Convergence of an Inertial Shadow Douglas-Rachford Splitting Algorithm for Monotone Inclusions
Jingjing Fan, Xiaolong Qin, Bing Tan · Numerical Functional Analysis and Optimization · 2021
An inertial shadow Douglas-Rachford splitting algorithm for finding zeros of the sum of monotone operators is proposed in Hilbert spaces. Moreover, a three-operator splitting algorithm for solving a class of monotone inclusion problems is also concerned. The weak convergence of the algorithms is investigated under mild assumptions. Some numerical experiments are implemented to illustrate our main convergence results.