The eigenvalue theorem of Krasnoselski for -set contraction mappings
Commentationes Mathematicae Universitatis Carolinae (1981)
- Volume: 022, Issue: 2, page 413-427
- ISSN: 0010-2628
Access Full Article
top
How to cite
topJerofsky, Thomas. "Das Eigenwerttheorem von Krasnoselski für $k$-kondensierende Abbildungen." Commentationes Mathematicae Universitatis Carolinae 022.2 (1981): 413-427. <http://eudml.org/doc/17119>.
@article{Jerofsky1981,
author = {Jerofsky, Thomas},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {eigenvalues; fixed points; k-set contractions},
language = {ger},
number = {2},
pages = {413-427},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Das Eigenwerttheorem von Krasnoselski für $k$-kondensierende Abbildungen},
url = {http://eudml.org/doc/17119},
volume = {022},
year = {1981},
}
TY - JOUR
AU - Jerofsky, Thomas
TI - Das Eigenwerttheorem von Krasnoselski für $k$-kondensierende Abbildungen
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1981
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 022
IS - 2
SP - 413
EP - 427
LA - ger
KW - eigenvalues; fixed points; k-set contractions
UR - http://eudml.org/doc/17119
ER -
References
top- G. D. BIRKHOFF O. D. KELLOGG, Invariant points in function spaces, Trans. Amer. Math. Soc. 23 (1922), 95-115. (1922) MR1501192
- S. J. DAHER, Fixed point theorems for nonlinear operators with a sequential condition, Nonlin. Analysis, Theory Methods and Appl. 3 (1979), No 1, 59-63. (1979) Zbl0424.47036MR0520472
- J. DANEŠ, On densifying and related mappings and their applications in nonlinear functional analysis, Proc. of a Summer school 1972 Neuendorf, GDR, Berlin 1974. (1972) MR0361946
- P. M. FITZPATRICK W. V. PETRYSHY, Positive eigenvalues for nonlinear multivalued noncompact operators with applications to differential operators, Journ. Diff. Equ., New York - London 22 (1976), 428-441. (1976) MR0435958
- S. HAHN, Eigenwertaussagen für kompakte und kondensierende mengenwertige Abbildungen in topologischen Vektorräumen, Comment. Math. Univ. Carolinae 20 (1979). (1979) Zbl0442.47038MR0526153
- T. JEROFSKY, Übeг Existenzaussagen für kondensierende Abbildungen, Wiss. Z. Techn. Univ. Dresden 28 (1979) H 5, 1183-1187. (1979) MR0567631
- V. KLEE, Schrinkable neighborhoods in Hausdorff linear spaces, Math. Ann. 141 (1960), 281-285. (1960) MR0131149
- M. A. KRASNOSELSKI, Polozitelnye resenia operatornych uravnenii, Moskau, Fizmatgiz 1962. (1962)
- K. KURATOWSKI, Sur les espaces complets, Fund. Math. 15 (1930), 301-309. (1930)
- M. LANDSBERG T. RIEDRICH, Über positive Eigenwerte kompakter Abbildungen in topologischen Vektorräumen, Math. Ann. 163 (1966), 50-61. (1966) MR0196546
- M. MARTELLI, A Rothe's type theorem for noncompact acyclic-valued maps, Proc. of the conference on problems in nonlin. funct. anal. Universität Bonn, July 22-26, 1975. Ber. Ges. f. Math. u. Datenverarb. Bonn No 103 (1975). (1975) Zbl0333.47025
- I. MASSABO C. A. STUART, Positive eigenvectors of -set contractions, Nonlin. Analysis, Theory, Methods and Appl. 3 (1979), No 1, 35-44. (1979) MR0520468
- R. D. NUSSBAUM, Asymptotic fixed point theorems for local condensing maps, Math. Ann. 191 (1971), 181-195. (191) MR0298502
- S. REICH, Characteristic vectors of nonlinear operators, Rend. Accad. Naz. Lincei 50 (1971), 682-685. (1971) Zbl0231.47042MR0306987
- J. REINERMANN, Problems, Mathematica Balcanica 4. 96 (1974), 516. (1974)
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.