Noor iterative approximation for solutions to variational inclusions with \(k\)-subaccretive type mappings in reflexive Banach spaces (Q2839621)
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scientific article; zbMATH DE number 6187208
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Noor iterative approximation for solutions to variational inclusions with \(k\)-subaccretive type mappings in reflexive Banach spaces |
scientific article; zbMATH DE number 6187208 |
Statements
11 July 2013
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variational inclusion
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\(k\)-subaccretive operator
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\(T\)-stability
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convergence rate estimate
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Noor three-step iterative sequences with errors
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Noor iterative approximation for solutions to variational inclusions with \(k\)-subaccretive type mappings in reflexive Banach spaces (English)
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We introduce and study a new class of nonlinear variational inclusion problems with Lipschitz \(k\)-subaccretive type mappings in real reflexive Banach spaces. The existence and uniqueness of such solutions are proved and the convergence and stability of Noor iterative sequences with errors are also discussed. Furthermore, general convergence rate estimates are given in our results, which essentially improve and extend the corresponding results of several other papers.
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