AN INERTIAL NEW ITERATION PROCESS IN HILBERT SPACES

Abstract

In this paper, we prove some convergence theorems for generalized (α, β)-nonexpansive mapping in Hilbert space via new inertial iteration process. Our results generalized and extended the previous result of Iner PNSP (introduced by Samir et al. [11]).Also, we provide an example that numerically compares our new inertial iteration processwith existing iteration processes Iner PNSP.