Journal of Applied Mathematics
Volume 2012 (2012), Article ID 294718, 11 pages
http://dx.doi.org/10.1155/2012/294718
Research Article

Implicit Mann Type Iteration Method Involving Strictly Hemicontractive Mappings in Banach Spaces

Arif Rafiq1 and Shin Min Kang2

1Hajvery University, 43-52 Industrial Area, Gulberg-III, Lahore, Pakistan
2Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea

Received 20 April 2012; Accepted 2 May 2012

Academic Editor: Yonghong Yao

Copyright © 2012 Arif Rafiq and Shin Min Kang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We proved that the modified implicit Mann iteration process can be applied to approximate the fixed point of strictly hemicontractive mappings in smooth Banach spaces.