Existence of Solutions for Generalized Vector Variational-like Inequalities
Existence of Solutions for Generalized Vector Variational-like Inequalities
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DOI：
10.1007/s10957-007-9336-4
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发表时间：
2008-04
影响因子：
1.9
通讯作者：
L. Ceng;S. Schaible;J. Yao
中科院分区：
文献类型：
--
作者：
L. Ceng;S. Schaible;J. Yao
本文考虑一类广义向量变分不等式问题(简称GVVLIP)，它包括广义向量变分不等式、向量变分不等式和经典变分不等式作为特例。引入了广义C-拟单调-似算子和广义H-半连续-似算子的概念。在广义C-拟单调性质和广义H-半连续性质的假设下，得到了GVVLIP的一些存在性结果。这些结果似乎是新的和有趣的。还得到了经典变分不等式的新的存在性结果。
In this paper, we consider a generalized vector variational-like inequality problem (for short, GVVLIP), which includes generalized vector variational inequalities, vector variational inequalities and classical variational inequalities as special cases. The concepts of generalizedC-pseudomonotone-like and generalizedH-hemicontinuous-like operators are introduced. Some existence results for GVVLIP are obtained under the assumptions of generalizedC-pseudomonotone-like property and generalizedH-hemicontinuous-like property. These results appear to be new and interesting. New existence results of the classical variational inequality are also obtained.