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Austine Efut Ofem,Godwin Chidi Ugwunnadi,Ojen Kumar Narain,Jong Kyu Kim 경남대학교 기초과학연구소 2023 Nonlinear Functional Analysis and Applications Vol.28 No.3
In this article, we introduce the hyperbolic space version of a faster iterative algorithm. The proposed iterative algorithm is used to approximate the common fixed point of three multi-valued almost contraction mappings and three multi-valued mappings satisfying condition $(E)$ in hyperbolic spaces. The concepts weak $w^2$-stability involving three multi-valued almost contraction mappings are considered. Several strong and $\triangle$-convergence theorems of the suggested algorithm are proved in hyperbolic spaces. We provide an example to compare the performance of the proposed method with some well-known methods in the literature.