On the maximal monotonicity of the sum of a maximal monotone linear relation and the subdifferential operator of a sublinear function (Q2906478)
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scientific article; zbMATH DE number 6077523
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the maximal monotonicity of the sum of a maximal monotone linear relation and the subdifferential operator of a sublinear function |
scientific article; zbMATH DE number 6077523 |
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5 September 2012
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sum problem
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maximal monotone operator
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Rockafellar constraint qualification
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maximal monotone linear relation
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subdifferential operator
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0.95574224
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0.9450012
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0.94044155
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0.9390959
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0.9371605
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0.9271136
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0.92009443
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On the maximal monotonicity of the sum of a maximal monotone linear relation and the subdifferential operator of a sublinear function (English)
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This paper deals with a particular case of the famous open problem concerning the maximal monotonicity of the sum of two maximal monotone operators in arbitrary Banach spaces under Rockafellar's constraint qualification. More precisely, the authors prove the maximal monotonicity of the sum of a maximal monotone linear relation and the subdifferential operator of a sublinear function, provided that the domain of the first one intersects the interior of the domain of the other one.NEWLINENEWLINEFor the entire collection see [Zbl 1241.00017].
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