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Fabian, Marián J.

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Author ID: fabian.marian-j Recent zbMATH articles by "Fabian, Marián J."
Published as: Fabian, Marian; Fabian, Marian J.; Fabian, Marián; Fabian, Marián J.; Fabian, Marían; Fabián, Marián
Documents Indexed: 62 Publications since 1977, including 3 Books
Reviewing Activity: 48 Reviews

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 899 times in 736 Documents Cited by Year
Functional analysis and infinite-dimensional geometry. Zbl 0981.46001
Fabian, Marián; Habala, Petr; Hájek, Petr; Montesinos Santalucía, Vicente; Pelant, Jan; Zizler, Václav
245
2001
Banach space theory. The basis for linear and nonlinear analysis. Zbl 1229.46001
Fabian, Marián; Habala, Petr; Hájek, Petr; Montesinos, Vicente; Zizler, Václav
202
2011
Gâteaux differentiability of convex functions and topology. Weak Asplund spaces. Zbl 0883.46011
Fabian, Marián J.
112
1997
Error bounds: necessary and sufficient conditions. Zbl 1192.49018
Fabian, Marian J.; Henrion, René; Kruger, Alexander Y.; Outrata, Jiří V.
60
2010
Subdifferentiability and trustworthiness in the light of a new variational principle of Borwein and Preiss. Zbl 0714.49022
Fabian, Marian
50
1989
The dual of every Asplund space admits a projectional resolution of the identity. Zbl 0692.46012
Fabian, Marián; Godefroy, Gilles
30
1988
Sequential normal compactness versus topological normal compactness in variational analysis. Zbl 1038.46016
Fabian, Marián; Mordukhovich, Boris S.
22
2003
The structure of uniformly Gâteaux smooth Banach spaces. Zbl 1027.46012
Fabian, Marián; Godefroy, Gilles; Zizler, Václav
19
2001
About error bounds in metric spaces. Zbl 1306.49026
Fabian, Marian J.; Henrion, René; Kruger, Alexander Y.; Outrata, Jiří V.
11
2012
Nonsmooth characterizations of Asplund spaces and smooth variational principles. Zbl 0927.49012
Fabian, Marián; Mordukhovich, Boris S.
9
1998
A note on regularity of sets and of distance functions in Banach space. Zbl 0801.49015
Borwein, Jonathan M.; Fabian, Marian
9
1994
Lipschitz smooth points of convex functions and isomorphic characterizations of Hilbert spaces. Zbl 0549.46025
Fabian, Marián
9
1985
On primal regularity estimates for single-valued mappings. Zbl 1327.49030
Cibulka, Radek; Fabian, Marián; Ioffe, Alexander D.
8
2015
On classes of subdifferentiability spaces of Ioffe. Zbl 0639.46010
Fabian, Marián
7
1988
Uniform Eberlein compacta and uniformly Gâteaux smooth norms. Zbl 0974.46025
Fabian, Marián; Hájek, Petr; Zizler, Václav
6
1997
Separable reductions and rich families in the theory of Fréchet subdifferentials. Zbl 1350.49012
Fabian, Marián; Ioffe, Alexander
5
2016
Smoothness in Banach spaces. Selected problems. Zbl 1112.46007
Fabian, Marian; Montesinos, Vicente; Zizler, Václav
5
2006
Separable reduction and supporting properties of Fréchet-like normals in Banach spaces. Zbl 0936.49011
Fabian, Marián; Mordukhovich, Boris S.
