Approximation to minimum-norm common fixed point of a semigroup of nonexpansive operators (Q2862106)
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scientific article; zbMATH DE number 6226810
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation to minimum-norm common fixed point of a semigroup of nonexpansive operators |
scientific article; zbMATH DE number 6226810 |
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14 November 2013
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nonexpansive operators
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semigroup
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Hilbert space
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common fixed points
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Approximation to minimum-norm common fixed point of a semigroup of nonexpansive operators (English)
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Let \(\Gamma\) be a family of uniformly asymptotically regular semigroups of nonexpansive operators on a nonempty closed convex subset of an Hilbert space. The authors present a new iterative algorithm and prove that, if the set of the common fixed points of all the operators of \(\Gamma\) is nonempty, this algorithm under suitable light assumptions on the parameters converges to the minimum-norm common fixed point of these operators.
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