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 |
. |
Category:
|
math |
. |
MSC:
|
47-80 |
MSC:
|
47Hxx |
idZBL:
|
Zbl 0176.45501 |
idMR:
|
MR0222726 |
. |
Date available:
|
2008-06-05T20:25:55Z |
Last updated:
|
2012-04-27 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105130 |
. |
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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