International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 3, Pages 469-475
doi:10.1155/S0161171285000515

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

Abstract

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.