Department of Mathematics, Kyushu Institute of Technology, Tobata, Kitakyushu 804-8550, Japan
Copyright © 2009 Yusuke Enjouji et al. 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 order to observe the condition of Kannan mappings,
we prove a generalization of Kannan's fixed point theorem.
Our theorem involves constants and
we obtain the best constants to ensure a fixed point.