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Title: A note on the continuity properties of nonlinear operators (English)
Author: Kolomý, Josef
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 8
Issue: 3
Year: 1967
Pages: 503-514
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Category: math
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MSC: 47-80
MSC: 47Hxx
idZBL: Zbl 0176.45501
idMR: MR0222726
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Date available: 2008-06-05T20:25:55Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105130
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Reference: [1] М. М. ВАЙНБЕРГ: Вариационные методы исследования нелинейных операторов.Москва 1956. Zbl 0995.90522
Reference: [2] Э. С. ЦИТЛАНАДЗЕ: О дифференцировании функционалов.Мат. сборник 29 (71): 1 (1951), 3-12. Zbl 1165.94313, MR 0043375
Reference: [3] E. H. ROTHE: Gradient mappings in Hilbert space.Ann. of Math. 47 (1946), No 3, 580-592. Zbl 0060.28203, MR 0017469
Reference: [4] М. М. ВАЙНБЕРГ: Некоторые вопросы дифференциального исчисления в линейных пространствах.Усп. мат. наук 7 (1952), вып. 4, 55-102. Zbl 1145.11324, MR 0050800
Reference: [5] М. И. КАДЕЦ: О некоторых свойствах потенциальных операторов в рефлективных сепарабельных пространствах.Усп. мат. наук 15 (1960), Nо. 2, 104-107. Zbl 1004.90500, MR 0131188
Reference: [6] T. KATO: Demicontinuity, hemicontinuity and monotonicity.Bull. Am. Math. Soc. 70 (1964), No 4, 548-550. Zbl 0123.10701, MR 0163198
Reference: [7] F. E. BROWDER: Continuity properties of monotone nonlinear operators in Banach spaces.Bull. Am. Math. Soc. 70 (1964), No 4, 551-553. Zbl 0123.10702, MR 0163199
Reference: [8] W. V. PETRYSHYN: On the extension and the solution of nonlinear operator equations.Illinois Journ. Math. Vol. 10 (1966), 2, 255-274. Zbl 0139.31503, MR 0208432
Reference: [9] F. E. BROWDER: Further remarks on nonlinear functional equations.Illinois Journ. Math. Vol. 10 (1966), 2, 275-286. Zbl 0148.13501, MR 0208433
Reference: [10] F. E. BROWDER: Multivalued monotone nonlinear mappings and duality mappings in Banach spaces.Trans. Am. Math. Soc. Vol. 118 (1965), 6, 338-351. MR 0180884
Reference: [11] P. И. КАГУРОВСКИЙ: О монотонных операторах и выпуклых пространствах.Усп. мат. наук 15 (1960), No 4, 213-215. Zbl 1004.90500, MR 0132641
Reference: [12] G. J. MINTY: Monotone (nonlinear) operators in Hilbert space.Duke Math. J. Vol. 29 (1962), 341-346. Zbl 0111.31202, MR 0169064
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