\(A\)-properness and fixed point theorems for dissipative type maps (Q5930053)
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scientific article; zbMATH DE number 1587336
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(A\)-properness and fixed point theorems for dissipative type maps |
scientific article; zbMATH DE number 1587336 |
Statements
\(A\)-properness and fixed point theorems for dissipative type maps (English)
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14 May 2002
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Summary: We obtain new \(A\)-properness results for demicontinuous, dissipative type mappings defined only on closed convex subset of a Banach space \(X\) with uniformly convex dual and which satisfy a property called weakly inward. The method relies on a new property of the duality mapping in such spaces. New fixed point results are obtained by utilizing a theory of fixed point index.
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\(A\)-properness
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demicontinuous, dissipative type mappings
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closed convex subset of a Banach space
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uniformly convex dual
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weakly inward
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duality mapping
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fixed point index
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