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Singer, Ivan

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Author ID: singer.ivan Recent zbMATH articles by "Singer, Ivan"
Published as: Singer, Ivan; Singer, I.
External Links: Wikidata
Documents Indexed: 220 Publications since 1953, including 7 Books
all top 5

Serials

19 Académie de la République Populaire Roumaine, Revue de Mathématiques Pures et Appliquées
18 Optimization
12 Journal of Mathematical Analysis and Applications
12 Revue Roumaine de Mathématiques Pures et Appliquées
12 Linear Algebra and its Applications
10 Mathematische Annalen
8 Studia Mathematica
8 Numerical Functional Analysis and Optimization
6 Bulletin of the Australian Mathematical Society
6 Academia Republicii Populare Romîne. Buletin Ştiinţific. Secţiunea de Ştiinţe Matematice şi Fizike
5 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
4 Journal of Approximation Theory
4 Journal of Optimization Theory and Applications
4 Academia Republicii Populare Romîne, Studii Şi Cercetări Matematice
3 Archiv der Mathematik
3 Pacific Journal of Mathematics
3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
3 Nonlinear Analysis. Theory, Methods & Applications
2 Israel Journal of Mathematics
2 Bulletin des Sciences Mathématiques. Deuxième Série
2 Czechoslovak Mathematical Journal
2 Mathematische Operationsforschung und Statistik. Series Optimization
2 Proceedings of the American Mathematical Society
2 Journal of Mathematical Sciences (New York)
2 Journal of Convex Analysis
2 Grundlehren der Mathematischen Wissenschaften
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Applicable Analysis
1 Linear and Multilinear Algebra
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Acta Scientiarum Mathematicarum
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Optimization
1 Canadian Journal of Mathematics
1 Časopis Pro Pěstování Matematiky
1 Control and Cybernetics
1 Duke Mathematical Journal
1 Journal of Functional Analysis
1 Mathematics of Operations Research
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Results in Mathematics
1 Transactions of the American Mathematical Society
1 Journal of Global Optimization
1 Serdica
1 ZOR. Zeitschrift für Operations Research
1 SIAM Journal on Optimization
1 Set-Valued Analysis
1 ZOR. Mathematical Methods of Operations Research
1 Positivity
1 Bollettino della Unione Matematica Italiana. Series V. B
1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques
1 Bulletin of the American Mathematical Society
1 Journal of the London Mathematical Society
1 Annales Scientifiques de l’École Normale Supérieure. Troisième Série
1 Bulletin Mathématique de la Société des Sciences Mathématiques et Physiques de la République Populaire Roumaine. Nouvelle Série
1 Annales Societatis Mathematicae Polonae
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 Methods of Operations Research
1 Translations. Series 2. American Mathematical Society
1 Canadian Mathematical Society Series of Monographs and Advanced Texts
1 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC
1 Abhandlungen der Akademie der Wissenschaften der DDR

