Application of the penalty method to limit quasi-equilibrium problems

被引：0
|
作者：
Konnov, Igor [1 ]
机构：
[1] Kazan Fed Univ, Dept Syst Anal & Informat Technol, Kremlevskaya St 18, Kazan 420008, Russia
来源：
OPTIMIZATION LETTERS | 2021年 / 15卷 / 05期
基金：
俄罗斯基础研究基金会;
关键词：
Limit problem; Quasi-equilibrium problem; Approximation sequences; Penalty method; Coercivity conditions; APPROXIMATION; GAMES;
D O I：
10.1007/s11590-019-01455-4
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We solve a general quasi-equilibrium problem in a finite-dimensional setting, where only approximation sequences are used instead of exact values of the bi-function and feasible map. We suggest to utilize a sequence of solutions of auxiliary problems based on a penalty method. Its convergence is attained without concordance of penalty and approximation parameters under mild coercivity type conditions.
引用
收藏
页码：1773 / 1783
页数：11
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