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- W1526821364 abstract "Abstract This note provides a differentiable characterization of local contractions on an arbitrary Banach space. As a corollary, a refinement to Ostrowski’s sufficient condition for local convergence in finite spaces is obtained, which applies to many models, e.g. in economics, ecology or game theory, where one has an interest in fixed point iterations and local stability of discrete dynamic processes. We show that for the local contraction property to hold, continuity of the derivative at the fixed point is indispensable." @default.
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- W1526821364 date "2015-07-07" @default.
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- W1526821364 title "A differentiable characterization of local contractions on Banach spaces" @default.
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- W1526821364 doi "https://doi.org/10.1186/s13663-015-0349-7" @default.
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