International Journal of Mathematics and Mathematical Sciences
Volume 32 (2002), Issue 3, Pages 183-188
doi:10.1155/S0161171202204093
Fixed point theorems for densifying mappings and compact mappings
Zeqing Liu1
, Li Wang1
, Shin Min Kang3
and Yong Soo Kim3
1Department of Mathematics, Liaoning Normal University, P.O. Box 200, Liaoning, Dalian 116029, China
3Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea
Abstract
The purpose of this note is to establish fixed point theorems for densifying mappings and compact mappings which are contractive in metric spaces and to investigate the existence of fixed points for a family of mappings in bounded metric spaces. The results of this note generalize the results of Bailey (1966) and Liu (1994).