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

Veselý, Libor

doi:10.1090/S0002-9939-1992-1095227-8

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

Proc. Amer. Math. Soc. 115 (1992), 663-667

DOI: https://doi.org/10.1090/S0002-9939-1992-1095227-8

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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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