Common Fixed Point Iterations of Generalized Asymptotically Quasi-Nonexpansive Mappings in Hyperbolic Spaces
Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=45298#.VL37pSzQrzE Author(s) R. Khan * , H. Fukhar-ud-din Affiliation(s) Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia . 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 Cite this paper Khan, A. and Fukhar-ud-din, H. (2014) Common Fixed Point Iterations of Generalized Asymptoticall...