5
1999
A Banach space admits a locally uniformly rotund norm if its dual is a Vašák space. Zbl 0764.46012
Fabián, Marián; Troyanski, Stanimir
5
1990
Rich families and projectional skeletons in Asplund WCG spaces. Zbl 1368.46019
Cúth, Marek; Fabian, Marián
4
2017
Asplund spaces characterized by rich families and separable reduction of Fréchet subdifferentiability. Zbl 1352.46019
Cúth, Marek; Fabian, Marián
4
2016
Projections in duals to Asplund spaces made without Simons’ lemma. Zbl 1339.46011
Cúth, Marek; Fabian, Marián
4
2015
A note on Robinson-Ursescu and Lyusternik-Graves theorem. Zbl 1275.49025
Cibulka, Radek; Fabian, Marián
4
2013
Smooth renormings of the Lebesgue-Bochner function space \(L^1(\mu ,X)\). Zbl 1262.46007
Fabian, Marián; Lajara, Sebastián
4
2012
Overclasses of the class of Radon-Nikodým compact spaces. Zbl 1149.46017
Fabian, Marián
4
2006
Filling analytic sets by the derivatives of \(C^1\)-smooth bumps. Zbl 1107.46032
Fabian, Marián; Kalenda, Ondrej F. K.; Kolár, Jan
4
2005
A one perturbation variational principle and applications. Zbl 1047.49022
Borwein, Jonathan; Cheng, Lixin; Fabian, Marían; Revalski, Julian P.
4
2004
Pointwise semicontinuous smooth norms. Zbl 1007.46008
Fabian, Marián; Montesinos, Vicente; Zizler, Václav
4
2002
Separable reduction and extremal principles in variational analysis. Zbl 1061.49015
Fabian, Marián; Mordukhovich, Boris S.
4
2002
On a dual locally uniformly rotund norm on a dual Vašák space. Zbl 0815.46018
Fabian, Marián
4
1991
Separable reduction in the theory of Fréchet subdifferentials. Zbl 1284.49016
Fabian, Marián; Ioffe, Alexander
3
2013
A variational principle in reflexive spaces with Kadec-Klee norm. Zbl 1181.46012
Fabian, Marián; Revalski, Julian
3
2009
Weakly compact sets and smooth norms in Banach spaces. Zbl 1007.46011
Fabian, Marián; Montesinos, Vicente; Zizler, Václav
3
2002
Theory of Frechet cones. Zbl 0487.46027
Fabian, Marian
3
1982
Concerning interior mapping theorem. Zbl 0393.46008
Fabian, Marian
3
1979
On Nash-Moser-Ekeland inverse mapping theorem. Zbl 1429.58020
Cibulka, Radek; Fabian, Marián
2
2019
Single-directional properties of quasi-monotone operators. Zbl 1300.47055
Aussel, Didier; Fabian, Marián
2
2013
On Stegall’s smooth variational principle. Zbl 1117.46014
Fabian, Marián; Finet, Catherine
2
2007
Subdifferential calculus in Asplund generated spaces. Zbl 1109.46043
Fabian, Marián; Loewen, Philip D.; Mordukhovich, Boris S.
2
2006
The product of a Gâteaux differentiability space and a separable space is a Gâteaux differentiability space. Zbl 1003.46026
Cheng, Lixin; Fabian, Marián
2
2001
On uniformly Gâteaux smooth \(C^{(n)}\)-smooth norms on separable Banach spaces. Zbl 1011.46010
Fabian, Marián; Zizler, Václav
2
1999
Projectional resolution of the identity sometimes implies weakly compact generating. Zbl 0771.47012
Fabian, Marián
2
1990
Differentiability via one sided directional derivatives. Zbl 0431.26004
Fabian, Marian
2
1981
Rotund renormings in spaces of Bochner integrable functions. Zbl 1348.46010
Fabian, Marián; Lajara, Sebastián
1
2016
On coincidence of Pettis and McShane integrability. Zbl 1349.46045
Fabian, Marián
1
2015
A note on Asplund generated Banach spaces. Zbl 0946.46016
Fabian, Marián; Godefroy, Gilles; Zizler, Václav
1
1999
Once more of continuity of maximal monotone mappings. Zbl 0347.47028
Fabian, Marian
1
1977
On singlevaluedness and (strong) upper semicontinuity of maximal monotone mappings. Zbl 0347.47027
Fabian, Marian
1
1977
On Nash-Moser-Ekeland inverse mapping theorem. Zbl 1429.58020
Cibulka, Radek; Fabian, Marián
2
2019
Rich families and projectional skeletons in Asplund WCG spaces. Zbl 1368.46019
Cúth, Marek; Fabian, Marián
4
2017
Separable reductions and rich families in the theory of Fréchet subdifferentials. Zbl 1350.49012
Fabian, Marián; Ioffe, Alexander
5
2016
Asplund spaces characterized by rich families and separable reduction of Fréchet subdifferentiability. Zbl 1352.46019
Cúth, Marek; Fabian, Marián
4
2016
Rotund renormings in spaces of Bochner integrable functions. Zbl 1348.46010
Fabian, Marián; Lajara, Sebastián
1
2016
On primal regularity estimates for single-valued mappings. Zbl 1327.49030
Cibulka, Radek; Fabian, Marián; Ioffe, Alexander D.
