IJPAM: Volume 78, No. 2 (2012)

IMPLICIT ITERATION SCHEME
FOR THREE HEMICONTRACTIVE MAPPINGS

Arif Rafiq$^1$, Shin Min Kang$^2$
$^1$Hajvery University
43-52, Industrial Area, Gulberg-III
Lahore, PAKISTAN
$^2$Department of Mathematics and RINS
Gyeongsang National University
Jinju, 660-701, KOREA


Abstract. The purpose of this paper is to characterize conditions for the convergence of the implicit iterative scheme to the common fixed point of three $\phi$-hemicontractive mappings in a nonempty convex subset of an arbitrary Banach space.

Received: May 5, 2012

AMS Subject Classification: 47J25

Key Words and Phrases: implicit iterative scheme, $\phi$-hemicontractive mappings, Banach spaces

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 2