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

页码：1773 / 1783

页数：11

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