8
2015
Projections in duals to Asplund spaces made without Simons’ lemma. Zbl 1339.46011
Cúth, Marek; Fabian, Marián
4
2015
On coincidence of Pettis and McShane integrability. Zbl 1349.46045
Fabian, Marián
1
2015
A note on Robinson-Ursescu and Lyusternik-Graves theorem. Zbl 1275.49025
Cibulka, Radek; Fabian, Marián
4
2013
Separable reduction in the theory of Fréchet subdifferentials. Zbl 1284.49016
Fabian, Marián; Ioffe, Alexander
3
2013
Single-directional properties of quasi-monotone operators. Zbl 1300.47055
Aussel, Didier; Fabian, Marián
2
2013
About error bounds in metric spaces. Zbl 1306.49026
Fabian, Marian J.; Henrion, René; Kruger, Alexander Y.; Outrata, Jiří V.
11
2012
Smooth renormings of the Lebesgue-Bochner function space \(L^1(\mu ,X)\). Zbl 1262.46007
Fabian, Marián; Lajara, Sebastián
4
2012
Banach space theory. The basis for linear and nonlinear analysis. Zbl 1229.46001
Fabian, Marián; Habala, Petr; Hájek, Petr; Montesinos, Vicente; Zizler, Václav
202
2011
Error bounds: necessary and sufficient conditions. Zbl 1192.49018
Fabian, Marian J.; Henrion, René; Kruger, Alexander Y.; Outrata, Jiří V.
60
2010
A variational principle in reflexive spaces with Kadec-Klee norm. Zbl 1181.46012
Fabian, Marián; Revalski, Julian
3
2009
On Stegall’s smooth variational principle. Zbl 1117.46014
Fabian, Marián; Finet, Catherine
2
2007
Smoothness in Banach spaces. Selected problems. Zbl 1112.46007
Fabian, Marian; Montesinos, Vicente; Zizler, Václav
5
2006
Overclasses of the class of Radon-Nikodým compact spaces. Zbl 1149.46017
Fabian, Marián
4
2006
Subdifferential calculus in Asplund generated spaces. Zbl 1109.46043
Fabian, Marián; Loewen, Philip D.; Mordukhovich, Boris S.
2
2006
Filling analytic sets by the derivatives of \(C^1\)-smooth bumps. Zbl 1107.46032
Fabian, Marián; Kalenda, Ondrej F. K.; Kolár, Jan
4
2005
A one perturbation variational principle and applications. Zbl 1047.49022
Borwein, Jonathan; Cheng, Lixin; Fabian, Marían; Revalski, Julian P.
4
2004
Sequential normal compactness versus topological normal compactness in variational analysis. Zbl 1038.46016
Fabian, Marián; Mordukhovich, Boris S.
22
2003
Pointwise semicontinuous smooth norms. Zbl 1007.46008
Fabian, Marián; Montesinos, Vicente; Zizler, Václav
4
2002
Separable reduction and extremal principles in variational analysis. Zbl 1061.49015
Fabian, Marián; Mordukhovich, Boris S.
