Sum theorems for maximally monotone operators of type (FPV) (Q2877686)
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scientific article; zbMATH DE number 6334046
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sum theorems for maximally monotone operators of type (FPV) |
scientific article; zbMATH DE number 6334046 |
Statements
25 August 2014
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constraint qualification
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convex function
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convex set
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Fitzpatrick function
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linear relation
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maximally monotone operator
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monotone operator
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operator of type (FPV)
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sum problem
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Sum theorems for maximally monotone operators of type (FPV) (English)
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In this paper, the authors partially answer the open problem whether the sum of two maximal monotone operators is still maximal monotone. Under the condition that one operator is of type (FVP), the maximal monotonicity of the sum is proved. The result extends some previous works.
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