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

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.

Keywords

• Suzuki generalized nonexpansive mapping, $CAT(0)$ space
• iteration process, $Delta$-convergence, Strong convergence