Convergence Theorems for Total Asymptotically Nonexpansive Mappings in Hyperbolic Spaces

Abstract

The purpose of this paper is to introduce the concept of total asymptotically nonexpansive mappings and to prove some $\Delta$-convergence theorems of the iteration process for this kind of mappings in the setting of hyperbolic spaces. The results presented in the paper extend and improve some recent results announced in the current literature.