| Title:
|
On a class of discontinuous operators in Hilbert spaces (English) |
| Author:
|
Boscarino, Sebastiano |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
197-202 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We construct a class of discontinuous operators in infinite-dimensional separable Hilbert spaces, answering a natural question which arises in comparing a fixed point theorem of Altman and Shinbrot ([1], [4]) with its improvement obtained by Ricceri ([2], [3]). (English) |
| Keyword:
|
fixed point |
| Keyword:
|
Hilbert space |
| Keyword:
|
weak topology |
| Keyword:
|
discontinouous operator |
| MSC:
|
47H10 |
| idZBL:
|
Zbl 1129.47309 |
| idMR:
|
MR2026157 |
| . |
| Date available:
|
2009-01-08T19:28:43Z |
| Last updated:
|
2020-02-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119379 |
| . |
| Reference:
|
[1] Altman M.: A fixed point theorem in Hilbert space.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 5 (1957), 19-22. Zbl 0077.31902, MR 0087064 |
| Reference:
|
[2] Ricceri B.: Un théorème d'existence pour les inéquations variationnelles.C.R. Acad. Sci. Paris, Série I 301 (1985), 885-888. Zbl 0606.49006, MR 0823146 |
| Reference:
|
[3] Ricceri B.: Existence theorems for nonlinear problems.Rend. Accad. Naz. Sci. XL 11 (1987), 77-99. Zbl 0643.47058, MR 0930860 |
| Reference:
|
[4] Shinbrot M.: A fixed point theorem, and some applications.Arch. Rational Mech. Anal. 17 (1964), 255-271. Zbl 0156.38502, MR 0169068, 10.1007/BF00282289 |
| . |
