On Approximating Fixed Point in CAT(0) Spaces
Journal: Sahand Communications in Mathematical Analysis (Vol.18, No. 4)Publication Date: 2021-12-05
Authors : Chanchal Garodia; Izhar Uddin;
Page : 113-130
Keywords : CAT(0) space; Fixed point; $Delta$-convergence; Generalized $alpha$-nonexpansive mapping;
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.
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