Numerical Reckoning Fixed Points in $CAT(0)$ Spaces
Journal: Sahand Communications in Mathematical Analysis (Vol.12, No. 1)Publication Date: 2018-11-01
Authors : Kifayat Ullah; Hikmat Khan; Muhammad Arshad;
Page : 97-111
Keywords : Suzuki generalized nonexpansive mapping; $CAT(0)$ space; iteration process; $Delta$-convergence; Strong convergence;
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.
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