System of nonlinear set-valued variational inclusions involving a finite family of \(H(\cdot, \cdot)\)-accretive operators in Banach spaces (Q1760735)
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scientific article; zbMATH DE number 6106245
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | System of nonlinear set-valued variational inclusions involving a finite family of \(H(\cdot, \cdot)\)-accretive operators in Banach spaces |
scientific article; zbMATH DE number 6106245 |
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System of nonlinear set-valued variational inclusions involving a finite family of \(H(\cdot, \cdot)\)-accretive operators in Banach spaces (English)
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15 November 2012
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Summary: We study a new system of nonlinear set-valued variational inclusions involving a finite family of \(H(\cdot, \cdot)\)-accretive operators in Banach spaces. By using the resolvent operator technique associated with a finite family of \(H(\cdot, \cdot)\)-accretive operators, we prove the existence of the solution for the system of nonlinear set-valued variational inclusions. Moreover, we introduce a new iterative scheme and prove a strong convergence theorem for finding solutions for this system.
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nonlinear set-valued variational inclusions
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finite family of \(H(\cdot, \cdot)\)-accretive operators
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resolvent operator technique
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