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

Samir Dashputre, Kavita Sakure, Kailash Kumar Dewangan

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}.

Keywords


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

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