Convergence Analysis of Two Demicontractive Operators

In this paper, first we introduce a new iterative scheme involving demicontractive mappings in Hilbert spaces which does not require prior knowledge of operator norm and, second, by using the proposed scheme, prove some strong convergence theorems. Finally, we give some numerical examples to illustr...

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Bibliographic Details
Published in:Communications in Mathematics and Applications 2019-01, Vol.10 (2), p.309
Main Authors: Janwised, Jiraporn, Tunchonnang, Chuanpit, Bunpatcharacharoen, Pheerachate, Akkasriworn, Naknimit
Format: Article
Language:English
Subjects:
Algorithms
Convergence
Hilbert space
Iterative methods
Mathematics
Online Access:Get full text
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Summary:In this paper, first we introduce a new iterative scheme involving demicontractive mappings in Hilbert spaces which does not require prior knowledge of operator norm and, second, by using the proposed scheme, prove some strong convergence theorems. Finally, we give some numerical examples to illustrate our main result.
ISSN:0976-5905
0975-8607
DOI:10.26713/cma.v10i2.1084