Existence and convergence theorems by an iterative shrinking projection method of a strict pseudocontraction in Hilbert spaces (Q1789796)
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scientific article; zbMATH DE number 6950566
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and convergence theorems by an iterative shrinking projection method of a strict pseudocontraction in Hilbert spaces |
scientific article; zbMATH DE number 6950566 |
Statements
Existence and convergence theorems by an iterative shrinking projection method of a strict pseudocontraction in Hilbert spaces (English)
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10 October 2018
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Summary: The aim of this paper is to provide some existence theorems of a strict pseudocontraction by the way of a hybrid shrinking projection method, involving some necessary and sufficient conditions. The method allows us to obtain a strongly convergent iteration for finding some fixed points of a strict pseudocontraction in the framework of real Hilbert spaces. In addition, we also provide certain applications of the main theorems to confirm the existence of the zeros of an inverse strongly monotone operator along with its convergent results.
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existence theorems
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strict pseudocontraction
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hybrid shrinking projection method
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strong convergence
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fixed points
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strict pseudocontractions
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real Hilbert spaces
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