Commun. Math. Res., 31 (2015), pp. 15-22.
Published online: 2021-05
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Let $E$ be a real uniformly convex and smooth Banach space, and $K$ be a nonempty closed convex subset of $E$ with $P$ as a sunny nonexpansive retraction. Let $T_1, T_2 : K → E$ be two weakly inward nonself asymptotically nonexpansive mappings with respect to P with a sequence $\{k^{(i)}_n\} ⊂ [1, ∞) (i = 1, 2)$, and $F := F(T_1) ∩ F(T_2) ≠ ∅$. An iterative sequence for approximation common fixed points of the two nonself asymptotically nonexpansive mappings is discussed. If $E$ also has a Fréchet differentiable norm or its dual $E^∗$ has Kadec-Klee property, then weak convergence theorems are obtained.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.01.02}, url = {http://global-sci.org/intro/article_detail/cmr/18945.html} }Let $E$ be a real uniformly convex and smooth Banach space, and $K$ be a nonempty closed convex subset of $E$ with $P$ as a sunny nonexpansive retraction. Let $T_1, T_2 : K → E$ be two weakly inward nonself asymptotically nonexpansive mappings with respect to P with a sequence $\{k^{(i)}_n\} ⊂ [1, ∞) (i = 1, 2)$, and $F := F(T_1) ∩ F(T_2) ≠ ∅$. An iterative sequence for approximation common fixed points of the two nonself asymptotically nonexpansive mappings is discussed. If $E$ also has a Fréchet differentiable norm or its dual $E^∗$ has Kadec-Klee property, then weak convergence theorems are obtained.