Convergence of inexact iterative schemes for nonexpansive set-valued mappings (Q963595)
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scientific article; zbMATH DE number 5692335
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of inexact iterative schemes for nonexpansive set-valued mappings |
scientific article; zbMATH DE number 5692335 |
Statements
Convergence of inexact iterative schemes for nonexpansive set-valued mappings (English)
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13 April 2010
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The main results of the paper (Theorem 2.1 and Theorem 3.1) show that, under some appropriate conditions, for a set-valued contraction mapping (a set-valued nonexpansive mapping, respectively), there exists a convergent trajectory of the nonstationary dynamical system induced by a sequence \(\{T_i\}\) of approximants of \(T\).
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complete metric space
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set-valued contraction
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set-valued nonexpansive mapping
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fixed point
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dynamical system
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trajectory
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