Approximating Fixed Points of Total Asymptotically Nonexpansive Mappings

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