Approximation of common fixed points for finite families of total asymptotically nonexpansive mappings (Q886169)
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scientific article; zbMATH DE number 5167507
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of common fixed points for finite families of total asymptotically nonexpansive mappings |
scientific article; zbMATH DE number 5167507 |
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Approximation of common fixed points for finite families of total asymptotically nonexpansive mappings (English)
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26 June 2007
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The main results of this paper are convergence theorems for approximating common fixed points of a finite family \(T_1,T_2,\dots,T_m\) of total asymptotically nonexpansive self-mappings by means of a multistep Mann type iterative scheme. It is also shown that all these results can be further extended to the case of total asymptotically non-self-mappings, using a corresponding projection type iterative scheme defined by a sunny nonexpansive retraction.
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Banach space
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asymptotically nonexpansive mappings
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common fixed point
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total asymptotically quasi-nonexpansive mappings
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multistep Mann type iterative scheme
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convergence theorem
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