Vector Equilibrium Problems on Dense Sets

被引：10
|
作者：
Laszlo, Szilard [1 ]
机构：
[1] Tech Univ Cluj Napoca, Dept Math, Str Memorandumului 28, Cluj Napoca 400114, Romania
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2016年 / 170卷 / 02期
关键词：
Self-segment-dense set; Vector equilibrium problem; Vector optimization; Vector variational inequality; VARIATIONAL-INEQUALITIES; EXISTENCE; EFFICIENCY;
D O I：
10.1007/s10957-016-0915-0
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：
In this paper, we provide sufficient conditions that ensure the existence of the solution of some vector equilibrium problems in Hausdorff topological vector spaces ordered by a cone. The conditions that we consider are imposed not on the whole domain of the operators involved, but rather on a self-segment-dense subset of it, a special type of dense subset. We apply the obtained results to vector optimization and vector variational inequalities.
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页码：437 / 457
页数：21
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