Some fixed point theorems for countably 1-set contractive operators (Q2843774)

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scientific article; zbMATH DE number 6201359
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Some fixed point theorems for countably 1-set contractive operators
scientific article; zbMATH DE number 6201359

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    26 August 2013
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    fixed points
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    fixed point index
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    countably 1-set contractive operators
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    eigenvalues
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    Some fixed point theorems for countably 1-set contractive operators (English)
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    Taking cue from the fixed point index theory for countably condensing operators, the authors introduce the concept of fixed point index for countably \(1\)-set contractive operators. Some fixed point theorems for this kind of operators are deduced, which lead to two eigenvalue results for countably \(k\)-set contractive operators.
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