Approximating common fixed points by a new faster iteration process. (English) Zbl 1498.47147
Summary: In this paper, we propose a three-step iteration process and show that this process converges faster than a number of existing iteration processes. We give a numerical example followed by graphs to validate our claim. We prove strong and weak convergence results for approximating common fixed points for two nonexpansive mappings. Again we reconfirm our results by examples and tables. Further, we provide some applications of the our iteration process.
MSC:
| 47J26 | Fixed-point iterations |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
Keywords:
common fixed point; strong convergence; weak convergence; contractive-like mappings; nonexpansive mappings; iteration processReferences:
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