On asymptotically nonexpansive mappings with non-convex domains
Monther Rashed Alfuraidan, Mohamed A. Khamsi, Khairul Saleh · Fixed Point Theory · 2022
In this paper, we prove the existence of periodic points of asymptotically nonexpansive mappings defined on non-convex domains in uniformly convex Banach spaces. We also introduce the notion of firmly asymptotically nonexpansive mappings and prove the existence of fixed points of such mappings with non-convex domains.