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Weak Convergence of Mann Iterative Algorithm for two Nonexpansive mappings
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| Sirous Moradi1, Najmeh Mohitazar2 |
1- Lorestan University , sirousmoradi@gmail.com
2- Arak University |
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Abstract: (149 Views) |
| The mann fixed point algorithm play an importmant role in the approximation of fixed points of nonexpansive operators. In this paper, by considering new conditions, we prove the weak convergence of mann fixed point algorithm, for finding a common fixed point of two nonexpansive mappings in real Hilbert spaces. This results extend the privious results given by Kanzow and Shehu. Finally, we give an application of our results, by using the John von Neumann's method. |
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| Keywords: Weak convergence, nonexpansive mapping, Hilbert space, mann fixed point algorithm. |
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Full-Text [PDF 1951 kb]
(65 Downloads)
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Type of Study: S |
Subject:
alg
Received: 2020/10/8 | Revised: 2023/01/21 | Accepted: 2021/05/1 | Published: 2022/12/31 | ePublished: 2022/12/31
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