Open Access Research Article

Modified Hybrid Algorithm for a Family of Quasi--Asymptotically Nonexpansive Mappings

Yongchun Xu1, Xin Zhang2, Jinlong Kang2 and Yongfu Su2*

Author Affiliations

1 Department of Mathematics, Hebei North University, Zhangjiakou 075000, China

2 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China

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Fixed Point Theory and Applications 2010, 2010:170701 doi:10.1155/2010/170701

Published: 19 August 2010

Abstract

The purpose of this paper is to propose a modified hybrid projection algorithm and prove strong convergence theorems for a family of quasi--asymptotically nonexpansive mappings. The method of the proof is different from the original one. Our results improve and extend the corresponding results announced by Zhou et al. (2010), Kimura and Takahashi (2009), and some others.