Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Copyright © 2009 S. Dhompongsa and H. Yingtaweesittikul. 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 consider the equivalence of the existence of fixed
points of single-valued mappings and multivalued mappings for some classes
of mappings by proving some equivalence theorems for the completeness
of metric spaces.