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Article

Title: On the continuity properties of nonlinear operators and functionals (English)
Author: Kolomý, Josef
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 10
Issue: 2
Year: 1969
Pages: 241-260
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Category: math
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MSC: 46-45
MSC: 47-00
MSC: 47Hxx
idZBL: Zbl 0176.45502
idMR: MR0248523
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Date available: 2008-06-05T20:30:21Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105231
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Reference: [1] M. M. VAJNBERG: Variacionnyje metody issledovanija nelinejnych operatorov.Moskva 1956.
Reference: [2] E. S. CITLANADZE: O differencirovanii funkcionalov.Matem. sb. 29 (71) (1951), 3-12. MR 0043375
Reference: [3] E. H. ROTHE: Gradient mappings in Hilbert space.Ann. of Math. 47 (1946), 580-592. Zbl 0060.28203, MR 0017469
Reference: [4] M. I. KADEC: O nekotorych svojstvach potencial'nych operatorov v refleksivnych separabel'nych prostranstvach.Izv. vysš. učeb. zaved., mat., 15 (1960), 104-107. MR 0131188
Reference: [5] V. I. ANOSOV: Obobščenija teorem E. S. Citlanadze o svojstvach gradientov slabo nepreryvnych funkcionalov.Trudy sem. po funkc. analizu. Voroněž 1958, vyp. 6, 1-11.
Reference: [6] J. KOLOMÝ: A note on the continuity properties of nonlinear operators.Comment. Math. Univ. Carolinae 8 (1967), 503-514. MR 0222726
Reference: [7] J. KOLOMÝ: Gradient maps and boundedness of Gâteaux differentials.Comment. Math. Univ. Carolinae 9 (1968), 613-625. MR 0247464
Reference: [8] J. KOLOMÝ V. ZIZLER: Remarks on the differentiability of mappings in linear normed spaces.Comment. Math. Univ. Carolinae 8 (1967), 691-704. MR 0234279
Reference: [9] M. A. KRASNOSELSKIJ: Topologičeskije metody v teorii nelinejnych integralnych uravnenij.Moskva 1956.
Reference: [10] J. DANEŠ J. KOLOMÝ: On the continuity and differentiability properties of convex functionals.Comment. Math. Univ. Carolinae 9 (1968), 329-350. MR 0239415
Reference: [11] J. KOLOMÝ: On the differentiability of operators and convex functionals.Comment. Math. Univ. Carolinae 9 (1968), 441-454. MR 0238077
Reference: [12] J. KOLOMÝ: On the differentiability of mappings and convex functionals.Comment. Math. Univ. Carolinae 8 (1967), 735-752. A correction, ibid 9 (1968), 197. MR 0243348
Reference: [13] E. ASPLUND: Fréchet differentiability of convex functions.Acta Math. 121 (1968), 30-47. Zbl 0162.17501, MR 0231199
Reference: [14] J. KOLOMÝ: Differentiability of convex functionals tors and functionals.Comment. Math. Univ. Carolinae 10 (1969), 91-114. MR 0248522
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