Abstract The paper is focussed on the Lipschitz lower semicontinuity of the feasible set mapping for linear (finite and infinite) inequality systems in three different perturbation frameworks: full, right-hand side and left-hand side perturbations. Inspired by [14] , we introduce the Lipschitz lower semicontinuity-star as an intermediate notion between the Lipschitz lower semicontinuity and the well-known Aubin property. We provide explicit point-based formulae for the moduli (best constants) of all three Lipschitz properties in all three perturbation settings.

中文翻译：

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线性不等式系统的 Lipschitz 下半连续模

摘要 本文关注三种不同扰动框架中线性（有限和无限）不等式系统的可行集映射的 Lipschitz 下半连续性：完全扰动、右侧扰动和左侧扰动。受 [14] 的启发，我们引入 Lipschitz 下半连续性星作为 Lipschitz 下半连续性和众所周知的 Aubin 性质之间的中间概念。我们为所有三个扰动设置中的所有三个 Lipschitz 属性的模量（最佳常数）提供了明确的基于点的公式。