Year: 2015
Author: Yongquan Liu, Weiping Guo
Communications in Mathematical Research , Vol. 31 (2015), Iss. 1 : pp. 15–22
Abstract
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2015.01.02
Communications in Mathematical Research , Vol. 31 (2015), Iss. 1 : pp. 15–22
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: asymptotically nonexpansive nonself-mapping weak convergence uniformly convex Banach space common fixed point smooth Banach space.