弧连通凸集值映射向量优化问题

Vector Optimization Problems with Arcwise Connected Convex Set-valued Maps

在拓扑向量空间中引入弧连通凸集值映射的概念 ,建立了择一定理 ,证明了标量化定理和La grange乘子定理。

In this paper, the concept of the arcwise connected convex set-valued maps is introduced in topological spaces and a theorem of alternative established. The theorems of scalarization and Lagrange's multipliers are proved.