Abstract and Applied Analysis
Volume 2005 (2005), Issue 2, Pages 173-183
An example for a one-parameter nonexpansive semigroup
Department of Mathematics, Kyushu Institute of Technology, 1-1 Sensui-cho, Tobata-ku, Kitakyushu 804-8550, Japan
Received 20 December 2003
Copyright © 2005 Tomonari Suzuki. 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.
We give one example for a one-parameter nonexpansive semigroup.
This example shows that there exists a one-parameter nonexpansive
semigroup on a closed convex subset of a Banach space such that
for some , which is not a common fixed point of .