The pseudomonotone polar for multivalued operators

@article{Bueno2016ThePP,
  title={The pseudomonotone polar for multivalued operators},
  author={Orestes Bueno and John Edwin Cotrina},
  journal={Optimization},
  year={2016},
  volume={66},
  pages={691 - 703}
}
In this work, we study the pseudomonotonicity of multivalued operators from the point of view of polarity, in an analogous way as the well-known monotone polar due to Martínez-Legaz and Svaiter, and the quasimonotone polar recently introduced by Bueno and Cotrina. We show that this new polar, adapted for pseudomonotonicity, possesses analogous properties to the monotone and quasimonotone polar, among which are a characterization of pseudomonotonicity, maximality and pre-maximality. Furthermore… 
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4 Citations

On Maximality of Quasimonotone Operators

We introduce the notion of quasimonotone polar of a multivalued operator, in a similar way as the well-known monotone polar due to Martínez-Legaz and Svaiter. We first recover several properties…

On Maximality of Quasimonotone Operators

We introduce the notion of quasimonotone polar of a multivalued operator, in a similar way as the well-known monotone polar due to Martínez-Legaz and Svaiter. We first recover several properties…

Remarks on p-cyclically monotone operators

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…

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ABSTRACT In this article, the new notions of maximal r-monotone operator and r-polar are introduced and studied. Then, first-order characterizations for smooth and locally Lipschitz r-monotone maps…

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