A VARIABLE METRIC INERTIAL FORWARD-REFLECTED-BACKWARD METHOD FOR SOLVING MONOTONE INCLUSIONS

DOI: 10.18173/2354-1059.2024-0001

Abstract

We propose a new method for finding a zero point of a suminvolving a Lipschitzian monotone operator and a maximally monotone operator,both acting on a real Hilbert space. The proposed method aims to extendforward-reflected-backward method by using inertial effect and variable metric.The weak convergence of the proposed method is proved under standardconditions