Zeros and mapping theorems for perturbations of \(m\)-accretive operators in Banach spaces (Q2485427)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zeros and mapping theorems for perturbations of \(m\)-accretive operators in Banach spaces |
scientific article |
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Zeros and mapping theorems for perturbations of \(m\)-accretive operators in Banach spaces (English)
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4 August 2005
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In a Banach space a multivalued \(m\)-accretive operator with a perturbation is studied. The perturbation is a single-valued bounded (not necessarily continuous) operator. Under some assumptions, some zero theorems for such operators are proved. From the zero theorems, many new mapping theorems for perturbations of \(m\)-accretive operators in Banach spaces are derived.
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\(M\)-accretive operator
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perturbation
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zero theorem
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mapping theorem
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Leray-Schauder degree theory
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