4
2002
Weakly compact sets and smooth norms in Banach spaces. Zbl 1007.46011
Fabian, Marián; Montesinos, Vicente; Zizler, Václav
3
2002
Functional analysis and infinite-dimensional geometry. Zbl 0981.46001
Fabian, Marián; Habala, Petr; Hájek, Petr; Montesinos Santalucía, Vicente; Pelant, Jan; Zizler, Václav
245
2001
The structure of uniformly Gâteaux smooth Banach spaces. Zbl 1027.46012
Fabian, Marián; Godefroy, Gilles; Zizler, Václav
19
2001
The product of a Gâteaux differentiability space and a separable space is a Gâteaux differentiability space. Zbl 1003.46026
Cheng, Lixin; Fabian, Marián
2
2001
Separable reduction and supporting properties of Fréchet-like normals in Banach spaces. Zbl 0936.49011
Fabian, Marián; Mordukhovich, Boris S.
5
1999
On uniformly Gâteaux smooth \(C^{(n)}\)-smooth norms on separable Banach spaces. Zbl 1011.46010
Fabian, Marián; Zizler, Václav
2
1999
A note on Asplund generated Banach spaces. Zbl 0946.46016
Fabian, Marián; Godefroy, Gilles; Zizler, Václav
1
1999
Nonsmooth characterizations of Asplund spaces and smooth variational principles. Zbl 0927.49012
Fabian, Marián; Mordukhovich, Boris S.
9
1998
Gâteaux differentiability of convex functions and topology. Weak Asplund spaces. Zbl 0883.46011
Fabian, Marián J.
112
1997
Uniform Eberlein compacta and uniformly Gâteaux smooth norms. Zbl 0974.46025
Fabian, Marián; Hájek, Petr; Zizler, Václav
6
1997
A note on regularity of sets and of distance functions in Banach space. Zbl 0801.49015
Borwein, Jonathan M.; Fabian, Marian
9
1994
On a dual locally uniformly rotund norm on a dual Vašák space. Zbl 0815.46018
Fabian, Marián
4
1991
A Banach space admits a locally uniformly rotund norm if its dual is a Vašák space. Zbl 0764.46012
Fabián, Marián; Troyanski, Stanimir
5
1990
Projectional resolution of the identity sometimes implies weakly compact generating. Zbl 0771.47012
Fabian, Marián
2
1990
Subdifferentiability and trustworthiness in the light of a new variational principle of Borwein and Preiss. Zbl 0714.49022
Fabian, Marian
50
1989
The dual of every Asplund space admits a projectional resolution of the identity. Zbl 0692.46012
Fabian, Marián; Godefroy, Gilles
30
1988
On classes of subdifferentiability spaces of Ioffe. Zbl 0639.46010
Fabian, Marián
7
1988
Lipschitz smooth points of convex functions and isomorphic characterizations of Hilbert spaces. Zbl 0549.46025
Fabian, Marián
9
1985
Theory of Frechet cones. Zbl 0487.46027
Fabian, Marian
3
1982
Differentiability via one sided directional derivatives. Zbl 0431.26004
Fabian, Marian
2
1981
Concerning interior mapping theorem. Zbl 0393.46008
Fabian, Marian
3
1979
Once more of continuity of maximal monotone mappings. Zbl 0347.47028
Fabian, Marian
1
1977
On singlevaluedness and (strong) upper semicontinuity of maximal monotone mappings. Zbl 0347.47027
Fabian, Marian
1
1977
all top 5

Cited by 684 Authors

