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A Remark on Contractive Mappings
Canadian Mathematical Bulletin, 1970Much current research is concerned with the fixed points of contractive mappings (mappings which shrink distance in some manner) from a metric space into itself. In this remark we shall point out that most mappings treated in the literature are very special in the sense that all these mappings satisfy a condition which is rather severe: every periodic ...
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Some Remarks Concerning Contraction Mappings
Canadian Mathematical Bulletin, 1971The following result is proved in [1, p. 6].Theorem 1. Let X be a complete metric space, and let T and Tn(n = 1, 2,…)be contraction mappings of X into itself with the same Lipschitz constant k<1, and with fixed points u and un respectively. Suppose that limn → ∞ Tn(x) = T(x) for every x ∊ X. Then limn → ∞ un = u.
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Contraction Maps and Equivalent Linearization*
Bell System Technical Journal, 1967This study is primarily concerned with the question: If the method of equivalent linearization indicates the existence of a periodic solution, is there actually a periodic solution near the approximation of equivalent linearization? To answer this question, we use a modification of the contraction mapping fixed point theorem. We discuss applications to
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On Predominantly Contractive Mappings
Journal of the London Mathematical Society, 1963openaire +2 more sources
Lymphatic Mapping and Sentinel Node Analysis: Current Concepts and Applications
Ca-A Cancer Journal for Clinicians, 2006Anton J Bilchik
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From genome-wide associations to candidate causal variants by statistical fine-mapping
Nature Reviews Genetics, 2018Daniel J Schaid +2 more
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Fate Mapping via Ms4a3-Expression History Traces Monocyte-Derived Cells
Cell, 2019Zhaoyuan Liu +2 more
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