IJPAM: Volume 44, No. 3 (2008)

CHARACTERIZATIONS OF COMMON FIXED POINTS FOR
A PAIR OF MAPPINGS IN 2-METRIC SPACES

Zeqing Liu$^1$, Lili Wang$^2$, Suk Jin Lee$^3$, Shin Min Kang$^4$
$^{1,2}$Department of Mathematics
Liaoning Normal University
P.O. Box 200, Dalian, Liaoning, 116029, P.R. CHINA
$^1$e-mail: [email protected]
$^2$e-mail: [email protected]
$^{3,4}$Department of Mathematics
The Research Institute of Natural Science
Gyeongsang National University
Jinju, 660-701, KOREA
$^{3}$e-mail: [email protected]
$^{4}$e-mail: [email protected]


Abstract.In this paper a few sufficient and necessary conditions to ensure the existence of common fixed points for a pair of arbitrary mappings in a complete 2-metric space are established, and a unique common fixed point theorem for two pairs of compatible mappings of type $(P)$ is obtained. Our results improve and generalize several previously known results.

Received: January 28, 2008

AMS Subject Classification: 54H25

Key Words and Phrases: compatible mappings of type $(P)$, common fixed point, 2-metric space

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 44
Issue: 3