Representation of generalized monotone multimaps |
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Authors: | Jean-Paul Penot |
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Institution: | 1. CNRS UMR 7598 Laboratoire Jacques-Louis Lions, Sorbonne Universités UPMC Univ Paris 06
, Paris, France.penotj@ljll.math.upmc.fr |
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Abstract: | AbstractWe survey the role of generalized dualities when dealing with generalized monotone operators, observing that for many conjugacies the coupling function is neither bilinear nor finitely valued. We also make a comparison with the use of bifunctions considered in a similar perspective. We introduce a class of operators close to the class of accretive operators and we raise some open questions. |
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Keywords: | Antiderivative balanced space conservative set cyclically monotone operator Fitzpatrick function monotone operator |
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