Weak Convergence of Mann Iterative Algorithm for two Nonexpansive mappings

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 Hilb...

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Vydáno v:پژوهش‌های ریاضی Ročník 8; číslo 4; s. 198 - 214
Hlavní autoři: Sirous Moradi, Najmeh Mohitazar
Médium: Journal Article
Jazyk:perština
Vydáno: Kharazmi University 01.12.2022
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ISSN:2588-2546, 2588-2554
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Shrnutí: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.
ISSN:2588-2546
2588-2554