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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


A note on contractive mappings

Author: E. Rakotch
Journal: Proc. Amer. Math. Soc. 13 (1962), 459-465
MSC: Primary 54.85
MathSciNet review: 0148046
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  • [1] S. Banach, Sur les opérations dans les ensembles abstraits et leur applications aux équations intégrales, Fund. Math. 3 (1922), 160.
  • [2] M. Edelstein, On fixed and periodic points under contraction mappings, J. London Math. Soc. (to appear).
  • [3] T. H. Hildebrandt and L. M. Graves, Implicit functions and their differentials in general analysis, Trans. Amer. Math. Soc. 29 (1927), 127-153.
  • [4] J. Schauder, Der Fixpunktsatz in Funktionalräumen, Studia Math. 2 (1930), 175.
  • [5] E. H. Zarantonello, Solving functional equations by contractive averaging, Mathematical Research Center, Madison, Wisconsin, Technical Summary Report No. 160, June 1960.

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PII: S 0002-9939(1962)0148046-1
Article copyright: © Copyright 1962 American Mathematical Society