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Some Conditions for Maximal Monotonicity of Bifunctions

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Abstract

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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Authors and Affiliations

  1. Mathematics and Statistics Department, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Kingdom of Saudi Arabia

    Nicolas Hadjisavvas

  2. Departamento de Matemática, Universidade Federal do Amazonas, 69077-000, AM, Manaus, Brazil

    Flávia M. O. Jacinto

  3. MOVE (Markets, Organizations and Votes in Economics) and Departament d’Economia i d’Història Econòmica, Universitat Autònoma de Barcelona, 08193, Bellaterra, Spain

    Juan E. Martínez-Legaz

Authors
  1. Nicolas Hadjisavvas
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  2. Flávia M. O. Jacinto
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  3. Juan E. Martínez-Legaz
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Correspondence to Nicolas Hadjisavvas.

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Hadjisavvas, N., Jacinto, F.M.O. & Martínez-Legaz, J.E. Some Conditions for Maximal Monotonicity of Bifunctions. Set-Valued Var. Anal 24, 323–332 (2016). https://doi.org/10.1007/s11228-015-0343-6

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

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