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Proceedings of the American Mathematical Society

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An implicit function theorem without differentiability

Author: J. Warga
Journal: Proc. Amer. Math. Soc. 69 (1978), 65-69
MSC: Primary 58C15
MathSciNet review: 0488116
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Abstract: We combine a ``global'' version of the classical inverse function theorem with Schauder's fixed point theorem to investigate the existence and continuity properties of a function $ (F,x) \to \eta (F,x)$ such that $ \eta (F,x) = F(\eta (F,x),x)$.

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Keywords: Implicit functions, nondifferentiable functions, fixed points, Banach spaces, measurable and continuous selections
Article copyright: © Copyright 1978 American Mathematical Society

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