Some Conditions for Maximal Monotonicity of Bifunctions

We present necessary and sufficient conditions for a monotone bifunction to be maximally monotone, based on a recent characterization of maximally monotone operators. These conditions state the existence of solutions to equilibrium problems obtained by perturbing the defining bifunction in a suitabl...

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Bibliographic Details
Published in:Set-valued and variational analysis 2016-06, Vol.24 (2), p.323-332
Main Authors: Hadjisavvas, Nicolas, Jacinto, Flávia M. O., Martínez-Legaz, Juan E.
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
Optimization
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Summary:We present necessary and sufficient conditions for a monotone bifunction to be maximally monotone, based on a recent characterization of maximally monotone operators. These conditions state the existence of solutions to equilibrium problems obtained by perturbing the defining bifunction in a suitable way.
ISSN:1877-0533
1877-0541
DOI:10.1007/s11228-015-0343-6