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A note on contractive mappings. (English) Zbl 0105.35202


Keywords:

topology
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References:

[1] S. Banach, Sur les opérations dans les ensembles abstraits et leur applications aux équations intégrales, Fund. Math. 3 (1922), 160. · JFM 48.0201.01
[2] M. Edelstein, On fixed and periodic points under contraction mappings, J. London Math. Soc. (to appear). · Zbl 0113.16503
[3] T. H. Hildebrandt and L. M. Graves, Implicit functions and their differentials in general analysis, Trans. Amer. Math. Soc. 29 (1927), 127-153. · JFM 53.0234.02
[4] J. Schauder, Der Fixpunktsatz in Funktionalräumen, Studia Math. 2 (1930), 175. · JFM 56.0355.01
[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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