Stability of semi-infinite vector optimization problems under functional perturbations
Stability of semi-infinite vector optimization problems under functional perturbations
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DOI：
10.1007/s10898-008-9391-x
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发表时间：
2009-12
影响因子：
1.8
通讯作者：
T. D. Chuong;N. Huy;J. Yao
中科院分区：
文献类型：
--
作者：
T. D. Chuong;N. Huy;J. Yao
研究了参数半无限向量优化问题Pareto解映射的连续性。在目标函数和约束集的函数扰动下，我们建立了Pareto解映射的上下连续性的新的必要条件。我们还表明，必要条件成为充分的下，上连续性的特殊情况下，约束集映射是下连续的参考点。并举例说明所得结果。
This paper is devoted to the study of continuity properties of Pareto solution maps for parametric semi-infinite vector optimization problems (PSVO). We establish new necessary conditions for lower and upper semicontinuity of Pareto solution maps under functional perturbations of both objective functions and constraint sets. We also show that the necessary condition becomes sufficient for the lower and upper semicontinuous properties in the special case where the constraint set mapping is lower semicontinuous at the reference point. Examples are given to illustrate the obtained results.