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Numerical Reckoning Fixed Points in $CAT(0)$ Spaces

Journal: Sahand Communications in Mathematical Analysis (Vol.12, No. 1)

Publication Date:

Authors : ; ; ;

Page : 97-111

Keywords : Suzuki generalized nonexpansive mapping; $CAT(0)$ space; iteration process; $Delta$-convergence; Strong convergence;

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Abstract

In this paper, first we use an example to show the efficiency of $M$ iteration process introduced by Ullah and Arshad [4] for approximating fixed points of Suzuki generalized nonexpansive mappings. Then by using $M$ iteration process, we prove some strong and $Delta -$convergence theorems for Suzuki generalized nonexpansive mappings in the setting of $CAT(0)$ Spaces. Our results are the extension, improvement and generalization of many known results in $CAT(0)$ spaces.

Last modified: 2019-04-28 14:10:01