Publicación:
Remarks on p-cyclically monotone operators

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Fecha
2019
Autores
Bueno, O
Cotrina, J
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Taylor and Francis Ltd.
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Abstracto
In this paper, we deal with three aspects of p-cyclically monotone operators. First, we introduce a notion of monotone polar adapted for p-cyclically monotone operators and study these kinds of operators with a unique maximal extension (called pre-maximal), and with a convex graph. We then deal with linear operators and provide characterizations of p-cyclical monotonicity and maximal p-cyclical monotonicity. Finally, we show that the Brézis-Browder theorem preserves p-cyclical monotonicity in reflexive Banach spaces.
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P-cyclically monotone operators, Fitzpatrick functions of order p, Linear p-cyclically monotone operators
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https://hdl.handle.net/20.500.12390/1173
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