A note on Stević's iteration method

In the present paper, motivated by Stević's iteration method, we show the stability result of the following unified iterative scheme x n + 1 = t n T v n + ( 1 − t n ) x n + u n for a ϕ-strongly pseudocontractive selfmapping T. This stability result implies the stability of Stević's iterati...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2006-02, Vol.314 (1), p.382-389
Main Author: Tamura, Hiroko Manaka
Format: Article
Language:English
Subjects:
Convergence theorem
Das–Debata iteration
Exact sciences and technology
Finite differences and functional equations
Fixed point
Ishikawa iteration
Iterative scheme
Mann iteration
Mathematical analysis
Mathematics
Sciences and techniques of general use
Stability
Stević iteration
ϕ-Strongly pseudocontraction
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Summary:In the present paper, motivated by Stević's iteration method, we show the stability result of the following unified iterative scheme x n + 1 = t n T v n + ( 1 − t n ) x n + u n for a ϕ-strongly pseudocontractive selfmapping T. This stability result implies the stability of Stević's iteration scheme naturally.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2005.03.089