An inverse function theorem in Fréchet spaces without smoothing operators
نویسندگان
چکیده
منابع مشابه
An inverse function theorem in Fréchet spaces
I present an inverse function theorem for differentiable maps between Fréchet spaces which contains the classical theorem of Nash and Moser as a particular case. In contrast to the latter, the proof does not rely on the Newton iteration procedure, but on Lebesgue’s dominated convergence theorem and Ekeland’s variational principle. As a consequence, the assumptions are substantially weakened: th...
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1988
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-48-1-41-50