In Hilbert space setting we prove local lipchitzness of projections onto parametric polyhedral sets represented as solutions to systems of inequalities and equations with parameters appearing both in left- and right-hand sides of the constraints. In deriving main results we assume that data are locally Lipschitz functions of parameter and the relaxed constant rank constraint qualification condition is satisfied.

中文翻译：

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多面运动集投影的Lipschitz连续性

在希尔伯特空间设置中，我们证明了投影到参数多面体集上的局部lipchitzness，表示为不等式和方程组的解，其参数同时出现在约束的左侧和右侧。在得出主要结果时，我们假设数据是参数的局部Lipschitz函数，并且满足了宽松的常秩约束条件。