Approximating common fixed points of asymptotically quasi-nonexpansive mappings by a k+1-step iterative scheme with error terms

@article{Xiao2010ApproximatingCF,
  title={Approximating common fixed points of asymptotically quasi-nonexpansive mappings by a k+1-step iterative scheme with error terms},
  author={Jian-Zhong Xiao and Jing Sun and Xuan Huang},
  journal={J. Computational Applied Mathematics},
  year={2010},
  volume={233},
  pages={2062-2070}
}
In this paper a k+ 1-step iterative scheme with error terms involving k+ 1 asymptotically quasi-nonexpansive mappings is studied. In usual Banach spaces, some sufficient and necessary conditions are given for the iterative scheme to approximate a common fixed point. In uniformly convex Banach spaces, power equicontinuity for a mapping is introduced and a series of new convergence theorems are established. Several known results in the current literature are extended and refined. © 2009 Elsevier… CONTINUE READING

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