IJPAM: Volume 62, No. 3 (2010)

COMMON FIXED POINT AND BEST SIMULTANEOUS
APPROXIMATIONS FOR CIRIC TYPE $(f,g)$-WEAK
CONTRACTION AND WEAK ASYMPTOTIC CONTRACTION

H.K. Pathak$^1$, Satyaj Tiwari$^2$
$^1$School of Studies in Mathematics
Pt. Ravishankar Shukla University
Raipur (C.G.), 492010, INDIA
e-mail: [email protected]
$^2$Department of Mathematics
Shri Shankaracharya Institute of
Professional Management and Technology
P.O. Sejabahar, Mujgahan, Raipur (C.G.), 490021, INDIA
e-mail: [email protected]


Abstract.We introduces a new conception of Ciric type $(f,g)$-weak contractive mapping and the existence of common fixed points is established for three mappings, where $T$ is either Ciric type $(f,g)-$weakly contractive mapping or weakly asymptotically $(f,g)$-nonexpansive mapping. As applications, the invariant best simultaneous approximation results are proved in this paper.

Received: June 19, 2010

AMS Subject Classification: 47H10, 54H25

Key Words and Phrases: common fixed point, best simultaneous approximation, Ciric type $(f,g)$-weakly contractive map, weak asymptotic $(f,g)$-contraction

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 62
Issue: 3