On Approximating Fixed Point in CAT(0) Spaces

Abstract

In this paper, we obtain a new modified iteration process in the setting of CAT(0) spaces involving generalized $\alpha$-nonexpansive mapping. We prove strong and $\Delta$ convergence results for approximating fixed point via newly defined iteration process. Further, we reconfirm our results by non trivial example and tables.

Keywords

• cat(0) space
• fixed point
• $delta$-convergence
• generalized $alpha$-nonexpansive mapping