Hölder continuity of perturbed solution set for convex optimization problems
Hölder continuity of perturbed solution set for convex optimization problems
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DOI：
10.1016/j.amc.2014.01.095
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发表时间：
2014-04
期刊：
影响因子：
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通讯作者：
Xiao-Bing Li;Shengjie Li
中科院分区：
文献类型：
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作者：
Xiao-Bing Li;Shengjie Li
本文首先建立了一类标量优化问题扰动解集的局部唯一性和Hölder连续性的充分条件。然后，利用线性标量化方法，分别得到了一类多目标规划问题的两类扰动解集的Hölder连续性。我们也给出了一些例子来说明我们的主要结果是适用的。这些例子也说明了我们的主要结果是新的，不同于文献中的结果。
In this paper, we first establish sufficient conditions for the local uniqueness and Hölder continuity of perturbed solution set for a scalar optimization problem. Then, by using a linear scalarization method, we obtain the Hölder continuity of two classes of perturbed solution sets for a multiobjective programming problem, respectively. We also give some examples to illustrate that our main results are applicable. These examples are also given to illustrate that our main results are new and different from the ones in literature.