Geodesic
Finer Properties of Ultramaximally Monotone Operators on Banach Spaces
Journal of convex analysis, Tome 23 (2016) no. 4, pp. 1205-1218
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We study properties of ultramaximally monotone operators. We characterize the interior and the closure of the range of an ultramaximally monotone operator. We establish the Brezis-Haraux condition in the setting of a general Banach space. Moreover, we show that every ultramaximally monotone operator is of type (NA), which generalizes Bauschke and Simons' result.
Classification : 47H05, 47N10, 47B65, 90C25
Mots-clés : Brezis-Haraux condition, Fenchel conjugate, Fitzpatrick function, linear relation, maximally monotone operator, monotone operator, operator of type (D), operator of type (NI), operator of type (NA), rectangular, set-valued operator, subdifferential operat 
@article{JCA_2016_23_4_JCA_2016_23_4_a9,
     author = {L. Yao},
     title = {Finer {Properties} of {Ultramaximally} {Monotone} {Operators} on {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {1205--1218},
     year = {2016},
     volume = {23},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2016_23_4_JCA_2016_23_4_a9/}
}
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L. Yao. Finer Properties of Ultramaximally Monotone Operators on Banach Spaces. Journal of convex analysis, Tome 23 (2016) no. 4, pp. 1205-1218. http://geodesic.mathdoc.fr/item/JCA_2016_23_4_JCA_2016_23_4_a9/