two convex functions, one being smooth and the other non-smooth in Banach space. In this paper, we introduce a non-traditional forward-backward splitting method for solving such minimization problem. We establish different convergence estimates under different stepsize assumptions.

Keywords

• convergence rate
• forward-backward splitting algorithm
• banach spaces