# 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} }

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…

## One Citation

### On the construction of maximal $p$-cyclically monotone operators

- 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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