Some Conditions for Maximal Monotonicity of Bifunctions

Nicolas Hadjisavvas; Flávia M.O. Jacinto; Juan E. Martínez-Legaz

doi:https://doi.org/10.1007/s11228-015-0343-6

Some Conditions for Maximal Monotonicity of Bifunctions

Nicolas Hadjisavvas, Flávia M.O. Jacinto, Juan E. Martínez-Legaz

Department of Economics and Economic History

Research output: Contribution to journal › Article › Research › peer-review

6 Citations (Scopus)

Abstract

© 2015, Springer Science+Business Media Dordrecht. 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.

Original language	English
Pages (from-to)	323-332
Journal	Set-Valued and Variational Analysis
Volume	24
Issue number	2
DOIs	https://doi.org/10.1007/s11228-015-0343-6
Publication status	Published - 1 Jun 2016

Keywords

Equilibrium problems
Maximal monotone operators
Monotone bifunctions

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https://ddd.uab.cat/record/186444

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title = "Some Conditions for Maximal Monotonicity of Bifunctions",

abstract = "{\textcopyright} 2015, Springer Science+Business Media Dordrecht. 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.",

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AU - Jacinto, Flávia M.O.

AU - Martínez-Legaz, Juan E.

PY - 2016/6/1

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AB - © 2015, Springer Science+Business Media Dordrecht. 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.

KW - Equilibrium problems

KW - Maximal monotone operators

KW - Monotone bifunctions

U2 - https://doi.org/10.1007/s11228-015-0343-6

DO - https://doi.org/10.1007/s11228-015-0343-6

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VL - 24

SP - 323

EP - 332

IS - 2

ER -

Some Conditions for Maximal Monotonicity of Bifunctions

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Keywords

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