×
Rakotch, E.

A note on contractive mappings. (English) Zbl 0105.35202

Proc. Am. Math. Soc. 13, 459-465 (1962).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0105.35202

Cited in 6 Reviews
Cited in 155 Documents

Keywords:

topology
Cite Review PDF
Full Text: DOI

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.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.