The fixed point index for noncompact mappings in non locally convex topological vector spaces

Holger Alex; Siegfried Hahn; Lothar Kaniok

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 2, page 249-257
  • ISSN: 0010-2628

Abstract

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We introduce the relative fixed point index for a class of noncompact operators on special subsets of non locally convex spaces.

How to cite

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Alex, Holger, Hahn, Siegfried, and Kaniok, Lothar. "The fixed point index for noncompact mappings in non locally convex topological vector spaces." Commentationes Mathematicae Universitatis Carolinae 35.2 (1994): 249-257. <http://eudml.org/doc/247565>.

@article{Alex1994,
abstract = {We introduce the relative fixed point index for a class of noncompact operators on special subsets of non locally convex spaces.},
author = {Alex, Holger, Hahn, Siegfried, Kaniok, Lothar},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {fixed point index; admissible sets; compact reducible and $(\varphi , \gamma )$-condensing operators; $\varphi $-measure of noncompactness; admissible sets; compact reducible and -condensing operators; measure of noncompactness; relative fixed point index; noncompact operators; special subsets of non-locally convex spaces},
language = {eng},
number = {2},
pages = {249-257},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The fixed point index for noncompact mappings in non locally convex topological vector spaces},
url = {http://eudml.org/doc/247565},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Alex, Holger
AU - Hahn, Siegfried
AU - Kaniok, Lothar
TI - The fixed point index for noncompact mappings in non locally convex topological vector spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 2
SP - 249
EP - 257
AB - We introduce the relative fixed point index for a class of noncompact operators on special subsets of non locally convex spaces.
LA - eng
KW - fixed point index; admissible sets; compact reducible and $(\varphi , \gamma )$-condensing operators; $\varphi $-measure of noncompactness; admissible sets; compact reducible and -condensing operators; measure of noncompactness; relative fixed point index; noncompact operators; special subsets of non-locally convex spaces
UR - http://eudml.org/doc/247565
ER -

References

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  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). (1969) 
  2. Hadzic O., Fixed Point Theory in Topological Vector Spaces, Novi Sad, 1984. Zbl0576.47030MR0789224
  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). (1984) Zbl0595.47044MR0850239
  4. Hadzic O., Some properties of measures of noncompactness in paranormed spaces, Proc. Amer. Math. Soc. 102 (1988), 843-849. (1988) Zbl0653.47034MR0934854
  5. Hahn S., Fixpunktsätze für limeskompakte mengenwertige Abbildungen in nicht notwendig lokalkonvexen topologischen Vektorräumen, Comment. Math. Univ. Carolinae 27 (1986), 189-204. (1986) Zbl0601.47048MR0843430
  6. Hahn S., Riedrich T., Der Abbildungsgrad kompakter Vektorfelder in nicht notwendig lokalkonvexen topologischen Vektorräumen, Wiss. Z. Techn. Univ. Dresden 22 (1973), 37-42. (1973) Zbl0264.47044MR0320835
  7. Jerofsky T., Zur Fixpunkttheorie mengenwertiger Abbildungen, Dissertation, TU Dresden, 1983. 
  8. Kaballow W., Zum Abbildungsgrad in Hausdorffschen topologischen Vektorräumen, Manuscripta Math. 8 (1973), 209-216. (1973) MR0358461
  9. Kaniok L., On measures of noncompactness in general topological vector spaces, Comment. Math. Univ. Carolinae 31 (1990), 479-487. (1990) Zbl0738.47051MR1078482
  10. Kayser G., Zur relativen Drehung in Hausdorffschen topologischen Vektorräumen, Wiss. Z. Techn. Univ. Dresden 23 (1974), 335-340. (1974) Zbl0285.47043MR0348564
  11. Krasnoselskii M.A., Zabreiko P.P., Geometrical Methods in the Nonlinear Analysis (in Russian), Moscow, 1975. 
  12. Krauthausen C., Der Fixpunktsatz von Schauder in nicht notwendig lokalkonvexen Räumen sowie Anwendungen auf Hammersteinsche Gleichungen, Dissertation, TH Aachen, 1976. 

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