| Title:
|
The fixed point index for noncompact mappings in non locally convex topological vector spaces (English) |
| Author:
|
Alex, Holger |
| Author:
|
Hahn, Siegfried |
| Author:
|
Kaniok, Lothar |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
249-257 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce the relative fixed point index for a class of noncompact operators on special subsets of non locally convex spaces. (English) |
| Keyword:
|
fixed point index |
| Keyword:
|
admissible sets |
| Keyword:
|
compact reducible and $(\varphi, \gamma )$-condensing operators |
| Keyword:
|
$\varphi $-measure of noncompactness |
| MSC:
|
47H09 |
| MSC:
|
47H10 |
| MSC:
|
47H11 |
| idZBL:
|
Zbl 0807.47038 |
| idMR:
|
MR1286571 |
| . |
| Date available:
|
2009-01-08T18:10:41Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118663 |
| . |
| Reference:
|
[1] Borisovitch Iu.G.: On the relative rotation of compact vector fields in linear spaces (in Russian).Trudy seminara pro funkc. analyzu 12 (1969), 3-27 (Voronesh). |
| Reference:
|
[2] Hadzic O.: Fixed Point Theory in Topological Vector Spaces.Novi Sad, 1984. Zbl 0576.47030, MR 0789224 |
| Reference:
|
[3] Hadzic O.: Fixed point theorems for multivalued mappings in not necessarily locally convex topological vector spaces.Zb. rad. Prir.-mat. fak. Novi Sad, ser. mat. 14 (1984). Zbl 0595.47044, MR 0850239 |
| Reference:
|
[4] Hadzic O.: Some properties of measures of noncompactness in paranormed spaces.Proc. Amer. Math. Soc. 102 (1988), 843-849. Zbl 0653.47034, MR 0934854 |
| Reference:
|
[5] Hahn S.: Fixpunktsätze für limeskompakte mengenwertige Abbildungen in nicht notwendig lokalkonvexen topologischen Vektorräumen.Comment. Math. Univ. Carolinae 27 (1986), 189-204. Zbl 0601.47048, MR 0843430 |
| Reference:
|
[6] Hahn S., Riedrich T.: Der Abbildungsgrad kompakter Vektorfelder in nicht notwendig lokalkonvexen topologischen Vektorräumen.Wiss. Z. Techn. Univ. Dresden 22 (1973), 37-42. Zbl 0264.47044, MR 0320835 |
| Reference:
|
[7] Jerofsky T.: Zur Fixpunkttheorie mengenwertiger Abbildungen.Dissertation, TU Dresden, 1983. |
| Reference:
|
[8] Kaballow W.: Zum Abbildungsgrad in Hausdorffschen topologischen Vektorräumen.Manuscripta Math. 8 (1973), 209-216. MR 0358461 |
| Reference:
|
[9] Kaniok L.: On measures of noncompactness in general topological vector spaces.Comment. Math. Univ. Carolinae 31 (1990), 479-487. Zbl 0738.47051, MR 1078482 |
| Reference:
|
[10] Kayser G.: Zur relativen Drehung in Hausdorffschen topologischen Vektorräumen.Wiss. Z. Techn. Univ. Dresden 23 (1974), 335-340. Zbl 0285.47043, MR 0348564 |
| Reference:
|
[11] Krasnoselskii M.A., Zabreiko P.P.: Geometrical Methods in the Nonlinear Analysis (in Russian).Moscow, 1975. |
| Reference:
|
[12] Krauthausen C.: Der Fixpunktsatz von Schauder in nicht notwendig lokalkonvexen Räumen sowie Anwendungen auf Hammersteinsche Gleichungen.Dissertation, TH Aachen, 1976. |
| . |
