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arXiv · 1805.07055

Surjectivity in Fr\'echet spaces

Milen Ivanov·Nadia Zlateva
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Abstract

We prove surjectivity result in Fr\'echet spaces of Nash-Moser type. That is, with uniform estimates over all semimorms. Our method works for functions which are only continuous and G\^ateaux differentiable like in the recent result of Ekeland. We present the results in multi-valued setting exploring the relevant notions of map regularity.

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Milen Ivanov, Nadia Zlateva. 2018-05-18. Surjectivity in Fr\'echet spaces. https://doi.org/10.1007/s10957-019-01482-2

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