A fixed point theorem for monotone asyptotic nonexpansive mappings
Functional Analysis
2016-10-04 v1
Abstract
Let C be a nonempty, bounded, closed, and convex subset of a Banach space X and be a monotone asymptotic nonexpansive mapping. In this paper, we investigate the existence of fixed points of T. In particular, we establish an analogue to the original Goebel and Kirk's fixed point theorem for asymptotic nonexpansive mappings.
Cite
@article{arxiv.1606.06469,
title = {A fixed point theorem for monotone asyptotic nonexpansive mappings},
author = {Monther Rashed Alfuraidan and Mohamed Amine Khamsi},
journal= {arXiv preprint arXiv:1606.06469},
year = {2016}
}