## On Weak and Strong Convergence of an Explicit Iteration Process for a Total Asymptotically Quasi-I-Nonexpansive Mapping in Banach Space

- Hukmi KIZILTUNC, Yunus PURTAS
- 2015

Highly Influenced

@inproceedings{Alber2006ApproximatingFP, title={Approximating Fixed Points of Total Asymptotically Nonexpansive Mappings}, author={Ya. I. Alber and Charles E. Chidume and H. Zegeye}, year={2006} }

- Published 2006

The class of asymptotically nonexpansive maps was introduced by Goebel and Kirk [18] as a generalization of the class of nonexpansive maps. They proved that if K is a nonempty closed convex bounded subset of a real uniformly convex Banach space and T is an asymptotically nonexpansive self-mapping of K , then T has a fixed point. Alber and Guerre-Delabriere have studied in [3–5] weakly contractive mappings of the class Cψ . Definition 1.1. An operator T is called weakly contractive of the class… CONTINUE READING