EXISTENCE THEOREMS FOR GENERALIZED VECTOR VARIATIONAL INEQUALITIES WITH PSEUDOMONOTONICITY AND THEIR APPLICATIONS
EXISTENCE THEOREMS FOR GENERALIZED VECTOR VARIATIONAL INEQUALITIES WITH PSEUDOMONOTONICITY AND THEIR APPLICATIONS
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DOI：
10.11650/tjm.12.2008.564
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发表时间：
2008-01
影响因子：
0.4
通讯作者：
G. Chen;X. X. Huang-X.;J. Yao
中科院分区：
文献类型：
--
作者：
G. Chen;X. X. Huang-X.;J. Yao
在自反Banach空间中研究了一类具有伪单调性的广义向量变分不等式的可解性。利用KKM-Fan引理和Nadler的结果，我们得到了这类具有伪单调性的广义向量变分不等式的可解性结果。利用这些结果，我们还建立了伪单调集值函数零点的存在性定理，包括零点存在性的刻画。
The purpose of this paper is to study the solvability for a class of generalized vector variational inequalities with pseudomonotonicity in reflexive Banach spaces. Utilizing the KKM-Fan lemma and the Nadler’s result, we derive the solvability results for this class of generalized vector variational inequalities with pseudomonotonicity. Utilizing these results, we also establish some existence theorems for zero points of pseudomonotone multifunctions including the characterization of the existence of zero points.