| Title:
|
Small functions and iterative methods (English) |
| Author:
|
Fečkan, Michal |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
33 |
| Issue:
|
4 |
| Year:
|
1992 |
| Pages:
|
589-595 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Iterative methods based on small functions are used both to show local surjectivity of certain operators and a fixed point property of mappings on scales of complete metric spaces. (English) |
| Keyword:
|
small functions |
| Keyword:
|
iterative methods |
| MSC:
|
47A50 |
| MSC:
|
47H10 |
| MSC:
|
47H17 |
| MSC:
|
47H99 |
| MSC:
|
47J25 |
| idZBL:
|
Zbl 0790.47034 |
| idMR:
|
MR1240179 |
| . |
| Date available:
|
2009-01-08T17:58:44Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118529 |
| . |
| Reference:
|
[1] Pták V.: Nondiscrete mathematical induction and iterative existence proofs.Linear Algebra & Appl. 13 223-238 (1976). MR 0394119 |
| Reference:
|
[2] Zehnder E.: An implicit function theorem for small divisor problems.Bull. Amer. Math. Soc. 80 174-179 (1974). Zbl 0281.35002, MR 0339259 |
| Reference:
|
[3] Petzeltová H., Vrbová P.: A remark on small divisors problems.Czech. Math. J. 28 (103) 1-12 (1978). MR 0482803 |
| Reference:
|
[4] Korec I.: On a problem of V. Pták.Časopis pro pěstování matematiky 103 365-379 (1978). Zbl 0429.26001, MR 0512233 |
| . |
