On Approximating Fixed Point in CAT(۰) Spaces

In this paper, we obtain a new modified iteration process in the setting of CAT(۰) spaces involving generalized $\alpha$-nonexpansive mapping. Weprove strong and $\Delta$ convergence results for approximating fixed point via newly defined iteration process. Further, wereconfirm our results by non trivial example and tables.

کلیدواژه ها:

CAT(۰) space ، Fixed point ، $\Delta$-convergence ، Generalized $\alpha$-nonexpansive mapping