摘要
在黎曼流形上分别给出了伪不变凸函数和弱向量似变分不等式的概念.研究这类弱向量似变分不等式和向量优化问题弱有效解之间的关系.利用最大元定理证明了弱向量变分不等式解的存在性,并给出了向量优化问题弱有效解存在的条件.
The definitions of pseudo-invex function and weak vector variation-like inequality on Riemannian manifolds are presented. The relationship between this kind of weak vector variation-like inequalities and the weak efficient solution of vector optimization problems is obtained. By using the maximum element theorem, the existence theorem for weak vector variational-like inequalities defined on Riemannian manifolds is given. Moreover, the conditions for the existence of weak efficient solution to vector optimization problems are presented.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第4期44-47,共4页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金资助项目(60574075)
