Strong Convergence Theorems for a Finite Family of Quasi-nonexpansive and Asymptotically Quasi-nonexpansive Mappings in Banach spaces

Authors

  • Gurucharan Singh Saluja

DOI:

https://doi.org/10.11113/matematika.v27.n.302

Abstract

In this paper, we give the sufficient condition for strong convergence of finite step iteration sequences with errors to a common fixed point for a pair of a finite family of quasi-nonexpansive mappings and a finite family of asymptotically quasi-nonexpansive mappings in closed convex subset of a Banach spaces. The results presented in this paper generalize, improve unify the corresponding results in [1, 2, 4, 5, 9, 10]. Keywords: Quasi-nonexpansive mapping; asymptotically quasi nonexpansive map-ping; common fixed point; multi-step iteration scheme. 2010 Mathematics Subject Classification 47H09; 47H10.

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Published

01-11-2011

Issue

Volume 27 (December 2011)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Strong Convergence Theorems for a Finite Family of Quasi-nonexpansive and Asymptotically Quasi-nonexpansive Mappings in Banach spaces. (2011). MATEMATIKA, 27, 129-138. https://doi.org/10.11113/matematika.v27.n.302