Continuation theory for Mönch type perturbations of linear Fredholm maps of index zero (Q2778298)
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scientific article; zbMATH DE number 1719609
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuation theory for Mönch type perturbations of linear Fredholm maps of index zero |
scientific article; zbMATH DE number 1719609 |
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26 November 2002
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fixed point theorem
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multivalued maps
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coincidence theory
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linear Fredholm operator
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Mönch type nonlinear operator
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Continuation theory for Mönch type perturbations of linear Fredholm maps of index zero (English)
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Building on a fixed point theorem for multivalued maps due to \textit{R. P. Agarwal} and the author [Comp. Math. Appl. 41, 917-928 (2001; Zbl 0991.47044)], the author proves a coincidence theory for the inclusion \(Lx\in F(x)\), where \(L\) is a linear Fredholm operator of index \(0\), and \(F\) is a so-called Mönch type nonlinear operator.
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0.8247608542442322
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0.7725215554237366
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