Abstract:
We propose two iterative schemes for three G-nonexpansive mappings and present their
convergence analysis in the framework of a convex metric space endowed with a directed graph. Some
numerical examples are given to support the claim that the proposed iterative schemes converge faster
than all of Mann, Ishikawa and Noor iteration schemes. Our results generalize and extend several known
results to the setup of a convex metric space endowed with a directed graphic structure, including the
results in [S. Suantai, M. Donganont, W. Cholamjiak, Hybrid methods for a countable family of G-
nonexpansive mappings in Hilbert spaces endowed with graphs, Mathematics (2019)].
