IJPAM: Volume 31, No. 2 (2006)

COMMON FIXED POINT THEOREMS FOR
A FAMALY OF MAPPINGS

Zeqing Liu$^1$, Yanling Han$^2$, Shin Min Kang$^3$
$^{1,2}$Department of Mathematics
Liaoning Normal University
P.O. Box 200, Dalian, Liaoning, 116029, P.R. CHINA
$^1$e-mail: zeqingliu@dl.cn
$^2$e-mail: yanlinghan@163.com
$^3$Department of Mathematics
Research Institute of Natural Science
Gyeongsang National University
#900, Gazwa-Dong, Chinju, 660-701, KOREA
e-mail: smkang@nongae.gsnu.ac.kr


Abstract.Common fixed point theorems for a family $H_{f,x}$ of mappings involving a densifying mapping in metric spaces are proved. The results presented in this paper generalize a few results in the literature.

Received: July 20, 2006

AMS Subject Classification: 54H25

Key Words and Phrases: common fixed point, family of mappings, densifying mapping

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 31
Issue: 2