| Title:
|
Generalized quasivariational inequalities on Fréchet spaces (English) |
| Author:
|
O'Regan, Donal |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
35 |
| Issue:
|
3 |
| Year:
|
1999 |
| Pages:
|
245-254 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper generalized quasivariational inequalities on Fréchet spaces are deduced from new fixed point theory of Agarwal and O’Regan [1] and O’Regan [7]. (English) |
| Keyword:
|
variational inequalities |
| Keyword:
|
fixed points |
| MSC:
|
47H10 |
| MSC:
|
47J20 |
| MSC:
|
49J40 |
| MSC:
|
54C60 |
| idZBL:
|
Zbl 1048.47509 |
| idMR:
|
MR1725841 |
| . |
| Date available:
|
2008-06-06T22:23:20Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107699 |
| . |
| Reference:
|
[1] Agarwal R. P., O’Regan D.: Fixed points in Fréchet spaces and variational inequalities.Nonlinear Analysis, to appear. |
| Reference:
|
[2] Aliprantis C. D., Border K. C.: Infinite dimensional analysis.Springer Verlag, Berlin, 1994. Zbl 0839.46001, MR 1321140 |
| Reference:
|
[3] Dien N. H.: Some remarks on variational like and quasivariational like inequalities.Bull. Austral. Math. Soc. 46 (1992), 335–342. Zbl 0773.90071, MR 1183788 |
| Reference:
|
[4] Furi M., Pera P.: A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals.Ann. Polon. Math. 47 (1987), 331–346. Zbl 0656.47052, MR 0927581 |
| Reference:
|
[5] O’Regan D.: Generalized multivalued quasivariational inequalities.Advances Nonlinear Variational Inequalities, 1 (1998), 1–9. MR 1489854 |
| Reference:
|
[6] O’Regan D.: Fixed point theory for closed multifunctions.Archivum Mathematicum (Brno) 34 (1998), 191–197. Zbl 0914.47054, MR 1629701 |
| Reference:
|
[7] O’Regan D.: A multiplicity fixed point theorem in Fréchet spaces.to appear. Zbl 0970.47044 |
| Reference:
|
[8] Park S.: Fixed points of approximable maps.Proc. Amer. Math. Soc. 124 (1996), 3109–3114. Zbl 0860.47042, MR 1343717 |
| Reference:
|
[9] Park S., Chen M. P.: Generalized quasivariational inequalities.Far East J. Math. Sci. 3 (1995), 199–204. Zbl 0942.47053, MR 1385120 |
| Reference:
|
[10] Su C. H., Sehgal V. M.: Some fixed point theorems for condensing multifunctions in locally convex spaces.Proc. Amer. Math. Soc. 50 (1975), 150–154. Zbl 0326.47056, MR 0380530 |
| Reference:
|
[11] Tan K. K.: Comparison theorems on minimax inequalities, variational inequalities and fixed point theorems.Jour. London Maths. Soc. 28 (1983), 555–562. Zbl 0497.49010, MR 0724726 |
| Reference:
|
[12] Yuan X. Z.: The study of minimax inequalities and applications to economics and variational inequalities.Memoirs of Amer. Maths. Soc. Vol. 625, 1998. |
| . |
