Convergence Theorems for Common Fixed Points of Two G-Nonexpansive Mappings in a Banach Space with a Directed Graph
Manakorn Wattanataweekul, Chalongchai Klanarong · Thai Journal of Mathematics · 2018
The purpose of this paper is to prove weak and strong convergence theorems of a new iterative scheme for common fixed points of two $G$-nonexpansive mappings in a Banach space endowed with a directed graph. Also, we give an example for numerical result of our main theorem and compare the rate of convergence of our iteration and Ishikawa iteration. Furthermore, we give some consequences of those theorems for two monotone nonexpansive mappings in a Banach space.