Abstract and Applied Analysis
Volume 2011 (2011), Article ID 142626, 13 pages
http://dx.doi.org/10.1155/2011/142626
Research Article

Hybrid Projection Algorithms for Asymptotically Strict Quasi-ϕ-Pseudocontractions

Xiaolong Qin,1,2 Tianze Wang,1 and Sun Young Cho3

1School of Mathematics and Information Sciences, North China University of Water Conservancy and Electric Power, Zhengzhou 450011, China
2Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China
3Department of Mathematics, Gyeongsang National University, Jinju 660-701, Republic of Korea

Received 27 November 2010; Revised 5 March 2011; Accepted 31 March 2011

Academic Editor: Paul Eloe

Copyright © 2011 Xiaolong Qin et al. 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

A new nonlinear mapping is introduced. Hybrid projection algorithms are considered for the class of new nonlinear mappings. Strong convergence theorems are established in a real Banach space.