On the Construction of Maximal p-Cyclically Monotone Operators
Journal of convex analysis, Tome 28 (2021) no. 4, pp. 1171-1186
We deal with the construction of explicit examples of maximal p-cyclically monotone operators. To date, there is only one instance of an explicit example of a maximal 2-cyclically monotone operator that is not maximal monotone. We present a systematic way to construct this kind of examples, along with several explicit examples.
Classification :
47H04, 47H05, 49J53
Mots-clés : Maximal p-cyclically monotone operators, p-cyclically monotone polar
Mots-clés : Maximal p-cyclically monotone operators, p-cyclically monotone polar
@article{JCA_2021_28_4_JCA_2021_28_4_a9,
author = {O. Bueno and J. Cotrina},
title = {On the {Construction} of {Maximal} {p-Cyclically} {Monotone} {Operators}},
journal = {Journal of convex analysis},
pages = {1171--1186},
year = {2021},
volume = {28},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JCA_2021_28_4_JCA_2021_28_4_a9/}
}
O. Bueno; J. Cotrina. On the Construction of Maximal p-Cyclically Monotone Operators. Journal of convex analysis, Tome 28 (2021) no. 4, pp. 1171-1186. http://geodesic.mathdoc.fr/item/JCA_2021_28_4_JCA_2021_28_4_a9/