A convergence theorem of the Picard iteration whose mapping has multiple fixed points
Abstract
In this paper, we give a sufficient condition for a self-mapping T on X which has multiple fixed points satisfying the Picard iteration {Tnx} converges to a fixed point of T for every starting point in a subset of X.
Copyright © 2015 Kazuki Seto, Daishi Kuroiwa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
K. Seto, D. Kuroiwa, A convergence theorem of the Picard iteration whose mapping has multiple fixed points, Adv. Fixed Point Theory 5 (2015), 387–395.
BibTeX
@article{Seto2015,
author = {Seto, Kazuki and Kuroiwa, Daishi},
title = {A convergence theorem of the Picard iteration whose mapping has multiple fixed points},
journal = {Adv. Fixed Point Theory},
volume = {5},
year = {2015},
pages = {387--395},
doi = {}
}