31 Hájek, Petr
28 Mordukhovich, Boris S.
26 Montesinos Santalucia, Vicente
23 Rodríguez Ruiz, José
19 Fabian, Marián J.
18 Kalenda, Ondřej F. K.
18 Zizler, Vaclav E.
17 Fabian, Martin
15 Kruger, Alexander Ya.
14 Guirao, Antonio José
13 Huynh Van Ngai
13 Orihuela, José
12 Borwein, Jonathan Michael
12 Troyanski, Stanimir L.
11 Cibulka, Radek
11 Lajara, Sebastián
11 Penot, Jean-Paul
10 Aviles Lopez, Antonio
10 Raja, Matias
10 Wang, Bingwu
9 Ioffe, Alexander Davidovich
9 Johanis, Michal
9 Moors, Warren B.
9 Théra, Michel A.
8 Cheng, Lixin
8 Cúth, Marek
8 Kadets, Vladimir M.
8 López-Cerdá, Marco Antonio
7 Aron, Richard M.
7 Cascales, Bernardo
7 Fry, Robb Charles
7 Godefroy, Gilles
7 Jiménez-Sevilla, Mar
7 Koszmider, Piotr B.
7 Pfitzner, Hermann
7 Raja, Muhammad Asif Zahoor
7 Smith, Richard James
7 Spurný, Jiří
7 Thibault, Lionel
7 Uderzo, Amos
6 Azagra, Daniel
6 Brzdęk, Janusz
6 Deville, Robert
6 Kąkol, Jerzy
6 Martín Suarez, Miguel
6 Popa, Dorian
6 Procházka, Antonín
6 Rueda Zoca, Abraham
6 Talponen, Jarno
6 Zheng, Xiyin
5 Banakh, Taras Onufrievich
5 Becerra Guerrero, Julio
5 Chuong, Thai Doan
5 García-Lirola, Luis Carlos
5 Jourani, Abderrahim
5 Kania, Tomasz
5 Kurka, Ondřej
5 López-Pérez, Ginés
5 Pernecká, Eva
5 Rosendal, Christian
5 Shao, Yongheng
5 Vanderwerff, Jon D.
5 Wang, Shawn Xianfu
4 Acosta Vigil, María Dolores
4 Bounkhel, Messaoud
4 Calabuig, José Manuel
4 Correa, Claudia
4 Correa, Rafael
4 Domínguez Benavides, T.
4 Durea, Marius
4 Fonf, Vladimir P.
4 García, Domingo
4 Gfrerer, Helmut
4 Hantoute, Abderrahim
4 Holá, Ľubica
4 Jordá, Enrique
4 Kubiś, Wiesław
4 Lancien, Gilles
4 Lassonde, Marc
4 Maestre, Manuel
4 Mercourakis, Sophocles
4 Nam, Nguyen Mau
4 Ng, Kung-Fu
4 Nghia, Tran T. A.
4 Peralta, Antonio M.
4 Pérez Hernández, Antonio
4 Ruiz Galán, Manuel
4 Rychtár, Jan
4 Sama, Miguel
4 Sánchez-Pérez, Enrique Alfonso
4 Thao, Nguyen Hieu
4 Tkachuk, Vladimir Vladimirovich
4 Xu, Bing
4 Zagrodny, Dariusz
3 Abrahamsen, Trond Arnold
3 Angosto, Carlos
3 Argyros, Spiros A.
3 Aussel, Didier
3 Azé, Dominique
3 Baias, Alina-Ramona
...and 584 more Authors
all top 5

Cited in 139 Serials

124 Journal of Mathematical Analysis and Applications
51 Journal of Functional Analysis
48 Proceedings of the American Mathematical Society
32 Set-Valued and Variational Analysis
26 Topology and its Applications
26 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Journal of Optimization Theory and Applications
15 Israel Journal of Mathematics
15 Positivity
14 Transactions of the American Mathematical Society
13 Mathematical Programming. Series A. Series B
12 Bulletin of the Australian Mathematical Society
12 Optimization
12 SIAM Journal on Optimization
10 Studia Mathematica
8 Rocky Mountain Journal of Mathematics
8 Journal of Convex Analysis
8 Optimization Letters
7 Advances in Mathematics
7 Journal of Global Optimization
7 Acta Mathematica Sinica. English Series
7 Journal of the Australian Mathematical Society
7 Banach Journal of Mathematical Analysis
7 Nonlinear Analysis. Theory, Methods & Applications
6 Czechoslovak Mathematical Journal
6 Journal of Approximation Theory
6 Mathematische Annalen
6 Vietnam Journal of Mathematics
5 Monatshefte für Mathematik
5 Linear Algebra and its Applications
5 Mediterranean Journal of Mathematics
4 Mathematische Zeitschrift
4 Revista Matemática Iberoamericana
4 The Journal of Geometric Analysis
4 Indagationes Mathematicae. New Series
4 Fixed Point Theory and Applications
4 Journal of Fixed Point Theory and Applications
3 Archiv der Mathematik
