Monotone Linear Relations: Maximality and Fitzpatrick Functions

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dc.creatorBauschke, Heinz H.
dc.creatorWang, Xianfu
dc.creatorYao, Liangjin
dc.date2008-05-28
dc.date.accessioned2026-07-07T09:41:18Z
dc.date.available2026-07-07T09:41:18Z
dc.descriptionWe analyze and characterize maximal monotonicity of linear relations (set-valued operators with linear graphs). An important tool in our study are Fitzpatrick functions. The results obtained partially extend work on linear and at most single-valued operators by Phelps and Simons and by Bauschke, Borwein and Wang. Furthermore, a description of skew linear relations in terms of the Fitzpatrick family is obtained. We also answer one of Simons problems by showing that if a maximal monotone operator has a convex graph, then this graph must actually be affine.
dc.identifierhttps://arxiv.org/abs/0805.4256
dc.identifierhttp://arxiv.org/abs/0805.4256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161781
dc.subjectFunctional Analysis
dc.subjectOptimization and Control
dc.subject47A06; 47H05
dc.titleMonotone Linear Relations: Maximality and Fitzpatrick Functions
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