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The range of a monotone operator - MaRDI portal

The range of a monotone operator (Q1916817)

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scientific article; zbMATH DE number 902534
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The range of a monotone operator
scientific article; zbMATH DE number 902534

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    The range of a monotone operator (English)
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    3 June 1997
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    The author's aim is to generalize a standard result on the convexity of the range of a maximal monotone operator from reflexive to nonreflexive space. To this end he generalizes the notion of a maximal monotone operator and proceeds with purely functional analytic arguments. In a second part the reflexive case is reconsidered using Brouwer's fixed point theorem.
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    convexity of the range of a maximal monotone maximal monotone operator
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    Brouwer's fixed point theorem
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