Generalized cone-subconvexlike set-valued maps and applications to vector optimization

The definitions of cone-subconvexlike st-valued maps and generalized cone-subconvexlike set-valued maps in topological vetor spaces are defined by using the relative interiors of ordering cone.The relationships between the two classes of set-valued maps are investigated.and some properties of them are shown.A Gordan type alternative theorem under the assumption of generalized cone-subconvexlikeness of set-valued maps is proved by applying convex separation theorems involoving the relative interiors in infinite dimensional spaces.Finally a necessary optimality condition theorem is shown for a general kind of set-valued vector optimization in a sense of weak E-minimizer.     

Banach空间中一类广义向量变分不等式解的存在性

在Banach空间中引入和研究了一类具有更一般形式的广义集值向量变分不等式问题,证明了此类变分不等式解的存在性,并得到了一些解的性质.     

Banach空间一类新的完全广义集值拟变分包含解的存在性

在Banaeh空间中引入了一类新的完全广义集值拟变分包含，构造了近似解的迭代算法，并且证明了这类完全广义集值拟变分包含解的存在性，本的定理推广了献[3]的近期结果。     

向量优化问题解的存在性

文中定义了广义有效解,并利用集值映射向量似变分不等式证明了不可微向量优化问题的广义有效解的存在性。     

Clifford分析中广义正则函数向量的带位移带共轭的线性边值问题

讨论了Clifford分析中广义正则函数向量的带位移带共轭的线性边值问题，得到了其plemelj公式，然后用积分方程的方法和压缩映射原理证明了该问题解的存在唯一性，并得到了解的积分表达式。