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On Approximating Fixed Point in CAT(0) Spaces

Journal: Sahand Communications in Mathematical Analysis (Vol.18, No. 4)

Publication Date:

Authors : ; ;

Page : 113-130

Keywords : CAT(0) space; Fixed point; $Delta$-convergence; Generalized $alpha$-nonexpansive mapping;

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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.

Last modified: 2022-07-31 17:25:04