Article citationsMore>>

K. K. Tan and H. K. Xu, “Fixed Point Iteration Processes for Asymptotically Nonexpansive Mapping,” Proceedings of the American Mathematical Society, Vol. 122, No. 3, 1994, pp. 733-739. doi:10.1090/S0002-9939-1994-1203993-5

has been cited by the following article:

• 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.