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Strong convergence theorems for generalized asymptotically quasi-nonexpansive mappings

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Abstract

The purpose of this paper is to prove strong convergences of a modified implicit iteration process to a common fixed point for a finite family of generalized asymptotically quasi-nonexpansive mappings. The results presented in this paper improve and extend Shahzad and Zegeye’s corresponding results (Shahzad and Zegeye in Appl. Math. Comput. 189:1058–1065, 2007)

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Authors and Affiliations

  1. College of Science, Civil Aviation University of China, Tianjin, 300300, People’s Republic of China

    Jing Zhao, Songnian He & Guangxuan Liu

Authors
  1. Jing Zhao
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  2. Songnian He
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  3. Guangxuan Liu
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Corresponding author

Correspondence to Jing Zhao.

Additional information

This research is supported by Tianjin Natural Science Foundation in China Grant (06YFJMJC12500).

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Zhao, J., He, S. & Liu, G. Strong convergence theorems for generalized asymptotically quasi-nonexpansive mappings. J. Appl. Math. Comput. 30, 53–64 (2009). https://doi.org/10.1007/s12190-008-0156-y

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  • DOI: https://doi.org/10.1007/s12190-008-0156-y

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