对称强向量拟均衡问题解集的稳定性及本质连通区的存在性

The Stability of Solutions Set and the Existence of Essential Component for Symmetric Strong Vector Quasi-equilibrium Problems

研究对称强向量拟均衡问题解集的稳定性。在约束集值映射满足一定连续性与目标映射是锥-真拟凸的条件下证明了对称强向量拟均衡问题构成的空间M中,大多数(在Baire分类意义下)对称强向量拟均衡问题的解集是稳定的,并证明了M中的每个对称强向量拟均衡问题的解集至少存在一个本质连通区。

The stability of the solutions set for symmetric strong vector quasi - equilibrium problems are studied. In the space M, consisting of symmetric strong vector quasi - equilibrium problems satisfying some convexity and conti- nuity conditions, most of the symmetric strong vector quasi - equilibrium problems （ in the sense of Baire category） have stable solutions set, and that for each problem in, its solutions set possesses at least one essential component.