# Remarks on p-cyclically monotone operators

```@article{Bueno2017RemarksOP,
title={Remarks on p-cyclically monotone operators},
author={Orestes Bueno and John Edwin Cotrina},
journal={Optimization},
year={2017},
volume={68},
pages={2071 - 2087}
}```
• Published 29 December 2017
• Mathematics
• Optimization
ABSTRACT 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…
1 Citations
• Mathematics
• 2019
In this paper 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

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