An inverse function theorem via continuous Newton’s method
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: Nonlinear Analysis: Theory, Methods & Applications
سال: 2001
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(01)00439-4