Equilibrium Problems: Existence Results and Applications

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. In this paper, we introduce certain regularizations for bifunctions, based on the corresponding regularization for functions, originally defined by J-P. Crouzeix. We show that the equilibrium problems associated to a bifunction and its regularizations are equivalent in the sense that they share the same solution set. Also, we introduce new existence results for the Equilibrium Problem, and we show some applications to minimization and Nash equilibrium problems.
Original languageEnglish
Pages (from-to)159-177
Number of pages19
JournalSet-Valued and Variational Analysis
Issue number1
StatePublished - 1 Mar 2018


  • Coercivity conditions
  • Convex feasibility problems
  • Equilibrium problems
  • Generalized convexity
  • Generalized monotonicity
  • Minimization problems
  • Nash equilibrium problems
  • Upper sign property


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