Approximating common Fixed points for four asymptotically quasi-nonexpansive mappings in CAT(0) spaces

Authors

  • G. S. Saluja

DOI:

https://doi.org/10.11113/matematika.v30.n.708

Abstract

The aim of this paper to study a three-step iterative algorithm for four asymptotically quasi-nonexpansive mappings in the framework of CAT(0) spaces (for definition, see page 2). Also we establish some strong convergence theorems for above said scheme and mappings by using semi-compactness and condition (GA) (see, definition 2) which is more general than condition (A) (see, definition 1). Our results improve and extend the corresponding results from the previous work. Keywords:Asymptotically quasi-nonexpansive mapping, three-step iteration scheme,common Fixed point, strong convergence, CAT(0) space. 2010 Mathematics Subject Classification: 54H25, 54E40.

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Published

01-12-2014

Issue

Volume 30 (December 2014)

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

Approximating common Fixed points for four asymptotically quasi-nonexpansive mappings in CAT(0) spaces. (2014). MATEMATIKA, 30, 169-183. https://doi.org/10.11113/matematika.v30.n.708