Extension of the Leray-Schauder degree for abstract Hammerstein type mappings (Q870104)
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scientific article; zbMATH DE number 5132876
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extension of the Leray-Schauder degree for abstract Hammerstein type mappings |
scientific article; zbMATH DE number 5132876 |
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Extension of the Leray-Schauder degree for abstract Hammerstein type mappings (English)
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12 March 2007
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A new extension of the classical Leray-Schauder topological degree in a real separable reflexive Banach space is introduced. The new class of mappings for which the degree is constructed is obtained essentially by replacing the compact perturbation by a composition of mappings of monotone type. Applications of the new degree to the solvability of abstract Hammerstein type equations and to variational inequalities are briefly considered.
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topological degree
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monotone operator
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abstract Hammerstein type equation
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