| Title:
|
Some fixed point theorems for multivalued mappings (English) |
| Author:
|
Šeda, Valter |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
39 |
| Issue:
|
1 |
| Year:
|
1989 |
| Pages:
|
147-164 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47H10 |
| idZBL:
|
Zbl 0674.47040 |
| idMR:
|
MR983492 |
| DOI:
|
10.21136/CMJ.1989.102287 |
| . |
| Date available:
|
2008-06-09T15:25:52Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102287 |
| . |
| Reference:
|
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| Reference:
|
[2] Choquet G.: Lectures on Analysis, Volume II. Representation Theory.W. A. Benjamin, Inc. New York, Amsterdam, 1969. MR 0250012 |
| Reference:
|
[3] Conti G. e Nistri P.: On surjectivity for $e$-quasibounded multivalued maps.Atti Acad. Naz. Lincei, Rend. Cl. Sci. fis. mat. nat. 61 (1976), 195-201. MR 0487642 |
| Reference:
|
[4] Day M. M.: Normed Linear Spaces.Springer-Verlag, Berlin - Göttingen-Heidelberg 1958 (Russian translation: Izdat. inostr. lit. Moscow, 1961). Zbl 0082.10603, MR 0094675 |
| Reference:
|
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| Reference:
|
[6] Dunford N., Schwartz J. T., Bade W. G., Bartle R. G.: Linear Operators. Part I: General Theory.Interscience Publishers, New York, London 1958 (Russian translation: Izdat. inostr. lit. Moscow 1962). MR 1009162 |
| Reference:
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[7] Edwards R. E.: Functional Analysis-Theory and Applications.Holt, Rinehart and Winston, New York 1965 (Russian translation: Izdat. Mir, Moscow, 1969). Zbl 0182.16101, MR 0221256 |
| Reference:
|
[8] Fan K.: Applications of a Theorem Concerning Sets with Convex Sections.Math. Ann. 163 (1966), 189-203. Zbl 0138.37401, MR 0190689, 10.1007/BF02052284 |
| Reference:
|
[9] Haščák A.: Fixed Point Theorems for Multivalued Mappings.Czech. Math. J. 35 (110) (1985), 533-542. MR 0809039 |
| Reference:
|
[10] Himmelberg J.: Fixed Points of Compact Multifunctions.J. Math. Anal. Appl. 38 (1972), 205-207. Zbl 0225.54049, MR 0303368, 10.1016/0022-247X(72)90128-X |
| Reference:
|
[11] Kapoor O. P.: On an Intersection Lemma.J. Math. Anal. and Appl. 45 (1974), 354-356. Zbl 0275.47035, MR 0352934, 10.1016/0022-247X(74)90077-8 |
| Reference:
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[12] Kelley J. L.: General Topology.Van Nostrand Co. Inc., New York, 1957 (Russian translation: Izdat. Nauka, Moscow, 1968). MR 0070144 |
| Reference:
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[13] Köthe K.: Topological Vector Spaces.I. Springer-Verlag, Berlin-Heidelberg-New York, 1969. MR 0248498 |
| Reference:
|
[14] Reich S.: A Remark on Set-Valued Mappings that Satisfy the Leray-Schauder Condition.Atti Accad. Naz. Lincei, Rend. Cl. Sci. fis. mat. nat. 61 (1976), 193-194. MR 0477902 |
| Reference:
|
[15] Robertson A. P., Robertson W.: Topological Vector Spaces.Cambridge Univ. Press 1964 (Russian translation: Izdat. Mir, Moscow, 1967). Zbl 0123.30202, MR 0162118 |
| Reference:
|
[16] Schaefer H. H.: Topological Vector Spaces.Mac Millan Co., New York, 1966 (Russian translation: Izdat. Mir, Moscow, 1971). Zbl 0141.30503, MR 0193469 |
| Reference:
|
[17] Schaefer H.: Über die Methode der a priori-Schranken.Math. Ann. 129 (1955), 415-416. Zbl 0064.35703, MR 0071723, 10.1007/BF01362380 |
| Reference:
|
[18] Seah S. W.: Asymptotic Equivalence of Multivalued Differential Systems.Boll. Un. Mat. Ital. (5), 17 (1980), 1124-1145. Zbl 0458.34009, MR 0770837 |
| Reference:
|
[19] Sehgal V. M., Singh S. P.: A Variant of a Fixed Point Theorem of Ky Fan.Indian J. Math. 25 (1983), 171-174. MR 0809248 |
| Reference:
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[20] Sobieszek W., Kowalski P.: On the Different Definitions of the Lower Semicontinuity, Upper Semicontinuity. Upper Semicompacity, Closity and Continuity of the Point-to-Set Maps.Demonstratio Mathematica, 11 (1978), 1053-1063. Zbl 0408.54001, MR 0529647, 10.1515/dema-1978-0419 |
| Reference:
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[21] Švec M.: Fixpunktsatz und monotone Lösungen der Differentialgleichung $y^{(n)} + B(x, y, y', \ldots, y^{(n-1)})y= 0$.Archivum Mathematicum (Brno), 2 (1966), 43-55. MR 0206368 |
| Reference:
|
[22] Taylor A. E.: Introduction to Functional Analysis.J. Wiley and Sons, Inc., New York, 1967 (Czech translation: Academia, Praha, 1973). MR 0098966 |
| Reference:
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[23] Yosida K.: Functional Analysis.Springer-Verlag, Berlin-Heidelberg-New York, 1980. Zbl 0435.46002, MR 0617913 |
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| . |
