INVERSE MAPPING THEOREM ON COORDINATE SPACES
- 1 January 2001
- journal article
- other
- Published by Wiley in Bulletin of the London Mathematical Society
- Vol. 33 (4) , 473-482
- https://doi.org/10.1017/s0024609301008050
Abstract
A mean-value theorem, an inverse mapping theorem and an implicit mapping theorem are established here in a class of complex locally convex spaces, including the spaces of test functions in distribution theory. Our main tool is the integral formula and the invariance of the domain, derived from topological degrees, rather than from fixed points of contractions in Banach spaces.Keywords
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