An abstract point of view on iterative approximation of fixed points of nonself operators (Q2925027)
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scientific article; zbMATH DE number 6359051
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An abstract point of view on iterative approximation of fixed points of nonself operators |
scientific article; zbMATH DE number 6359051 |
Statements
20 October 2014
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fixed point
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iterative scheme
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nonself operator
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admissible perturbation
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weakly Picard operator
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retractible operator
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An abstract point of view on iterative approximation of fixed points of nonself operators (English)
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Based on the weakly Picard operator technique and using the concept of admissible perturbation, in the present paper the authors study different iterative schemes for nonself operators in ordered \(L\)-spaces, from the following point of view: {\parindent=4mm \begin{itemize}\item[-] data dependence, \item[-] stability of the iterative procedure, \item[-] Gronwall type lemmas, \item[-] comparison lemmas.NEWLINENEWLINE\end{itemize}}
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