Local Boundedness Properties for Generalized Monotone Operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 English Publisher:Banach Press LLCJournal:Journal of Convex Analysis, volume 19, pages 49-61 (issn: 0944-6532, eissn: 2363-6394,

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Authors: Alizadeh, Mohammad Hossein; Hadjisavvas, Nicolas; Roohi, Mehdi;

doi: 10.68381/jca19003

Local Boundedness Properties for Generalized Monotone Operators

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Abstract

We show that a well-known property of monotone operators, namely local boundedness in the interior of their domain, remains valid for the larger class of premonotone maps. This generalizes a similar result by A. N. Iusem, G. Kassay and W. Sosa J. Convex Analysis 16 (2009) 807–826] to Banach spaces.

Related Organizations

University of Mazandaran
Iran (Islamic Republic of)
University of the Aegean
Greece

Keywords

generalized monotone operator, locally bounded operator, monotone operator, premonotone map, Monotone operators and generalizations, Set-valued operators, Set-valued and variational analysis

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