On the points of multiplicity of monotone operators
Commentationes Mathematicae Universitatis Carolinae (1978)
- Volume: 019, Issue: 1, page 179-189
- ISSN: 0010-2628
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topZajíček, Luděk. "On the points of multiplicity of monotone operators." Commentationes Mathematicae Universitatis Carolinae 019.1 (1978): 179-189. <http://eudml.org/doc/16893>.
@article{Zajíček1978,
author = {Zajíček, Luděk},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Points of Multiplicity; Lipschitz Surfaces; Singular Boundary Points; Normals in Non-Exposed Points},
language = {eng},
number = {1},
pages = {179-189},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the points of multiplicity of monotone operators},
url = {http://eudml.org/doc/16893},
volume = {019},
year = {1978},
}
TY - JOUR
AU - Zajíček, Luděk
TI - On the points of multiplicity of monotone operators
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1978
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 019
IS - 1
SP - 179
EP - 189
LA - eng
KW - Points of Multiplicity; Lipschitz Surfaces; Singular Boundary Points; Normals in Non-Exposed Points
UR - http://eudml.org/doc/16893
ER -
References
top- N. ARONSZAJN, Differentiability of Lipschitzian mappings between Banach spaces, Studia Math. 57 (1976), 147-190. (1976) Zbl0342.46034MR0425608
- F. E. BROWDER, Multivalued monotone nonlinear mappings and duality mapping in Banach spaces, Trans. Amer. Math. Soc. 118 (1965), 338-351. (1965) MR0180884
- M. FABIÁN, On singlevaluedness and (strong) upper semicontinuity of maximal monotone mappings, Comment. Math. Univ. Carolinae 18 (1977), 19-39. (1977) Zbl0347.47027MR0442764
- P. S. KENDEROV, Monotone operators in Asplund spaces, preprint. Zbl0377.47036MR0463981
- E. J. Mc SHANE, Extension of range of functions, Bull. Amer. Math. Soc. 40 (1934), 837-842. (1934) MR1562984
- G. J. MINTY, On the extension of Lipschitz, Lipschitz-Hölder continuous and monotone functions, Bull. Amer. Math. Soc. 76 (1970), 334-339. (1970) Zbl0191.34603MR0254575
- 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. (1974) Zbl0301.47040MR0482398
- L. ZAJÍČEK, On the differentiation of convex functions in finite and infinite dimensional spaces, to appear in Czechoslovak Math. J. MR0536060
- E. H. ZARANTONELLO, Dense single-valuedness of monotone operators, Israel J. Math. 15 (1973), 158-166. (1973) Zbl0274.47028MR0324490
Citations in EuDML Documents
top- Luděk Zajíček, On the points of multivaluedness of metric projections in separable Banach spaces
- Marco Castelpietra, Ludovic Rifford, Regularity properties of the distance functions to conjugate and cut loci for viscosity solutions of Hamilton-Jacobi equations and applications in Riemannian geometry
- Libor Veselý, On the multiplicity points of monotone operators on separable Banach spaces
- Piermarco Cannarsa, Funzioni semiconcave, singolarità e pile di sabbia
- Paolo Albano, Piermarco Cannarsa, Structural properties of singularities of semiconcave functions
- Luděk Zajíček, Differentiability of the distance function and points of multi-valuedness of the metric projection in Banach space
- Luděk Zajíček, On Lipschitz and d.c. surfaces of finite codimension in a Banach space
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