We take a fresh look at the Bartle-Graves theorem pointing out the main differences with the standard implicit function theorem. We then present a set-valued version of this theorem which generalizes some recent results. Applications to variational inequalities and differential inclusions are also given.

中文翻译：

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重探巴夫·格雷夫斯定理

我们重新看一下Bartle-Graves定理，指出与标准隐式函数定理的主要区别。然后，我们给出该定理的一个集值版本，将最近的一些结果进行概括。还给出了变分不等式和微分包含的应用。