Geodesic
A continuous dependence of fixed points of $\phi$-contractive mappings in uniform spaces
Archivum mathematicum, Tome 28 (1992) no. 3-4, pp. 155-162 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The main purpose of the present paper is to established conditions for a continuous dependence of fixed points of $\phi $-contractive mappings in uniform spaces. An application to nonlinear functional differential equations of neutral type have been made.
The main purpose of the present paper is to established conditions for a continuous dependence of fixed points of $\phi $-contractive mappings in uniform spaces. An application to nonlinear functional differential equations of neutral type have been made.
Classification : 54E15, 54H25
Keywords: complete Hausdorff uniform space; fixed point; contractive mappings 
@article{ARM_1992_28_3-4_a2,
     author = {Angelov, Vasil G.},
     title = {A continuous dependence of fixed points of $\phi$-contractive mappings in uniform spaces},
     journal = {Archivum mathematicum},
     pages = {155--162},
     year = {1992},
     volume = {28},
     number = {3-4},
     mrnumber = {1222282},
     zbl = {0798.54051},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1992_28_3-4_a2/}
}
TY  - JOUR
AU  - Angelov, Vasil G.
TI  - A continuous dependence of fixed points of $\phi$-contractive mappings in uniform spaces
JO  - Archivum mathematicum
PY  - 1992
SP  - 155
EP  - 162
VL  - 28
IS  - 3-4
UR  - http://geodesic.mathdoc.fr/item/ARM_1992_28_3-4_a2/
LA  - en
ID  - ARM_1992_28_3-4_a2
ER  - 
%0 Journal Article
%A Angelov, Vasil G.
%T A continuous dependence of fixed points of $\phi$-contractive mappings in uniform spaces
%J Archivum mathematicum
%D 1992
%P 155-162
%V 28
%N 3-4
%U http://geodesic.mathdoc.fr/item/ARM_1992_28_3-4_a2/
%G en
%F ARM_1992_28_3-4_a2
Angelov, Vasil G. A continuous dependence of fixed points of $\phi$-contractive mappings in uniform spaces. Archivum mathematicum, Tome 28 (1992) no. 3-4, pp. 155-162. http://geodesic.mathdoc.fr/item/ARM_1992_28_3-4_a2/

[1] Angelov, V.G.: Fixed point theorems in uniform spaces and applications. Czechoslovac Math. J. 37 (1987), 19-33. | MR

[2] Nadler, S.B. Jr.: Sequence of contractions and fixed points. Pasific J.Math. 27No 3 (1968), 579-585. | MR

[3] Fraser, R.B. Jr., Nadler, S.B. Jr.: Sequence of contractive mapps and fixed points. Pasific J. Math. 31 No 3 (1969), 659-667. | MR

[4] Angelov, V.G.: A converse to a contraction mapping theorem in uniform spaces. J. Nonlinear Analysis, TMA, 8 No 10 (1988), 989-996. | MR | Zbl

[5] Weil, A.: Sur les espaces a structure uniforme et sur la topologie generale. Hermann & C-ie Editeurs, Paris, 1937.

[6] Kelley, J.: General Topology. D. Van Nostrand Company, New York, 1959. | MR