Convergence and Data Dependence Results of an Iteration Process in a Hyperbolic Space

Abstract

In this paper, we prove the strong and delta-convergence theorems of an
iteration process of Khan et al. (J. Appl. Math. Comput. 35: 607-616,
2011) for three finite families of total asymptotically nonexpansive nonself
mappings in a hyperbolic space. Moreover we obtain the data dependence
result of this iteration for contractive-like mappings under some suitable
conditions. Also we present some examples to support the results proved
herein. Our results extend and improve some recent results announced in
the current literature.