@article{10_21136_CMJ_1989_102287,
author = {\v{S}eda, Valter},
title = {Some fixed point theorems for multivalued mappings},
journal = {Czechoslovak Mathematical Journal},
pages = {147--164},
year = {1989},
volume = {39},
number = {1},
doi = {10.21136/CMJ.1989.102287},
mrnumber = {983492},
zbl = {0674.47040},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1989.102287/}
}
TY - JOUR AU - Šeda, Valter TI - Some fixed point theorems for multivalued mappings JO - Czechoslovak Mathematical Journal PY - 1989 SP - 147 EP - 164 VL - 39 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1989.102287/ DO - 10.21136/CMJ.1989.102287 LA - en ID - 10_21136_CMJ_1989_102287 ER -
Šeda, Valter. Some fixed point theorems for multivalued mappings. Czechoslovak Mathematical Journal, Tome 39 (1989) no. 1, pp. 147-164. doi: 10.21136/CMJ.1989.102287
[1] Browder F. E.: The Fixed Point Theory of Multi-valued Mappings in Topological Vector Spaces. Math. Ann. 177 (1968), 283-301. | DOI | MR | Zbl
[2] Choquet G.: Lectures on Analysis, Volume II. Representation Theory. W. A. Benjamin, Inc. New York, Amsterdam, 1969. | MR
[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
[4] Day M. M.: Normed Linear Spaces. Springer-Verlag, Berlin - Göttingen-Heidelberg 1958 (Russian translation: Izdat. inostr. lit. Moscow, 1961). | MR | Zbl
[5] Deimling K.: Nonlinear Functional Analysis. Springer-Verlag, Berlin, Heidelberg, 1985. | MR | Zbl
[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
[7] Edwards R. E.: Functional Analysis-Theory and Applications. Holt, Rinehart and Winston, New York 1965 (Russian translation: Izdat. Mir, Moscow, 1969). | MR | Zbl
[8] Fan K.: Applications of a Theorem Concerning Sets with Convex Sections. Math. Ann. 163 (1966), 189-203. | DOI | MR | Zbl
[9] Haščák A.: Fixed Point Theorems for Multivalued Mappings. Czech. Math. J. 35 (110) (1985), 533-542. | MR
[10] Himmelberg J.: Fixed Points of Compact Multifunctions. J. Math. Anal. Appl. 38 (1972), 205-207. | DOI | MR | Zbl
[11] Kapoor O. P.: On an Intersection Lemma. J. Math. Anal. and Appl. 45 (1974), 354-356. | DOI | MR | Zbl
[12] Kelley J. L.: General Topology. Van Nostrand Co. Inc., New York, 1957 (Russian translation: Izdat. Nauka, Moscow, 1968). | MR
[13] Köthe K.: Topological Vector Spaces. I. Springer-Verlag, Berlin-Heidelberg-New York, 1969. | MR
[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
[15] Robertson A. P., Robertson W.: Topological Vector Spaces. Cambridge Univ. Press 1964 (Russian translation: Izdat. Mir, Moscow, 1967). | MR | Zbl
[16] Schaefer H. H.: Topological Vector Spaces. Mac Millan Co., New York, 1966 (Russian translation: Izdat. Mir, Moscow, 1971). | MR | Zbl
[17] Schaefer H.: Über die Methode der a priori-Schranken. Math. Ann. 129 (1955), 415-416. | DOI | MR | Zbl
[18] Seah S. W.: Asymptotic Equivalence of Multivalued Differential Systems. Boll. Un. Mat. Ital. (5), 17 (1980), 1124-1145. | MR | Zbl
[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
[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. | DOI | MR | Zbl
[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
[22] Taylor A. E.: Introduction to Functional Analysis. J. Wiley and Sons, Inc., New York, 1967 (Czech translation: Academia, Praha, 1973). | MR
[23] Yosida K.: Functional Analysis. Springer-Verlag, Berlin-Heidelberg-New York, 1980. | MR | Zbl
[24] Zeidler E.: Vorlesungen über nichtlineare Funktionalanalysis $I$-Fixpunktsätze. BSB B. G. Teubner Verlagsgeselschaft, Leipzig, 1976. | MR | Zbl
Cité par Sources :