| Title:
|
A counter-example to some recent existence results on implicit variational inequalities (English) |
| Author:
|
Cubiotti, Paolo |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
415-418 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this note we prove that some recent results on an implicit variational inequality problem for multivalued mappings, which seem to extend and improve some well-known and celebrated results, are not correct. (English) |
| Keyword:
|
quasi-variational inequalities |
| Keyword:
|
lower semicontinuity |
| Keyword:
|
partition of unity |
| Keyword:
|
minimax |
| MSC:
|
49J40 |
| idZBL:
|
Zbl 0863.49009 |
| idMR:
|
MR1399016 |
| . |
| Date available:
|
2009-01-08T18:24:53Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118846 |
| . |
| Reference:
|
[1] Fu J.: Implicit variational inequalities for multivalued mappings.J. Math. Anal. Appl. 189 (1995), 801-814. Zbl 0830.49006, MR 1312554 |
| Reference:
|
[2] Mosco U.: Implicit variational problems and quasivariational inequalities.in Lecture Notes in Math., vol. 543, Springer-Verlag, Berlin, 1976, pp. 83-156. MR 0513202 |
| Reference:
|
[3] Shih M.H., Tan K.K.: Generalized quasi-variational inequalities in locally convex topological vector spaces.J. Math. Anal. Appl. 108 (1985), 333-343. MR 0793650 |
| Reference:
|
[4] Aubin J.P., Frankowska H.: Set-Valued Analysis.Birkhäuser, Boston, 1990. Zbl 1168.49014, MR 1048347 |
| Reference:
|
[5] Cubiotti P.: An existence theorem for generalized quasi-variational inequalities.Set-Valued Anal. 1 (1993), 81-87. Zbl 0781.49006, MR 1230371 |
| . |
