Approximation of Common Fixed Points of Pointwise Asymptotic Nonexpansive Maps in a Hadamard Space | Zendy

Safeer Hussain Khan | Zendy; Hafiz Fukhar-ud-din | Zendy

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Approximation of Common Fixed Points of Pointwise Asymptotic Nonexpansive Maps in a Hadamard Space

Author(s) -

Safeer Hussain Khan,

Hafiz Fukhar-ud-din

Publication year - 2012

Publication title -

advances in pure mathematics

Language(s) - English

Resource type - Journals

eISSN - 2160-0368

pISSN - 2160-0384

DOI - 10.4236/apm.2012.26068

Subject(s) - mathematics , iterated function , pointwise , pointwise convergence , hadamard transform , convergence (economics) , type (biology) , weak convergence , fixed point , space (punctuation) , discrete mathematics , pure mathematics , mathematical analysis , ecology , approx , linguistics , philosophy , computer security , computer science , economics , asset (computer security) , biology , economic growth , operating system

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.

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