Modified shrinking projection methods in CAT(0) space

Abstract

The aim of this paper is to introduce three modified shrinking projection methods involving two G-nonexpansive map- pings. We also prove the convergence of our proposed iterations to obtain the common fixed points of G-nonexpansive mappings in the setting of CAT(0) space. In addition we construct a numerical example which supports our main results and show a comparison of new iterative schemes by using MATLAB2018a.

Keywords

• g-nonexpansive mapping
• fixed point
• cat(0) space
• directed graph.