摘要
研究了Banach空间中一类G-可导映射的广义拟向量变分不等式问题,运用KKM定理证明这类问题解的存在性,并在适当的条件下证明了此类问题与Konnov I V和Yao J C等人提出的广义向量变分不等式问题是等价的.
This paper discusses a new generalized Quasi-vector variational irtequality problem of Gateaux differential mappings in Banach space and proves the existence of a solution for such a problem by the KKM theorem. It indicates that this problem is equal to the generalized vector variational inequality problem which raised by Konnov I V and Yao J C in suitable condition.
出处
《温州大学学报(自然科学版)》
2008年第2期8-13,共6页
Journal of Wenzhou University(Natural Science Edition)