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On certain conditions for the existence of solutions of equilibrium problems

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Abstract

The main purpose of this paper is the study of sufficient and/or necessary conditions for existence of solutions of equilibrium problems. We discuss some of the assumptions of the problem, under which the introduced conditions are sufficient and/or necessary, and also analyze the effect of these assumptions on the connection between the solution sets of the equilibrium problem and of a related convex feasibility problem.

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Authors and Affiliations

  1. Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Jardim Botânico, RJ, Rio de Janeiro, CEP 22460-320, Brazil

    Alfredo N. Iusem

  2. Faculty of Mathematics and Computer Sciences, Babes-Bolyai University, Str. M. Kogalniceanu 1, Cluj, Romania

    Gábor Kassay

  3. Instituto de Matemática e Ciencias Afines, Universidad Nacional de Ingeniería, Calle Los Biólogos 245 Urb. San Cesar Primera Etapa-Lima 12, Lima, Peru

    Wilfredo Sosa

Authors
  1. Alfredo N. Iusem
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  2. Gábor Kassay
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  3. Wilfredo Sosa
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Correspondence to Alfredo N. Iusem.

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Honoring Alfred Auslender in his 65th birthday.

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Iusem, A.N., Kassay, G. & Sosa, W. On certain conditions for the existence of solutions of equilibrium problems. Math. Program. 116, 259–273 (2009). https://doi.org/10.1007/s10107-007-0125-5

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  • DOI: https://doi.org/10.1007/s10107-007-0125-5

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