Copyright © 2009 Erdal Karapınar. 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.
In this manuscript, a class of self-mappings on cone Banach spaces
which have at least one fixed point is considered. More precisely,
for a closed and convex subset of a cone Banach space with the
norm , if there exist , , and satisfies
for all , then has at least one Fixed point.