Two-level iterative method for non-stationary mixed variational inequalities

被引：7
作者：
Konnov I.V. [1 ]
Salahuddin [2 ]
机构：
[1] Kazan Federal University, ul. Kremlyovskaya 18, Kazan
[2] Jazan University, Jazan
来源：
Russian Mathematics | 2017年 / 61卷 / 10期
基金：
俄罗斯基础研究基金会; 芬兰科学院;
关键词：
>non-stationarity; approximate solutions; gap function; mixed variational inequality; non-monotone mappings; penalty method; potential mappings;
D O I：
10.3103/S1066369X17100061
中图分类号：
学科分类号：
摘要：
We consider a mixed variational inequality problem involving a set-valued nonmonotone mapping and a general convex function, where only approximation sequences are known instead of exact values of the cost mapping and function, and feasible set. We suggest to apply a two-level approach with inexact solutions of each particular problem with a descent method and partial penalization and evaluation of accuracy with the help of a gap function. Its convergence is attained without concordance of penalty, accuracy, and approximation parameters under coercivity type conditions. © 2017, Allerton Press, Inc.
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页码：44 / 53
页数：9
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