On set-valued relaxed accretive mappings and nonlinear variational inclusions with \(H_h\)-strongly monotone mappings (Q2850035)
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scientific article; zbMATH DE number 6212291
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On set-valued relaxed accretive mappings and nonlinear variational inclusions with \(H_h\)-strongly monotone mappings |
scientific article; zbMATH DE number 6212291 |
Statements
26 September 2013
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set-valued relaxed accretive mappings
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set-valued relaxed pseudocontractive mappings
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set-valued \(H_h\)-strongly monotone mappings
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nonlinear variational inclusions
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nonlinear resolvent equations
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algorithms
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On set-valued relaxed accretive mappings and nonlinear variational inclusions with \(H_h\)-strongly monotone mappings (English)
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In this paper, the authors consider some new classes of nonlinear set-valued mappings (such as relaxed accretive, relaxed pseudocontractive) and discuss the single-valuedness of these types of mappings in Banach spaces. Then, some iterative algorithms (such as Mann iteration method with errors, implicit Mann iteration method, implicit iteration method) are applied to a nonlinear variational inclusion and to nonlinear resolvent equations in Hilbert spaces.
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