Generalized inverse mapping theorem replacing C1 condition with weaker non-expansiveness property A, enabling results for non-smooth maps and generalizations of implicit function theorem and abstract PDE existence-uniqueness.
– Sajjad Lakzian Department of Mathematical Sciences Isfahan University of Technology (IUT) Isfahan 8415683111, Iran Email address:slakzian@iut.ac.ir
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A generalization of the inverse mapping theorem in infinite dimensions
Generalized inverse mapping theorem replacing C1 condition with weaker non-expansiveness property A, enabling results for non-smooth maps and generalizations of implicit function theorem and abstract PDE existence-uniqueness.