Coincidence Point

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High Quality Content by WIKIPEDIA articles! In mathematics, a coincidence point (or simply coincidence) of two mappings is a point in their domain having the same image point under both mappings. Coincidence theory (the study of coincidence points) is, in most settings, a generalization of fixed point theory, the study of points x with f(x) = x. Fixed point theory is the special case obtained from the above by letting X = Y and taking g to be the identity mapping. Just as fixed point theory has its fixed-point theorems, there are theorems that guarantee the existence of coincidence points for pairs of mappings. Notable among them, in the setting of manifolds, is the Lefschetz coincidence theorem, which is typically known only in its special case formulation for fixed points. Coincidence points, like fixed points, are today studied using many tools from mathematical analysis and topology. An Equaliser is a generalization of the coincidence set.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131105999
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • EAN 9786131105999
    • Format Fachbuch
    • Titel Coincidence Point
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 92
    • Genre Mathematik

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