Geodesic
Topological Homotheties on Compact Metrizable Spaces
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1383-1386

Voir la notice de l'article provenant de la source Cambridge University Press

Notation and definitions. Definition 1. Let (X, ρ) be a metric space and φ: X → X a continuous self-mapping of X. We shall call φ and α-contraction on (X, ρ) if and only if α ε [0,1) and . We shall call φ an α-homothety on (X, ρ) if and only if α > 0 and . 
Janos, Ludvik. Topological Homotheties on Compact Metrizable Spaces. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1383-1386. doi: 10.4153/CJM-1968-138-2
@article{10_4153_CJM_1968_138_2,
     author = {Janos, Ludvik},
     title = {Topological {Homotheties} on {Compact} {Metrizable} {Spaces}},
     journal = {Canadian journal of mathematics},
     pages = {1383--1386},
     year = {1968},
     volume = {20},
     number = {1},
     doi = {10.4153/CJM-1968-138-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-138-2/}
}
TY  - JOUR
AU  - Janos, Ludvik
TI  - Topological Homotheties on Compact Metrizable Spaces
JO  - Canadian journal of mathematics
PY  - 1968
SP  - 1383
EP  - 1386
VL  - 20
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-138-2/
DO  - 10.4153/CJM-1968-138-2
ID  - 10_4153_CJM_1968_138_2
ER  - 
%0 Journal Article
%A Janos, Ludvik
%T Topological Homotheties on Compact Metrizable Spaces
%J Canadian journal of mathematics
%D 1968
%P 1383-1386
%V 20
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-138-2/
%R 10.4153/CJM-1968-138-2
%F 10_4153_CJM_1968_138_2

[1] 1. Bing, R. H., Extending a metric, Duke Math. J. 14 (1947), 511–519. Google Scholar

[2] 2. Janos, L., Converse of the theorem on contracting mapping, Notices Amer. Math. Soc. 11 1964), 224. Google Scholar

[3] 3. Janos, L., A converse of Banach's contraction theorem, Proc. Amer. Math. Soc. 18 (1967), 287–289. Google Scholar

Cité par Sources :