Sensitivity analysis of solutions to a class of quasi-variational inequalities
Sensitivity analysis of solutions to a class of quasi-variational inequalities
复制标题
一类拟变分不等式解的敏感性分析
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
L. Scrimali
中科院分区：
文献类型：
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作者：
S. Adly;M. Mansour;L. Scrimali
当算子C和凸函数K都扰动时，我们给出了有限维拟变分不等式QVIu∈K（u），<$C（u），v−u <$0，<$v∈K（u）解的灵敏性结果.特别是，我们证明了保持器连续性的问题的解集周围的原问题扰动。所得结果可推广到无限维情形。
We provide a sensitivity result for the solutions to the following finite-dimensional quasi-variational inequality QVIu∈K(u),⟨C(u),v−u⟩≥0,∀v∈K(u), when both the operator C and the convex K are perturbed. In particular, we prove the Holder continuity of the solution sets of the problems perturbed around the original problem. All the results may be extended to infinite-dimensional (QVI).