在适当条件下,讨论实的局部凸Hausdorff拓扑线性空间中向量均衡问题弱有效解集的连通性,其中目标映射是两个具不同性质的二元映射之和。先利用映射C-的单调性及凸性讨论向量均衡问题f-有效解的存在性,再通过标量化构造上半连续的集值映射,并结合映射的凹性证明解集的连通性。
It discussed the connectedness set of weak efficient solutions for vector equilibrium with a mapping which is the sum of two functions with different conditions,in real locally convex Hausdorff topological vector spaces,under some suitable assumptions.Fivst,it studied the existence of the f-efficienct solution through monotone and convex of the functions.Then it composed a set-valued mapping which is upper semicontinuous.Finally,it proved the set of weaky efficienct solutions is connected through the concave of the functions.