\( \Delta \)-convergence and strong convergence for asymptotically nonexpansive mappings on a \(\mathrm{CAT}(0)\) space. (English) Zbl 1536.65057
Summary: In this paper, we give the \(\Delta\) and strong convergence theorems of the new three-step iteration for asymptotically nonexpansive mappings on a \(\mathrm{CAT}(0)\) space. Our results extend and improve the corresponding recent results announced by many authors in the literature.
MSC:
| 65J15 | Numerical solutions to equations with nonlinear operators |
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E40 | Special maps on metric spaces |
Keywords:
\(CAT(0)\) space; asymptotically nonexpansive mapping; \( \Delta \)-convergence; strong convergence; fixed pointReferences:
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