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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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