International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 3, Pages 469-475

Contractive mappings on a premetric space

C. Y. Shen and A. Sound

Mathematics and Statistics Department, Simon Fraser University, Burnaby V5A 1S6, B.C., Canada

Received 30 April 1984

Copyright © 1985 C. Y. Shen and A. Sound. 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 paper, we study the fixed point property of certain types of contractive mappings defined on a premetric space. The applications of these results to topological vector spaces and to metric spaces are also discussed.