The Modified SP and Noor Iterations with Shrinking Projection Methods for Three G-Nonexpansive Mappings in Hilbert Spaces with Graphs

Kunrada Kankam, Supitcha Pheetarakorn, WatcharapornW. Cholamjiak

Abstract

In this work, we propose two new iterative schemes by modifying the shrinking projection method with Noor and SP iterations. The strong convergence theorems are given for obtaining a common fixed point of three $G$-nonexpansive mappings in a Hilbert space with a directed graph under some suitable conditions. Finally, we give some numerical examples for supporting our main theorems and compare the rate of convergence of some examples under the same conditions.