Existence theorems for monotone operators in reflexive Banach spaces (Q2458393)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence theorems for monotone operators in reflexive Banach spaces |
scientific article |
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Existence theorems for monotone operators in reflexive Banach spaces (English)
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31 October 2007
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The authors obtain an existence theorem for single-valued monotone operators in a reflexive Banach space. This theorem is used to prove a fixed point theorem for nonexpansive mappings in a Hilbert space and an existence theorem for maximal monotone operators in a Banach space. Some results for operators between two Banach spaces are extended to mappings from a Banach space into its dual, using the duality map.
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monotone operators
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existence of zeroes
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metric projection
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duality mapping
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fixed point
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nonexpansive mapping
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0.8509112596511841
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0.810028612613678
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0.8063246011734009
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0.8022627830505371
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