Strong convergence of iterative algorithm for a new system of generalized \(H(\cdots,\cdot)-\eta\)-cocoercive operator inclusions in Banach spaces (Q2015723)
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scientific article; zbMATH DE number 6306988
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong convergence of iterative algorithm for a new system of generalized \(H(\cdots,\cdot)-\eta\)-cocoercive operator inclusions in Banach spaces |
scientific article; zbMATH DE number 6306988 |
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Strong convergence of iterative algorithm for a new system of generalized \(H(\cdots,\cdot)-\eta\)-cocoercive operator inclusions in Banach spaces (English)
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23 June 2014
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Summary: We introduce and study a new system of generalized \(H(\cdots,\cdot)-\eta\)-cocoercive operator inclusions in Banach spaces. Using the resolvent operator technique associated with \(H(\cdots,\cdot)-\eta\)-cocoercive operators, we suggest and analyze a new generalized algorithm of nonlinear set-valued variational inclusions and establish strong convergence of iterative sequences produced by the method. We highlight the applicability of our results by examples in function spaces.
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\(\eta\)-cocoercive operator
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set-valued variational inclusions
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strong convergence
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