A fixed point method for solving a split feasibility problem in Hilbert spaces (Q1736985)
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scientific article; zbMATH DE number 7042591
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fixed point method for solving a split feasibility problem in Hilbert spaces |
scientific article; zbMATH DE number 7042591 |
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A fixed point method for solving a split feasibility problem in Hilbert spaces (English)
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26 March 2019
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The scope of this note is to propose a new algorithm for concomitantly determining a fixed point of a nonexpansive mapping and solving a split feasibility problem in infinite-dimensional Hilbert spaces. The iterates of this algorithm converge strongly to a common solution of the mentioned problems. As a special case, an algorithm for solving a split equality problem is presented, too.
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Hilbert space
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monotone mapping
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nonexpansive mapping
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split feasibility problem
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weak convergence
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strong convergence
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