Most maximally monotone operators have a unique zero and a super-regular resolvent (Q393212)
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scientific article; zbMATH DE number 6246147
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Most maximally monotone operators have a unique zero and a super-regular resolvent |
scientific article; zbMATH DE number 6246147 |
Statements
Most maximally monotone operators have a unique zero and a super-regular resolvent (English)
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16 January 2014
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By applying the Baire Category Theorem to the space of nonexpansive mappings, the author proves that, in a Hilbert space, most resolvents are super-regular, most maximally monotone operators have a unique zero, and the set of strongly monotone mappings is of the first category, although each strongly monotone operator has a unique zero.
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asymptotic regularity
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Baire category
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fixed point
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graphical convergence
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maximally monotone operator
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nonexpansive mapping
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resolvent
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reflected resolvent
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super-regularity
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zeros of monotone operator
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weakly contractive mapping
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0.84451914
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0.83469224
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0.8330939
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