3 Bulletin of the London Mathematical Society
3 Duke Mathematical Journal
3 Inventiones Mathematicae
3 Journal of Soviet Mathematics
3 Mathematische Nachrichten
3 Mathematics of Operations Research
3 Numerical Functional Analysis and Optimization
3 Results in Mathematics
3 SIAM Journal on Control and Optimization
3 Set-Valued Analysis
3 Revista Matemática Complutense
2 Applicable Analysis
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Commentationes Mathematicae Universitatis Carolinae
2 Functiones et Approximatio. Commentarii Mathematici
2 Fundamenta Mathematicae
2 Illinois Journal of Mathematics
2 Integral Equations and Operator Theory
2 Journal of Differential Equations
2 Journal of Mathematical Economics
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Annals of Pure and Applied Logic
2 Constructive Approximation
2 Applied Mathematics Letters
2 Journal of Scientific Computing
2 Annals of Operations Research
2 Aequationes Mathematicae
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Expositiones Mathematicae
2 Computational Optimization and Applications
2 Bulletin des Sciences Mathématiques
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Abstract and Applied Analysis
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Central European Journal of Mathematics
2 Journal of Function Spaces and Applications
2 Journal of Function Spaces
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 International Journal of Control
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Russian Mathematical Surveys
1 The Mathematical Intelligencer
1 Annales de l’Institut Fourier
1 The Annals of Statistics
1 Applied Mathematics and Computation
1 Dissertationes Mathematicae
1 Functional Analysis and its Applications
1 Glasgow Mathematical Journal
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Kybernetika
1 Mathematica Scandinavica
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Quaestiones Mathematicae
...and 39 more Serials
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Cited in 46 Fields

471 Functional analysis (46-XX)
186 Calculus of variations and optimal control; optimization (49-XX)
119 Operator theory (47-XX)
119 General topology (54-XX)
118 Operations research, mathematical programming (90-XX)
53 Global analysis, analysis on manifolds (58-XX)
34 Real functions (26-XX)
29 Approximations and expansions (41-XX)
27 Mathematical logic and foundations (03-XX)
26 Measure and integration (28-XX)
19 Convex and discrete geometry (52-XX)
17 Difference and functional equations (39-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Partial differential equations (35-XX)
15 Numerical analysis (65-XX)
13 Topological groups, Lie groups (22-XX)
11 Dynamical systems and ergodic theory (37-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
6 Group theory and generalizations (20-XX)
6 Ordinary differential equations (34-XX)
6 Abstract harmonic analysis (43-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Functions of a complex variable (30-XX)
5 Differential geometry (53-XX)
5 Probability theory and stochastic processes (60-XX)
4 Combinatorics (05-XX)
3 Integral equations (45-XX)
3 Geometry (51-XX)
3 Statistics (62-XX)
3 Systems theory; control (93-XX)
2 Nonassociative rings and algebras (17-XX)
2 Several complex variables and analytic spaces (32-XX)
1 General and overarching topics; collections (00-XX)
1 General algebraic systems (08-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Sequences, series, summability (40-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year