International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 7, Pages 391-397
doi:10.1155/S0161171201007037
On characterizations of fixed points
Zeqing Liu1
, Lili Zhang1
and Shin Min Kang3
1Department of Mathematics, Liaoning Normal University, Liaoning, Dalian 116029, China
3Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea
Abstract
We give some necessary and sufficient conditions for the existence of fixed points of a family of self mappings of a metric space and we establish an equivalent condition for the existence of fixed points of a continuous compact mapping of a metric space.