A note on Picard iterates of nonexpansive mappings

Eun Suk Kim, W. A. Kirk · Annales Polonici Mathematici · 2001

Let $X$ be a Banach space, $C$ a closed subset of $X$, and $T:C\rightarrow C$ a nonexpansive mapping. It has recently been shown that if $X$ is reflexive and locally uniformly convex and if the fixed point set $F(T)$ of $T$ has nonempty interior then the

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