Remarks on p-cyclically monotone operators

• Autores: Bueno, O, Cotrina, J
• Formato: artículo
• Fecha de Publicación: 2019
• Institución: Consejo Nacional de Ciencia Tecnología e Innovación
• Repositorio: CONCYTEC-Institucional
• Lenguaje: inglés
• OAI Identifier: oai:repositorio.concytec.gob.pe:20.500.12390/1173
• Enlace del recurso: https://hdl.handle.net/20.500.12390/1173; https://doi.org/10.1080/02331934.2019.1636049
• Nivel de acceso: acceso abierto
• Materia: P-cyclically monotone operators; Fitzpatrick functions of order p; Linear p-cyclically monotone operators

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.