Equilibrium Problems: Existence Results and Applications

被引：17
|
作者：
Cotrina, John [1 ]
Garcia, Yboon [1 ]
机构：
[1] Univ Pacifico, Ave Salaverry 2020, Lima, Peru
来源：
SET-VALUED AND VARIATIONAL ANALYSIS | 2018年 / 26卷 / 01期
关键词：
Equilibrium problems; Convex feasibility problems; Generalized monotonicity; Generalized convexity; Coercivity conditions; Upper sign property; Minimization problems; Nash equilibrium problems; CONTINUITY;
D O I：
10.1007/s11228-017-0451-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：159 / 177
页数：19
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