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• W2022083862 abstract "Our aim is to present sufficient conditions ensuring Hoffman'serror bound for lower semicontinuous nonconvex inequality systems and to analyze its impact on the local controllability, implicit function theorem for (non-Lipschitz) multivalued mappings, generalized equations (variational inequalities), and sensitivity analysis and on other problems like Lipschitzian properties of polyhedral multivalued mappings as well as weak sharp minima or linear conditioning. We show how the information about our sufficient conditions can be used to provide a computable constant such that Hoffman's error bound holds. We also show that this error bound is nothing but the classical Farkas lemma for linear inequality systems. In the latter case our constant may be computed explicitly." @default.
• W2022083862 created "2016-06-24" @default.
• W2022083862 creator A5038275535 @default.
• W2022083862 date "2000-01-01" @default.
• W2022083862 modified "2023-09-26" @default.
• W2022083862 title "Hoffman's Error Bound, Local Controllability, and Sensitivity Analysis" @default.
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• W2022083862 doi "https://doi.org/10.1137/s0363012998339216" @default.
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