Common fixed points of modified Picard-S iteration process involving two G-nonexpansive mapping in CAT(0) space with directed graph
Sabiya Khatoon, Izhar Uddin, Nuttapol Pakkaranang, Nopparat Wairojjana · Thai Journal of Mathematics · 2019
The aim of this paper is to bring and study the convergence behaviour of modified Picard -S iteration involving two $G$ - nonexpansive mappings in CAT(0) space with directed graph. We prove $\Delta$ and strong convergence theorems for modified Picard -S iteration process in CAT(0) space with a directed graph. We also construct a numerical example to validate our results and to ensure the better rate of convergence of the proposed method with modified Ishikawa iteration, modified S-iteration and Thianwan's new iteration.