Geodesic
A Note on a Sequence of Contraction Mappings
Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 513-516

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

Let E be a metric space. A mapping T of the space E into itself is said to be a contraction if there exist s a number k, with 0 ≤ k < 1 such that for any two points x, y ∈ E. Every contraction mapping is continuous. 
Singh, S.P.; Russell, W. A Note on a Sequence of Contraction Mappings. Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 513-516. doi: 10.4153/CMB-1969-068-2
@article{10_4153_CMB_1969_068_2,
     author = {Singh, S.P. and Russell, W.},
     title = {A {Note} on a {Sequence} of {Contraction} {Mappings}},
     journal = {Canadian mathematical bulletin},
     pages = {513--516},
     year = {1969},
     volume = {12},
     number = {4},
     doi = {10.4153/CMB-1969-068-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-068-2/}
}
TY  - JOUR
AU  - Singh, S.P.
AU  - Russell, W.
TI  - A Note on a Sequence of Contraction Mappings
JO  - Canadian mathematical bulletin
PY  - 1969
SP  - 513
EP  - 516
VL  - 12
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-068-2/
DO  - 10.4153/CMB-1969-068-2
ID  - 10_4153_CMB_1969_068_2
ER  - 
%0 Journal Article
%A Singh, S.P.
%A Russell, W.
%T A Note on a Sequence of Contraction Mappings
%J Canadian mathematical bulletin
%D 1969
%P 513-516
%V 12
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-068-2/
%R 10.4153/CMB-1969-068-2
%F 10_4153_CMB_1969_068_2

[1] 1. Bonsall, F. F., Lectures on some fixed point theorems of cunctional analysis. (Tata Institute of Fundamental Research, Bombay, 1962.) Google Scholar

[2] 2. Edelstein, M., On fixed and periodic points under contractive mappings. Jour. Lond. Math. Soc. 37 (1962) 74–79. Google Scholar

Cité par Sources :