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A Note on Locally Expansive and Locally Accretive Operators
Published online by Cambridge University Press: 20 November 2018
Abstract
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Let X be a Banach space, D an open subset of X and Y a complete metric space. Assume that Y is metrically convex. For 
closed, locally m-expansive and mapping open subsets of D onto open subsets of Y, is is shown that y ∊ T(D) if and only if there exists x0 ∊ D such that d(Tx0, y) ≤ d(Tx, y) for all x ≤ ∂D.
Keywords
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- Research Article
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- Copyright © Canadian Mathematical Society 1983
References
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72 (1979), 114–121.Google Scholar
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Schöneberg, R., On the Domain Invariance Theorem for Accretive Mappings, J. London Math. Soc.
24 (1981), 548–554.Google Scholar
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