Fixed-Point Approximation of Operators Satisfying (HRSC)-condition in $CAT(0)$ Spaces

Abstract

In this paper, we have established strong and $\Delta$-convergence results for the SP$^*$-iteration process applied to mappings satisfying the (HRSC)-condition in $CAT(0)$ spaces. Furthermore, a numerical example is provided to show the superiority of our results over existing ones and to illustrate the faster convergence of the SP$^*$-iteration process compared to several well-known iterative schemes.

Keywords

• Fixed point
• iteration process
• mapping satisfying (HRSC) condition
• strong convergence
• $\Delta-$convergence
• $CAT(0)$ space

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