A modified shrinking projection methods for numerical reckoning fixed points of G-nonexpansive mappings in Hilbert spaces with graphs
Hasanen Abuelmagd Hammad, Watcharaporn Cholamjiak, Damrongsak Yambangwai, Hemen Dutta · Miskolc mathematical notes/Mathematical notes · 2019
In this paper, we introduce four new iterative schemes by modifying the shrinking projection method with Ishikawa iteration and S-iteration.The strong convergence theorems are given for obtaining a common fixed point of two G-nonexpansive mappings in a Hilbert space with a directed graph.We also give some numerical experiments for supporting our main theorems and compare convergence rate between them.