On the probabilistic domain invariance (Q1608648)

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scientific article; zbMATH DE number 1777331
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English
On the probabilistic domain invariance
scientific article; zbMATH DE number 1777331

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    On the probabilistic domain invariance (English)
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    8 August 2002
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    The main results of this paper deal with the probabilistic version of the invariance of domain for a contractive field and the Schauder invertibility theorem. Further, as an application, the authors establish the stability of probabilistic open embeddings.
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    probabilistic metric space (PM-space)
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    Menger PM-space
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    probabilistic Banach space
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    domain invariance
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    linear operator
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    invertibility
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    open mapping
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    open embedding
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    contraction
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    fixed point
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