Weak and strong convergence of the Ishikawa iterative sequence to fixed points of Lipschitz pseudocontractive maps in Hilbert spaces
Abstract
In this paper, we study the weak and strong convergence of the Ishikawa iterative sequence to a fixed point of a Lipschitz pseudocontrative mapping in a Hilbert space. We do not require any compactness type assumptions either on the mapping or its domain. Furthermore, we do not need to compute for closed convex subsets, Cn, of the Hilbert space.
Copyright © 2015 Akuchu Besheng George. 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
A. B. George, Weak and strong convergence of the Ishikawa iterative sequence to fixed points of Lipschitz pseudocontractive maps in Hilbert spaces, Adv. Fixed Point Theory 5 (2015), 147–157.
BibTeX
@article{George2015,
author = {George, Akuchu Besheng},
title = {Weak and strong convergence of the Ishikawa iterative sequence to fixed points of Lipschitz pseudocontractive maps in Hilbert spaces},
journal = {Adv. Fixed Point Theory},
volume = {5},
year = {2015},
pages = {147--157},
doi = {}
}