IJPAM: Volume 84, No. 3 (2013)
WEAK AND STRONG CONVERGENCE OF FIXED POINTS
OF DEMICONTRACTIVE MAPPINGS IN
SMOOTH BANACH SPACES
OF DEMICONTRACTIVE MAPPINGS IN
SMOOTH BANACH SPACES
Shin Min Kang1, Arif Rafiq2, Nawab Hussain3
1Department of Mathematics and RINS
Gyeongsang National University
Jinju, 660-701, KOREA
2School of CS and Mathematics
Hajvery University
43-52 Industrial Area, Gulberg-III
Lahore, 54660, PAKISTAN
3Department of Mathematics
King Abdulaziz University
P.O. Box 80203, Jeddah 21589, SAUDI ARABIA
1Department of Mathematics and RINS
Gyeongsang National University
Jinju, 660-701, KOREA
2School of CS and Mathematics
Hajvery University
43-52 Industrial Area, Gulberg-III
Lahore, 54660, PAKISTAN
3Department of Mathematics
King Abdulaziz University
P.O. Box 80203, Jeddah 21589, SAUDI ARABIA
Abstract. In this paper, it is proved that the three-step iteration process with error terms in the sense of Xu associated with demicontractive mappings converge weakly to a fixed point of T. Also, if K is compact, then the convergence is strong.
Received: February 8, 2013
AMS Subject Classification: 47H10, 47J25, 54H25
Key Words and Phrases: 
-uniformly smooth Banach spaces, demicontractive mappings, three-step iteration process
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DOI: 10.12732/ijpam.v84i3.12 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 84
Issue: 3
