Fixed Point Theory and Applications (Jan 2010)

Modified Hybrid Algorithm for a Family of Quasi-<inline-formula> <graphic file="1687-1812-2010-170701-i1.gif"/></inline-formula>-Asymptotically Nonexpansive Mappings

  • Zhang Xin,
  • Kang Jinlong,
  • Su Yongfu,
  • Xu Yongchun

Journal volume & issue
Vol. 2010, no. 1
p. 170701

Abstract

Read online

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.