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Title: On the points of multiplicity of monotone operators (English)
Author: Zajíček, Luděk
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 19
Issue: 1
Year: 1978
Pages: 179-189
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Category: math
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MSC: 47H05
MSC: 52A20
idZBL: Zbl 0404.47025
idMR: MR0493541
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Date available: 2008-06-05T20:57:47Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/105844
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Reference: [1] N. ARONSZAJN: Differentiability of Lipschitzian mappings between Banach spaces.Studia Math. 57 (1976), 147-190. Zbl 0342.46034, MR 0425608
Reference: [2] F. E. BROWDER: Multivalued monotone nonlinear mappings and duality mapping in Banach spaces.Trans. Amer. Math. Soc. 118 (1965), 338-351. MR 0180884
Reference: [3] M. FABIÁN: On singlevaluedness and (strong) upper semicontinuity of maximal monotone mappings.Comment. Math. Univ. Carolinae 18 (1977), 19-39. Zbl 0347.47027, MR 0442764
Reference: [4] P. S. KENDEROV: Monotone operators in Asplund spaces.preprint. Zbl 0377.47036, MR 0463981
Reference: [5] E. J. Mc SHANE: Extension of range of functions.Bull. Amer. Math. Soc. 40 (1934), 837-842. MR 1562984
Reference: [6] G. J. MINTY: On the extension of Lipschitz, Lipschitz-Hölder continuous and monotone functions.Bull. Amer. Math. Soc. 76 (1970), 334-339. Zbl 0191.34603, MR 0254575
Reference: [7] H. ROBERT: Une généralisation aux operateurs monotones des théorèmes de différentiabilité d'Asplund.Lecture Notes in Economics and Math. Systems vol. 102, Springer-Verlag 1974, 168-178. Zbl 0301.47040, MR 0482398
Reference: [8] L. ZAJÍČEK: On the differentiation of convex functions in finite and infinite dimensional spaces.to appear in Czechoslovak Math. J. MR 0536060
Reference: [9] E. H. ZARANTONELLO: Dense single-valuedness of monotone operators.Israel J. Math. 15 (1973), 158-166. Zbl 0274.47028, MR 0324490
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