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含参集值弱平衡问题解集映射的下半连续性

, PP. 841-845

Keywords: 含参集值弱向量平衡问题,f-有效解,f-性质,下半连续性,标量化

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Abstract:

含参变分不等式或含参向量平衡问题解集映射的稳定性分析是向量优化理论的研究热点之一.在不需要单调性及任何解集信息的假设条件下,利用标量化的方法和一个下半连续集值映射簇的并仍然是下半连续的性质,在实Huasdorff拓扑向量空间中得到了含参集值弱向量平衡问题解集映射下半连续性的一个充分性条件.证明中所用的标量化解(f-有效解)集不必是单值的,可以是一般集合.这些结果推广或改进了已有文献的一些结果,并通过例子说明了所得结果的正确性.

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