@article {
author = {Bagheri Vakilabad, Ali},
title = {A Common Fixed Point Theorem Using an Iterative Method},
journal = {Sahand Communications in Mathematical Analysis},
volume = {17},
number = {1},
pages = {91-98},
year = {2020},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2019.71435.281},
abstract = {Let $ H$ be a Hilbert space and $C$ be a closed, convex and nonempty subset of $H$. Let $T:C \rightarrow H$ be a non-self and non-expansive mapping. V. Colao and G. Marino with particular choice of the sequenceÂ $\{\alpha_{n}\}$ in Krasonselskii-Mann algorithm, ${x}_{n+1}={\alpha}_{n}{x}_{n}+(1-{\alpha}_{n})T({x}_{n}),$ proved both weak and strong converging results. In this paper, we generalize their algorithm and result, imposing some conditions upon the set $C$ and finite many mappings from $C$ in to $H$, to obtain a converging sequence to a common fixed point for these non-self and non-expansive mappings.},
keywords = {Hilbert space,Nonexpansive mapping,Krasnoselskii-Mann iterative method,Inward condition},
url = {https://scma.maragheh.ac.ir/article_37370.html},
eprint = {https://scma.maragheh.ac.ir/article_37370_e9337f670d410e4fac3017fecc1697be.pdf}
}