Endpoints of generalized Berinde nonexpansive mappings in hyperbolic spaces
Bancha Panyanak · Fixed Point Theory · 2023
In this paper, we introduce the notion of generalized Berinde nonexpansive mappings in metric spaces and show that it is weaker than the notion of Berinde nonexpansive mappings and stronger than the notion of semi-nonexpansive mappings.We also obtain the semiclosed principle, an endpoint theorem, and a common endpoint theorem for generalized Berinde nonexpansive mappings.Strong and ∆-convergence theorems of the Ishikawa iteration process for semi-nonexpansive mappings are also discussed.