arXiv:1805.07055 Abstract | arXiv Analytics

arXiv:1805.07055 [math.FA]Abstract References Reviews Resources

Surjectivity in Fréchet spaces

Published 2018-05-18Version 1

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.

Categories: math.FA

Subjects: 49J53, 47H04, 54H25

Keywords: fréchet spaces, frechet spaces, surjectivity result, uniform estimates, map regularity

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