IJPAM: Volume 64, No. 3 (2010)

COMMON FIXED POINTS FOR BANACH OPERATOR
PAIRS AND WEAKLY COMPATIBLE MAPS

O.O. Owojori$^1$, G. Akinbo$^2$, A.O. Bosede$^3$
$^{1,2}$Department of Mathematics
Obafemi Awolowo University
Ile-Ife, NIGERIA
$^1$e-mail: [email protected]
$^2$e-mail: [email protected]
$^3$Department of Mathematics
Lagos State University
Ojoo, NIGERIA
e-mail: [email protected]


Abstract.In this work, we combine the notions of Banach operator pairs with weak compatibility to obtain common fixed point results for four selfmaps of a metric space without requiring their continuity. Our results extend those of Pathak et al [14], Singh and Kumar [16] and others.

Received: May 29, 2009

AMS Subject Classification: 47H10, 54H25

Key Words and Phrases: common fixed point, coincidence point, weakly compatible maps, Banach operator pairs

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 64
Issue: 3