| Title:
|
A continuous dependence of fixed points of $\phi$-contractive mappings in uniform spaces (English) |
| Author:
|
Angelov, Vasil G. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
28 |
| Issue:
|
2 |
| Year:
|
1992 |
| Pages:
|
155-162 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
complete Hausdorff uniform space |
| Keyword:
|
fixed point |
| Keyword:
|
contractive mappings |
| MSC:
|
54E15 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 0798.54051 |
| idMR:
|
MR1222282 |
| . |
| Date available:
|
2008-06-06T21:22:29Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107446 |
| . |
| Reference:
|
[1] Angelov, V.G.: Fixed point theorems in uniform spaces and applications.Czechoslovac Math. J. 37 (1987), 19-33. MR 0875124 |
| Reference:
|
[2] Nadler, S.B. Jr.: Sequence of contractions and fixed points.Pasific J.Math. 27No 3 (1968), 579-585. MR 0240802 |
| Reference:
|
[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 0256377 |
| Reference:
|
[4] Angelov, V.G.: A converse to a contraction mapping theorem in uniform spaces.J. Nonlinear Analysis, TMA, 8 No 10 (1988), 989-996. Zbl 0695.54030, MR 0962764 |
| Reference:
|
[5] Weil, A.: Sur les espaces a structure uniforme et sur la topologie generale.Hermann & C-ie Editeurs, Paris, 1937. |
| Reference:
|
[6] Kelley, J.: General Topology.D. Van Nostrand Company, New York, 1959. MR 0070144 |
| . |
