Some conditions for maximal monotonicity of bifunctions
Hadjisavvas, Nicolas (King Fahd University of Petroleum and Minerals)
Jacinto, Flavia M. O. (Universidade Federal do Amazonas)
Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)

Data:	2016
Resum:	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.
Ajuts:	Ministerio de Ciencia e Innovación MTM2011-29064-C03-01
Nota:	Altres ajuts. The first author was supported by the startup research grant no. SR141001 of the King Fahd University of Petroleum and Minerals. This work was developed during the postdoctoral stay of the second author at the Department of Economics and Economic History of the Universitat Autònoma de Barcelona. She gratefully acknowledges the financial support received from Science without Borders Program of CNPq-Brazil under grant 246699/2012-4 and the warm hospitality of the third author as well as of the members from the host institution. The third author was supported by the MICINN of Spain, Grant MTM2011-29064-C03-01, and under Australian Research Council's Discovery Projects funding scheme (project number DP140103213).
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Llengua:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Matèria:	Monotone bifunctions ; Maximal monotone operators ; Equilibrium problems
Publicat a:	Set-Valued and Variational Analysis, Vol. 24, Núm. 2 (June 2016) , p. 323-332, ISSN 1877-0541

DOI: 10.1007/s11228-015-0343-6

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