Weak and Strong Convergence Results for the Modified Noor Iteration of Three Quasi-nonexpansive Multivalued Mappings in Hilbert Spaces

Abstract

In this paper, we present a new iterative scheme by using the modified Noor iteration with the inertial technical term for three quasi-nonexpansive multivalued mappings in a Hilbert space. We then obtain weak convergence theorem under suitable conditions. The strong convergence theorems are given by using CQ and shrinking projection methods with our modified iteration.
Some preliminary numerical experiments are tested to illustrate the advantage of the performance of our methods.