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Article

Title: Sizes of sets and some fixed point theorems (English)
Author: Swaminathan, Srinivasa
Author: Thompson, Anthony C.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 12
Issue: 3
Year: 1971
Pages: 537-549
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Category: math
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MSC: 47H10
MSC: 54H25
idZBL: Zbl 0222.54055
idMR: MR0295168
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Date available: 2008-06-05T20:36:13Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105364
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Reference: [1] C. BERGE: Topological space.McMillan, New York, 1963.
Reference: [2] M. S. BRODSKII, D. P. MILMAN: On the center of a convex set.Dokl. Akad. Nauk SSSR (N.S.) 59 (1948), 837-840. MR 0024073
Reference: [3] F. E. BROWDER: Nonexpansive nonlinear operators in a Banach space.Proc. Nat. Acad. Sci. U.S.A. 54 (1965), 1041-1044. Zbl 0128.35801, MR 0187120
Reference: [4] J. DANEŠ: Generalized concentrative mappings and their fixed points.Comment. Math. Univ. Carolinae 11 (1970), 115-136. MR 0263063
Reference: [5] G. DARBO: Punti uniti trasformazioni a codomino noncompatto.Rend. Sem. Mat. Univ. Padova 24 (1955), 84-92. MR 0070164
Reference: [6] D. GÖHDE: Zum Prinzip der kontraktiven Abbildung.Math. Nachrichten 30 (1965), 251-258. MR 0190718
Reference: [7] L. S. GOLDŠTEIN I. C. GOHBERG, and A. S. MARKUS: On some properties of linear boonded operators in connection with their q-norms.(Russian). Uč. Zap. Kišinev. un-ta 29 (1957), 29-36.
Reference: [8] L. S. GOLDŠTEIN, A. S. MARKUS: On a measure of non-compactness of bounded sets and linear operators.Issled. po Algebre i Matem. Analizu, Kišinev (Russian), 1965.
Reference: [9] J. L. KELLEY: General Topology.Van Nostrand, 1955. Zbl 0066.16604, MR 0070144
Reference: [10] W. A. KIRK: A fixed point theorem for mappings which do not increase distance.Amer. Math. Monthly 72 (1965), 1004-1006. MR 0189009
Reference: [11] K. KURATOWSKI: Sur les espaces complets.Fundamenta Mathematicae 15 (1930), 300-309.
Reference: [12] B. N. SADOVSKII: A fixed point principle.Functional Anal. and Appl. l (1967), 151-153. MR 0211302
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