Publicación:
Equilibrium Problems: Existence Results and Applications
Equilibrium Problems: Existence Results and Applications
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Fecha
2018
Autores
Cotrina J.
García Y.
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Editor
Springer Netherlands
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Abstracto
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.
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Palabras clave
Equilibrium problems,
Convex feasibility problems,
Generalized monotonicity,
Generalized convexity