A theorem on homeomorphism of k -set contractive vector fields

Siegfried Hahn

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 3, page 563-572
  • ISSN: 0010-2628

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Hahn, Siegfried. "Homöomorphieaussagen für $k$-verdichtende Vektorfelder." Commentationes Mathematicae Universitatis Carolinae 021.3 (1980): 563-572. <http://eudml.org/doc/17058>.

@article{Hahn1980,
author = {Hahn, Siegfried},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {condensing vectorfields; homeomorphisms},
language = {ger},
number = {3},
pages = {563-572},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Homöomorphieaussagen für $k$-verdichtende Vektorfelder},
url = {http://eudml.org/doc/17058},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Hahn, Siegfried
TI - Homöomorphieaussagen für $k$-verdichtende Vektorfelder
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 3
SP - 563
EP - 572
LA - ger
KW - condensing vectorfields; homeomorphisms
UR - http://eudml.org/doc/17058
ER -

References

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  1. S. BANACH S. MAZUR, Über mehrdeutige stetige Abbildungen, Studia Math. V (1934), 174-178. (1934) 
  2. J. DANEŠ, 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, 15-56. (1972) MR0361946
  3. S. HAHN, Gebietsinvarianzsatz und Eigenwertaussagen für konzentrierende Abbildungen, Comment. Math. Univ. Carolinae 18 (1977), 697-713. (1977) Zbl0375.47029MR0474385
  4. R. NUSSBAUM, Degree theory for local condensing maps, Journ. Math. Anal. Appl. 37 (1972), 741-766. (1972) Zbl0232.47062MR0306986
  5. W. V. PETRYSHYN, Remarks on condensing and k-set-contractive mappings, J. Math. Anal. Appl. 39 (1972), 717-741. (1972) Zbl0238.47041MR0328687
  6. W. V. PETRYSHYN P. M. FITZPATRICK, A degree theory, fixed point theorems, and mapping theorems for multivalued noncompact mappings, Transactions Amer. Math. Soc. 194 (1974), 1-25. (194) MR2478129
  7. T. RIEDRICH, Vorlesungen über nichtlineare Operatoren-gleichungen, Teubner-Texte, Teubner-Verlag Leipzig 1976. (1976) MR0467414
  8. B. N. SADOWSKI, Asymptotically compact and densifying operators, Uspechi mat. nauk 27 (1972), 81-146 (russisch). (1972) 

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