Abstract

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.

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Keywords

  • Maximal p-cyclically monotone operators
  • p-cyclically monotone polar

Mathematics Subject Classification

47H04, 47H05, 49J53

References

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Suggested citation

O. Bueno, J. Cotrina. “On the Construction of Maximal p-Cyclically Monotone Operators.” Journal of Convex Analysis 28 (2021), No. 4, 1171–1186. https://doi.org/10.68381/jca28068

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Published by Heldermann Verlag, 2021. Rights now held by Banach Press LLC.