TITLE:
Common Fixed Point Iterations of Generalized Asymptotically Quasi-Nonexpansive Mappings in Hyperbolic Spaces
AUTHORS:
A. R. Khan, H. Fukhar-ud-din
KEYWORDS:
Hyperbolic Space, General Iterative Method, Generalized Asymptotically Quasi-Nonexpansive Mapping, Common Fixed Point, Strong Convergence
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.5,
April
25,
2014
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.