词典序
数学
巴拿赫空间
变分不等式
班级(哲学)
Cone(正式语言)
应用数学
公制(单位)
度量空间
数学优化
纯数学
组合数学
算法
计算机科学
人工智能
运营管理
经济
作者
Lâm Quốc Anh,Tran Quoc Duy
出处
期刊:Optimization
[Informa]
日期:2016-07-18
卷期号:65 (11): 1929-1948
被引量:15
标识
DOI:10.1080/02331934.2016.1209673
摘要
In this paper, we consider the vector equilibrium problems involving lexicographic cone in Banach spaces. We introduce the new concepts of the Tykhonov well-posedness for such problems. The corresponding concepts of the Tykhonov well-posedness in the generalized sense are also proposed and studied. Some metric characterizations of well-posedness for such problems are given. As an application of the main results, several results on well-posedness for the class of lexicographic variational inequalities are derived.
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