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A new system of generalized nonlinear quasi-variational-like inclusions with \(A\)-monotone operators in Banach spaces - MaRDI portal

A new system of generalized nonlinear quasi-variational-like inclusions with \(A\)-monotone operators in Banach spaces (Q1005998)

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scientific article; zbMATH DE number 5529459
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English
A new system of generalized nonlinear quasi-variational-like inclusions with \(A\)-monotone operators in Banach spaces
scientific article; zbMATH DE number 5529459

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    A new system of generalized nonlinear quasi-variational-like inclusions with \(A\)-monotone operators in Banach spaces (English)
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    17 March 2009
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    The authors study some properties of \(A\)-monotone operators in Banach space. The notion of proximal mapping associated with \(A\)-monotone operators is given and its Lipschitz continuity is shown. Furthermore a new system of generalized nonlinear quasivariational-like inclusions with \(A\)-monotone operators in Banach spaces is considered and a iterative solution algorithm is constructed.
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    \(A\)-monotone
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    proximal mapping
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    iterative algorithm
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    system of generalized nonlinear quasi-variational-like inclusions
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