The Tikhonov Regularization Method for Set-Valued Variational Inequalities

被引：11
|
作者：
He, Yiran [1 ]
机构：
[1] Sichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
基金：
中国国家自然科学基金;
关键词：
COERCIVITY CONDITIONS; EXCEPTIONAL FAMILIES; STRICT FEASIBILITY; ELEMENTS;
D O I：
10.1155/2012/172061
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper aims to establish the Tikhonov regularization theory for set-valued variational inequalities. For this purpose, we firstly prove a very general existence result for set-valued variational inequalities, provided that the mapping involved has the so-called variational inequality property and satisfies a rather weak coercivity condition. The result on the Tikhonov regularization improves some known results proved for single-valued mapping.
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收藏
页数：10
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