Fixed point theorems for limit compact set valued maps in non necessarily locally convex topological vector spaces

Siegfried Hahn

Commentationes Mathematicae Universitatis Carolinae (1986)

  • Volume: 027, Issue: 1, page 189-204
  • ISSN: 0010-2628

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Hahn, Siegfried. "Fixpunktsätze für limeskompakte mengenwertige Abbildungen in nicht notwendig lokalkonvexen topologischen Vektorräumen." Commentationes Mathematicae Universitatis Carolinae 027.1 (1986): 189-204. <http://eudml.org/doc/17448>.

@article{Hahn1986,
author = {Hahn, Siegfried},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {non necessarily locally convex topological vector spaces; limit compact and condensing maps; set valued map; fixed point; measure of noncompactness; Schauder principle},
language = {ger},
number = {1},
pages = {189-204},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Fixpunktsätze für limeskompakte mengenwertige Abbildungen in nicht notwendig lokalkonvexen topologischen Vektorräumen},
url = {http://eudml.org/doc/17448},
volume = {027},
year = {1986},
}

TY - JOUR
AU - Hahn, Siegfried
TI - Fixpunktsätze für limeskompakte mengenwertige Abbildungen in nicht notwendig lokalkonvexen topologischen Vektorräumen
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1986
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 027
IS - 1
SP - 189
EP - 204
LA - ger
KW - non necessarily locally convex topological vector spaces; limit compact and condensing maps; set valued map; fixed point; measure of noncompactness; Schauder principle
UR - http://eudml.org/doc/17448
ER -

References

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  2. DANEŠ J., Generalized concentrative mappings and their fixed points, Comment. Math. Univ. Carolinae 11 (1970), 115-136. (1970) MR0263063
  3. DANEŠ J., On densifying and related mappings and their application in nonlinear functional analysis, in: Theory of Nonlinear Operators, Proceedings of a summer-school 1972, Neuendorf, GDR (1974), 11-56. (1972) MR0361946
  4. HADŽIĆ O., Fixed point theory in topological vector spaces, Novi Sad 1984. (1984) MR0789224
  5. HADŽIĆ O., A Leray-Schauder principle for multivalued mappings in topological vector spaces, Zb. rad. Prir. -mat. fak. Novi Sad, ser. mat. 12 (1982), 19-29. (1982) MR0735743
  6. HADŽIĆ O., On Sadovski's fixed point theorem in topological vector spaces, Comm. Math. Vol. XXIV, No. 1 (1983), 51-55. (1983) MR0759054
  7. HAHN S., A remark on a fixed point theorem for condensing set-valued mappings, TU Dresden, Informationen 07-5-77. 
  8. HAHN S., Gebietsinvarianzsatz und Eigenwertaussagen für konzentrierende Abbildungen, Comment. Math. Univ. Carolinae 18 (1977), 697-713. (1977) Zbl0375.47029MR0474385
  9. HAHN S., Zur Theorie nichtlinearer Operatorengleichungen in topologischen Vektorräumen, Dissertation B, TU Dresden 1978. (1978) 
  10. HAHN S., Zur Bedeutung des Fixpunktsatzes von Schauder für die Fixpunkttheorie nicht notwendig kompakter Abbildungen, Beiträge zur Analysis 16 (1981), 105-119. (1981) Zbl0561.47043MR0663474
  11. JEROFSKY T., Zur Fixpunkttheorie mengenwertiger Abbildungen, Dissertation A, TU Dresden 1983. (1983) 
  12. KRASNOSELSKIJ M.A., ZABREJKO P.P., Geometrische Methoden in der nichtlinearen Analysis, Moskau 1975 (russisch). (1975) 
  13. KRAUTHAUSEN C., Der Fixpunktsatz von Schauder in nicht notwendig konvexen Räumen sowie Anwendungen auf Hammersteinsche Gleichungen, Dissertation, TH Aachen, 1976. (1976) 
  14. NUSSBAUM R. D., The fixed point index for local condensing maps, Annali di Mat. Pura Appl. 89 (1971), 217-258. (1971) Zbl0226.47031MR0312341
  15. PETRYSHYN W. V., FITZPATRICK P. M., A degree theory, fixed point theorems, and mapping theorems for multivalued noncompact mappings, Transact. Amer. Math. Soc. 194 (1974), 1-25. (194) MR2478129
  16. POTAPOV A. S., Zur Theorie der Rotation von limeskompakten Vektorfeldern, (russisch), Comment. Math. Univ. Carolinae 15 (1974), 693-716. (1974) 
  17. RIEDRICH T., Vorlesungen über nichtlineare Operatorengleichungen, Teubner-Texte zur Mathematik, Leipzig 1976. (1976) Zbl0332.47026MR0467414
  18. SADOWSKI B. N., Limeskompakte und kondensierende Abbildungen, U.M.N. 27 (1972), 85-155 (russisch). (1972) 
  19. SCHÖNEBERG R., Fixpunktsätze für einige Klassen kontraktionsartiger Operatoren in Banaehräumen. Über einen Fixpunktindex, eine Zentrumsmethode und die Fixpunkttheorie nichtexpansiver Abbildungen, Dissertation Aachen 1977. (1977) 
  20. ZIMA K., On Schauder's fixed point theorem with respect to paranormed space, Comm. Math. 19 (1977), 421-423. (1977) MR0458260

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