Fixed point theorems for condensing multifunctions
HTML articles powered by AMS MathViewer
- by C. J. Himmelberg, J. R. Porter and F. S. Van Vleck
- Proc. Amer. Math. Soc. 23 (1969), 635-641
- DOI: https://doi.org/10.1090/S0002-9939-1969-0246175-1
- PDF | Request permission
References
- C. Berge, Topological spaces, Macmillan, New York, 1963.
N. Bourbaki, General topology. Part I, Addison-Wesley, Reading, Mass., 1966.
- Felix E. Browder, On a generalization of the Schauder fixed point theorem, Duke Math. J. 26 (1959), 291–303. MR 105629
- Ky. Fan, Fixed-point and minimax theorems in locally convex topological linear spaces, Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 121–126. MR 47317, DOI 10.1073/pnas.38.2.121
- K. Kuratowski, Topology. Vol. I, Academic Press, New York-London; Państwowe Wydawnictwo Naukowe [Polish Scientific Publishers], Warsaw, 1966. New edition, revised and augmented; Translated from the French by J. Jaworowski. MR 0217751
- Ernest Michael, Topologies on spaces of subsets, Trans. Amer. Math. Soc. 71 (1951), 152–182. MR 42109, DOI 10.1090/S0002-9947-1951-0042109-4
- E. Michael, A theorem on semi-continuous set-valued functions, Duke Math. J. 26 (1959), 647–651. MR 109343
- E. Michael, A selection theorem, Proc. Amer. Math. Soc. 17 (1966), 1404–1406. MR 203702, DOI 10.1090/S0002-9939-1966-0203702-5
- B. N. Sadovskiĭ, On a fixed point principle, Funkcional. Anal. i Priložen. 1 (1967), no. 2, 74–76 (Russian). MR 0211302 J. Schauder, Der Fixpunktsatz in Funktionalräumen, Studia Math. 2 (1930), 171-180.
- A. Tychonoff, Ein Fixpunktsatz, Math. Ann. 111 (1935), no. 1, 767–776 (German). MR 1513031, DOI 10.1007/BF01472256
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 23 (1969), 635-641
- MSC: Primary 47.85; Secondary 54.00
- DOI: https://doi.org/10.1090/S0002-9939-1969-0246175-1
- MathSciNet review: 0246175