Common Fixed Point Iterations of Generalized Asymptotically Quasi-Nonexpansive Mappings in Hyperbolic Spaces ()
Abstract
We introduce a general
iterative method for a finite family of generalized asymptotically quasi- nonexpansive
mappings in a hyperbolic space and study its strong convergence. The new
iterative method includes multi-step iterative method of Khan et al. [1] as a
special case. Our results are new in hyperbolic spaces and generalize many
known results in Banach spaces and CAT(0) spaces, simultaneously.
Share and Cite:
Khan, A. and Fukhar-ud-din, H. (2014) Common Fixed Point Iterations of Generalized Asymptotically Quasi-Nonexpansive Mappings in Hyperbolic Spaces.
Journal of Applied Mathematics and Physics,
2, 170-175. doi:
10.4236/jamp.2014.25021.
Conflicts of Interest
The authors declare no conflicts of interest.
References
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