Approximating common fixed point of three multivalued mappings satisfying condition (\(E\)) in hyperbolic spaces. (English) Zbl 1529.65007
Summary: 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.
MSC:
| 65J15 | Numerical solutions to equations with nonlinear operators |
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54C60 | Set-valued maps in general topology |
| 54E40 | Special maps on metric spaces |
Keywords:
weak \(w^2\)-stability; multivalued almost contraction mappings; multivalued mappings satisfying condition (\(E\)); strong convergence; \(\triangle\)-convergenceReferences:
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