Approximating Fixed Points of Total Asymptotically Nonexpansive Mappings
نویسندگان
چکیده
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 Cψ on a closed convex set K of the normed space E if there exists a continuous and increasing function ψ(t) defined on R+ such that ψ is positive on R+ \ {0}, ψ(0) = 0, limt→+∞ψ(t) =∞ and
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