TY - JOUR
T1 - Equilibrium Problems: Existence Results and Applications
AU - Cotrina, John
AU - García, Yboon
PY - 2018/3/1
Y1 - 2018/3/1
N2 - . 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.
AB - . 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.
KW - Coercivity conditions
KW - Convex feasibility problems
KW - Equilibrium problems
KW - Generalized convexity
KW - Generalized monotonicity
KW - Minimization problems
KW - Nash equilibrium problems
KW - Upper sign property
KW - Coercivity conditions
KW - Convex feasibility problems
KW - Equilibrium problems
KW - Generalized convexity
KW - Generalized monotonicity
KW - Minimization problems
KW - Nash equilibrium problems
KW - Upper sign property
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U2 - 10.1007/s11228-017-0451-6
DO - 10.1007/s11228-017-0451-6
M3 - Article in a journal
SN - 0927-6947
VL - 26
SP - 159
EP - 177
JO - Set-Valued and Variational Analysis
JF - Set-Valued and Variational Analysis
IS - 1
ER -