| Title:
|
Some mapping theorems and solvability of nonlinear equations in Banach spaces (Preliminary communication) (English) |
| Author:
|
Kolomý, Josef |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
12 |
| Issue:
|
2 |
| Year:
|
1971 |
| Pages:
|
413-418 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46A30 |
| MSC:
|
47-80 |
| MSC:
|
47H10 |
| MSC:
|
47H15 |
| MSC:
|
47J05 |
| MSC:
|
47J25 |
| idZBL:
|
Zbl 0214.39005 |
| idMR:
|
MR0283638 |
| . |
| Date available:
|
2008-06-05T20:35:49Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105355 |
| . |
| Reference:
|
[1] F. BROWDER: On the Fredholm alternative for nonlinear operators.Bull. Am. Math. Soc. 76 (1970), 993-998. Zbl 0201.17902, MR 0265999 |
| Reference:
|
[2] H. BREZIS: Equations et inéquations non-linéaires dans les espaces vectoriels en dualité.Ann. Inst. Fourier (Grenoble) 18 (1968), 115-176. Zbl 0169.18602, MR 0270222 |
| Reference:
|
[3] W. V. PETRYSHYN: On existence theorems for nonlinear equations involving noncompact mappings.Proc. Nat. Acad. Sci. U. S. A. Vol. 76 (1970), 326-330. Zbl 0202.42803, MR 0268734 |
| Reference:
|
[4] M. KATĚTOV: O normovaných vektorových prostorech.Rozpravy II. tř. České akad. 53, a. 45 (1944), 1-27. MR 0024068 |
| Reference:
|
[5] L. M. GRAVES: Some mapping theorems.Duke Math. J. 17 (1950), 111-114. Zbl 0037.20401, MR 0035398 |
| Reference:
|
[6] R. G. BARTLE: On the openness and inversion of differentiate mappings.Ann. Acad. Sci. Fennicae I (Math.) 257 (1958), 8 pp. MR 0104172 |
| Reference:
|
[7] J. KOLOMÝ: Openness of nonlinear operators.(to appear). |
| Reference:
|
[8] L. P. BELLUCE W. A. KIRK: Some fixed point theorems in metric and Banach spaces.Canad. Math. Bull. 12 (1969), 481-491. MR 0250148 |
| Reference:
|
[9] W. A. KIRK: On nonlinear mappings of strongly semicontractive type.J .of Math. Anal. and Appl. 27 (1969), 409-412. Zbl 0183.15103, MR 0244814 |
| Reference:
|
[10] J. DANEŠ: Fixed point theorems, Nemyckii and Uryson operators and continuity of nonlinear mappings.Comment. Math. Univ. Carolinae 11 (1970), 481-500. MR 0283647 |
| . |
