| Title:
|
Stability and invariance of multivalued iterated function systems (English) |
| Author:
|
Leśniak, Krzysztof |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
53 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
393-405 |
| . |
| Category:
|
math |
| . |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 1072.54030 |
| idMR:
|
MR2025472 |
| . |
| Date available:
|
2009-09-25T14:16:13Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130110 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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[BG] DE BLASI F. S.-GEORGIEV P. GR.: Hukuhara's topological degree for non compact valued multifunctions.Publ. Res. Inst. Math. Sci. 39 (2003), 183-203. Zbl 1048.47045, MR 1935246 |
| Reference:
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[CV] CASTAING C.-VALADIER M.: Convex Analysis and Measurable Multifunctions.Lecture Notes in Math. 580, Springer-Verlag, Berlin-New York, 1977. Zbl 0346.46038, MR 0467310 |
| Reference:
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[D] DEIMLING K.: Nonlinear Functional Analysis.Springer-Verlag, Berlin, 1985. Zbl 0559.47040, MR 0787404 |
| Reference:
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[E] ENGELKING R.: Outline of General Topology.Noгth-Holland; PWN, Amsterdam; Warszawa, 1968. Zbl 0157.53001, MR 0230273 |
| Reference:
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[GN] GÓRNIEWICZ L.-ROZPLOCH-NOWAKOWSKA D.: On the Schauder fixed poгnt theorem.In: Topology in Nonlinear Analysis (K. Geba et al., eds.), Banach Center Publ. 35, Polish Acad. of Sci., Inst. of Math., Warszawa, 1996, pp. 207-219. |
| Reference:
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[H] HALE J. K.: Asymptotic Behavior of Dissipative Systems.Math. Surveys Monographs 25, Amer. Math. Soc, Providence, RI, 1988. Zbl 0642.58013, MR 0941371 |
| Reference:
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[Ha] HAYASHI S.: Self-similar sets as Tarski's fixed points.Publ. Res. Inst. Math. Sci. 21 (1985), 1059-1066. Zbl 0618.54030, MR 0817158 |
| Reference:
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[HP] HU S.-PAPAGEORGЮU N. S.: Handbook of Multivalued Analysis.Vol. I: Theory. Math. Appl., Kluwer Academic Publishers, Dordrecht, 1997. Zbl 0887.47001, MR 1485775 |
| Reference:
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[Hu] HUTCHINSON J. E.: Fractals and Self Similarity.Indiana Univ. Math. J. 30 (1981), 713-747. Zbl 0598.28011, MR 0625600 |
| Reference:
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[JGP] JACHYMSKI J.-GAJEK L.-POKAROWSKI P.: The Tarski-Kantorovitch Principle and the theory of iterated function systems.Bull. Austral. Math. Soc. 61 (2000), 247-261. Zbl 0952.54029, MR 1748704 |
| Reference:
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[Ki] KIENINGER B.: Iterated Function Systems on Compact Hausdorff Spaces.Ph.D. Thesis, Institut für Mathematik der Mathematisch-Naturwissenschaftliche Fakultät der Universität Augsburg, 2002. Zbl 1019.54020 |
| Reference:
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[K] KURATOWSKI K.: Introduction to the Theory of Sets and Topology.Biblioteka Matematyczna, PWN, Warszawa, 1977. (Polish) MR 0643830 |
| Reference:
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[LM] LASOTA A.-MYJAK J.: Attractors of multifunctions.Bull. Polish Acad. Sci. Math. 48 (2000), 319-334. Zbl 0962.28004, MR 1779014 |
| Reference:
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[L] LEŚNIAK K.: Extremal sets as fractals.Nonlinear Anal. Forum 7 (2002), 199-208. Zbl 1161.54301, MR 1959879 |
| Reference:
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[COZ] CONTI G.-OBUKHOVSKII V.-ZECCA P.: On the topological structure of the solution set for a semilinear functional-differential inclusion in a Banach space.In: Topology in Nonlinear Analysis. Banach Center Publ. 35, Polish Acad. Sci., Warszaw, 1996, pp. 159-169. Zbl 0845.34027, MR 1448435 |
| Reference:
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[L2] LEŚNIAK K.: Towards computing Lifshits constant for hyperspaces.Sem. Fixed Point Theory Cluj-Napoca (To appear). Zbl 1054.54029, MR 2031385 |
| . |
