A note on the degree for maximal monotone mappings in finite dimensional spaces (Q1036835)
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scientific article; zbMATH DE number 5632826
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the degree for maximal monotone mappings in finite dimensional spaces |
scientific article; zbMATH DE number 5632826 |
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A note on the degree for maximal monotone mappings in finite dimensional spaces (English)
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13 November 2009
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The authors attempt to give an easy way to define the topological degree of a maximal monotone mapping as the limit of the classical Brouwer degrees of the Yosida approximations. Moreover, a homotopy property for the degree of a maximal monotone mapping and also for the degree of a subdifferential of a continuous convex function is obtained. Finally, they establish a product formula for the topological degree of the composition of a continuous mapping with a maximal monotone one.
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degree theory
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maximal monotone maps
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