A characterization between fixed point properties of weak nonexpansive semigroups and the existence of a left invariant mean on the space of weakly almost periodic functions
Abstract
In this paper, we shall introduce a characterization between new fixed point theorems for weak nonexpansive semi-topological semigroups on a locally convex space and the presence of a left invariant mean on weakly almost periodic functions. Our outcomes expand the results of Lau and Zhang [13, 14] and Lau [15].
Copyright © 2017 Ahmed H. Soliman, M. A. Barakat. 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. H. Soliman, M. A. Barakat, A characterization between fixed point properties of weak nonexpansive semigroups and the existence of a left invariant mean on the space of weakly almost periodic functions, Adv. Fixed Point Theory 7 (2017), 172–182.
BibTeX
@article{Soliman2017,
author = {Soliman, Ahmed H. and Barakat, M. A.},
title = {A characterization between fixed point properties of weak nonexpansive semigroups and the existence of a left invariant mean on the space of weakly almost periodic functions},
journal = {Adv. Fixed Point Theory},
volume = {7},
year = {2017},
pages = {172--182},
doi = {}
}