TITLE:
Approximation of Common Fixed Points of Pointwise Asymptotic Nonexpansive Maps in a Hadamard Space
AUTHORS:
Safeer Hussain Khan, H. Fukhar-ud-din
KEYWORDS:
Pointwise Asymptotic Nonexpansive Map; Common Fixed Point; Ishikawa Iteration Process; Strong Convergence; Weak Convergence
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.6,
November
29,
2012
ABSTRACT: We establish weak and strong convergence of Ishikawa type iterates of two pointwise asymptotic nonexpansive maps in a Hadamard space. For weak and strong convergence results, we drop “rate of convergence condition”, namely (Cn(x)-1) to answer in the affirma-tive to the open question posed by Tan and Xu [1] even in a general setup.