@Article{CMR-31-1,
author = {Yongquan, Liu and Weiping, Guo},
title = {Weak Convergence Theorems for Nonself Mappings},
journal = {Communications in Mathematical Research },
year = {2015},
volume = {31},
number = {1},
pages = {15--22},
abstract = {<p style="text-align: justify;">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 $F := F(T_1)
∩
F(T_2)&nbsp;≠&nbsp;∅$. 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.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2015.01.02},
url = {https://global-sci.com/article/81696/weak-convergence-theorems-for-nonself-mappings}
}