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Open mappings and solvability of nonlinear equations in Banach space
Published online by Cambridge University Press: 14 November 2011
Extract
We give sufficient conditions under which a funclion f: X → Y is an open mapping, where X and y are Banach spaces. This function is not necessarily continuous, but is assumed to have closed graph. We prove our results without requiring that f be Gateaux differentiable; instead, f is assumed to possess a weak type of Gateaux inverse derivative.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 2 , 1996 , pp. 239 - 246
- Copyright
- Copyright © Royal Society of Edinburgh 1996
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