Fixed point approximation of modified k-iteration method in $\operatorname{CAT(\kappa)}$ space

Authors

  • Samir Dashputre
  • Kavita Sakure
  • Kailash Kumar Dewangan

Keywords:

Strong convergence, $\Delta-$convergence, k-iteration method, $\operatorname{CAT(\kappa)}$ space, nearly asymptotically nonexpansive mapping.

Abstract

The aim of the paper is to  discuss  strong  and $\Delta-$convergence  of modified k-iteration method in $\operatorname{CAT(\kappa)}$ space, where $\kappa >0$, for nearly asymptotically nonexpansive mappings.  Our results generalizes the corresponding results of  Hussain {\it et al.} \cite{HussainUllahArshad2018} and Ullah {\it et al.} \cite{UllahIqbalArshad2018}.

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Published

2023-02-04

Issue

Vol. 17

Section

Vol. 17, No. 1, (2023)

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