A NEW SPLITTING METHOD FOR MONOTONE INCLUSIONS

DOI: 10.18173/2354-1059.2024-0030

Abstract

In this paper, we propose a splitting method for finding a zero pointof the sum of two operators in Hilbert spaces. Our method is a modificationof the forward-backward algorithm by using the inertial effect. Under theimposed condition for parameters, weak convergence of the iterative sequenceis established. We also give some numerical experiments to demonstrate theefficiency of the proposed algorithm