IJPAM: Volume 82, No. 2 (2013)

IMPLICIT MANN TYPE ITERATION METHOD INVOLVING
THREE STRICTLY 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 prove that the modified implicit Mann iteration process can be applied to approximate the common fixed point of three strictly hemicontractive mappings in smooth Banach spaces.

Received: October 18, 2012

AMS Subject Classification: 47H10, 47J25, 54H25

Key Words and Phrases: implicit Mann type iteration method, strictly hemicontractive mappings, smooth 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: 2013
Volume: 82
Issue: 2