Remarks on p-cyclically monotone operators

Resultado de la investigación: Contribución a una revistaArtículo de revista revisión exhaustiva

1 Cita (Scopus)

Resumen

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.
Idioma originalInglés
Páginas (desde-hasta)2071-2087
Número de páginas17
PublicaciónOptimization
Volumen68
N.º11
DOI
EstadoPublicada - 2 nov. 2019

Nota bibliográfica

Funding Information:
This research was partially supported by Consejo Nacional de Ciencia, Tecnolog?a e Innovaci?n Tecnol?gica, Cienciactiva - CONCYTEC EE020-MATH Amsud Project No. 003-2017 and by Math Amsud 17-MATH-06. We would like to thank the anonymous referees for the suggestions and comments, which helped to improve this work.

Palabras clave

  • 47H04
  • 47H05
  • 49J53
  • Brézis–Browder theorem
  • Fitzpatrick functions of order p
  • linear p-cyclically monotone operators
  • p-cyclically monotone operators

Huella

Profundice en los temas de investigación de 'Remarks on p-cyclically monotone operators'. En conjunto forman una huella única.

Citar esto