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A connectedness property of maximal monotone operators and its application to approximation theory


Author: Libor Veselý
Journal: Proc. Amer. Math. Soc. 115 (1992), 663-667
MSC: Primary 47H05; Secondary 41A65
DOI: https://doi.org/10.1090/S0002-9939-1992-1095227-8
MathSciNet review: 1095227
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Abstract: We prove a connectedness property of a general maximal monotone operator on a Hilbert space. As a consequence we easily obtain the characterization of components of the set of discontinuity points for metric projections of closed sets in Hilbert spaces. We show that these components are pathwise connected, too.


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DOI: https://doi.org/10.1090/S0002-9939-1992-1095227-8
Article copyright: © Copyright 1992 American Mathematical Society

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