Common Fixed Point Iterations of Generalized Asymptotically Quasi-Nonexpansive Mappings in Hyperbolic Spaces

A. R. Khan^*, H. Fukhar-ud-din

Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia.

DOI: 10.4236/jamp.2014.25021                

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.

Keywords

Hyperbolic Space, General Iterative Method, Generalized Asymptotically Quasi-Nonexpansive Mapping, Common Fixed Point, Strong Convergence

Conflicts of Interest

The authors declare no conflicts of interest.

References

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