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 w2-stability involving three multi-valued almost contraction mappings are considered. Several strong and Δ-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.
- Weak w-stability
- multivalued almost contraction mappings
- multivalued mappings satisfying condition (E)
- strong and Δ-convergence