A note on contractive mappings
Author:
E. Rakotch
Journal:
Proc. Amer. Math. Soc. 13 (1962), 459-465
MSC:
Primary 54.85
DOI:
https://doi.org/10.1090/S0002-9939-1962-0148046-1
MathSciNet review:
0148046
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References | Similar Articles | Additional Information
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S. Banach, Sur les opérations dans les ensembles abstraits et leur applications aux équations intégrales, Fund. Math. 3 (1922), 160.
M. Edelstein, On fixed and periodic points under contraction mappings, J. London Math. Soc. (to appear).
T. H. Hildebrandt and L. M. Graves, Implicit functions and their differentials in general analysis, Trans. Amer. Math. Soc. 29 (1927), 127-153.
J. Schauder, Der Fixpunktsatz in Funktionalräumen, Studia Math. 2 (1930), 175.
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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Article copyright:
© Copyright 1962
American Mathematical Society