Publications by Year

Citations contained in zbMATH Open

172 Publications have been cited 2,180 times in 1,532 Documents Cited by Year
Best approximation in normed linear spaces by elements of linear subspaces. Zbl 0197.38601
Singer, Ivan
379
1970
Bases in Banach spaces. I. Zbl 0198.16601
Singer, Ivan
282
1970
Bases in Banach spaces. II. Zbl 0467.46020
Singer, Ivan
122
1981
Abstract convex analysis. Zbl 0898.49001
Singer, Ivan
100
1997
Constraint qualifications for semi-infinite systems of convex inequalities. Zbl 0999.90045
Li, Wu; Nahak, Chandal; Singer, Ivan
49
2000
Topical and sub-topical functions, downward sets and abstract convexity. Zbl 1007.26010
Rubinov, A. M.; Singer, Ivan
44
2001
Some remarks on approximative compactness. Zbl 0166.39405
Singer, Ivan
41
1964
The theory of best approximation and functional analysis. Zbl 0291.41020
Singer, Ivan
36
1974
A Fenchel-Rockafellar type duality theorem for maximization. Zbl 0404.90101
Singer, Ivan
34
1979
Downward sets and their separation and approximation properties. Zbl 1013.90101
Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan
31
2002
Max-plus convex sets and functions. Zbl 1093.26005
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre; Singer, Ivan
30
2005
Basic sequences and reflexivity of Banach spaces. Zbl 0114.30903
Singer, Ivan
29
1962
Some remarks on the representation of linear operators in spaces of vector-valued continuous functions. Zbl 0102.32302
Foiaš, Ciprian; Singer, Ivan
26
1960
On non-equivalent bases and conditional bases in Banach spaces. Zbl 0187.05403
Pełczyński, Aleksander; Singer, Ivan
25
1964
Caractérisation des éléments de meilleure approximation dans un espace de Banach quelconque. Zbl 0072.13003
Singer, Ivan
23
1956
Best coapproximation in normed linear spaces. Zbl 0421.41017
Papini, Pier Luigi; Singer, Ivan
23
1979
Global error bounds for convex multifunctions and applications. Zbl 0977.90054
Li, Wu; Singer, Ivan
22
1998
Some relations between dualities, polarities, coupling functionals, and conjugations. Zbl 0601.46043
Singer, Ivan
22
1986
Minimization of continuous convex functionals on complements of convex subsets of locally convex spaces. Zbl 0449.90100
Singer, Ivan
21
1980
Best approximation by normal and conormal sets. Zbl 0967.41017
Rubinov, A. M.; Singer, Ivan
20
2000
A general theory of dual optimization problems. Zbl 0598.49011
Singer, Ivan
18
1986
On set-valued metric projections, Hahn-Banach extension maps, and spherical image maps. Zbl 0267.41013
Deutsch, Frank; Pollul, Walter; Singer, Ivan
16
1973
Max-plus convex sets and max-plus semispaces. I. Zbl 1121.52002
Nitica, V.; Singer, Ivan
16
2007
Extensions of functions of 0-1 variables and applications to combinatorial optimization. Zbl 0546.90066
Singer, Ivan
15
1984
Some new applications of the Fenchel-Rockafellar duality theorem: Lagrange multiplier theorems and hyperplane theorems for convex optimization and best approximation. Zbl 0444.41015
Singer, Ivan
15
1979
On the set of the best approximations of an element in a normed linear space. Zbl 0122.34801
Singer, Ivan
14
1960
Weak Chebyshev subspaces and alternation. Zbl 0454.41030
Deutsch, Frank; Nürenberger, Günther; Singer, Ivan
14
1980
Optimization by level set methods. IV: Generalizations and complements. Zbl 0497.49022
Singer, Ivan
14
1982
Points of diffusion of linear operators and almost diffuse operators in spaces of continuous functions. Zbl 0132.09904
Foiaš, Ciprian; Singer, Ivan
13
1965
Uniqueness and strong uniqueness of best approximations by spline subspaces and other subspaces. Zbl 0505.41018
Nürnberger, Günther; Singer, Ivan
13
1982
The distance to a polyhedron. Zbl 0759.15008
Bergthaller, C.; Singer, Ivan
13
1992
Topologies on lattice ordered groups, separation from closed downward sets and conjugations of type Lau. Zbl 1049.06014
Akian, Marianne; Singer, Ivan
12
2003
Bases and quasi-reflexivity of Banach-spaces. Zbl 0116.31502
Singer, Ivan
12
1964
Some characterizations of symmetric bases in Banach spaces. Zbl 0119.10005
Singer, Ivan
12
1962
Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. I: Hyperplane theorems. Zbl 0421.90077
Singer, Ivan
12
1979
On linear integral mappings on spaces of continuous functions. I. (Sur les applications linéaires intégrales des espaces de fonctions continues. I.) Zbl 0121.33402
Singer, Ivan
11
1959
Duality for nonconvex approximation and optimization. Zbl 1119.90002
Singer, Ivan
11
2006
A general theory of surrogate dual and perturbational extended surrogate dual optimization problems. Zbl 0607.90089
Singer, Ivan
11
1984
The structure of max-plus hyperplanes. Zbl 1130.52001
Nitica, V.; Singer, Ivan
11
2007
Generalizations of methods of best approximation to convex optimization in locally convex spaces. II: hyperbolic theorems. Zbl 0466.41013
Singer, Ivan
11
1979
\(\bigvee\)-dualities and \(\perp\)-dualities. Zbl 0728.06007
Martínez-Legaz, J.-E.; Singer, Ivan
10
1991
Dualities between complete lattices. Zbl 0728.90071
Martinez-Legaz, J.-E.; Singer, Ivan
10
1990
Best approximation in max-plus semimodules. Zbl 1226.15016
Akian, Marianne; Gaubert, Stéphane; Niţică, Viorel; Singer, Ivan
10
2011
Max-plus convex sets and max-plus semispaces. II. Zbl 1127.52001
Nitica, V.; Singer, Ivan
10
2007
Infimal generators and dualities between complete lattices. Zbl 0638.06006
Singer, Ivan
10
1987
Surrogate conjugate functionals and surrogate convexity. Zbl 0526.90097
Singer, Ivan
10
1983
The lower semi-continuous quasi-convex hull as a normalized second conjugate. Zbl 0528.49007
Singer, Ivan
10
1983
On Banach spaces with a symmetric basis. (Über Banachsche Räume mit symmetrischer Basis.) Zbl 0107.32602
Singer, Ivan
9
1961
Weak compactness, pseudo-reflexivity and quasi-reflexivity. Zbl 0117.08301
Singer, Ivan
9
1964
Surrogate dual problems and surrogate Lagrangians. Zbl 0584.49006
Singer, Ivan
9
1984
The structure of hemispaces in \({\mathbb{R}}^ n\). Zbl 0656.52004
Martínez-Legaz, Juan-Enrique; Singer, Ivan
9
1988
Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. II: Quasi-Lagrangian duality theorems. Zbl 0459.90088
Singer, Ivan
9
1980
Further applications of the additive min-type coupling function. Zbl 1014.49027
Singer, Ivan
8
2002
\(({\ast},s)\)-dualities. Zbl 1136.49315
Getán, J.; Martínez-Legaz, J.-E.; Singer, Ivan
8
2003
On the extension of continuous linear functionals and best approximation in normed linear spaces. Zbl 0141.12002
Singer, Ivan
8
1965
Lexicographical separation in \({\mathbb{R}}^ n\). Zbl 0614.52003
Martínez-Legaz, Juan-Enrique; Singer, Ivan
8
1987
Optimization by level set methods. V: Duality theorems for perturbed optimization problems. Zbl 0538.49004
Singer, Ivan
8
1984
Some further duality theorems for optimization problems with reverse convex constraint sets. Zbl 0770.49021
Singer, Ivan
8
1992
On convex vectorial optimization in linear spaces. Zbl 0326.90052
Bacopoulos, Alexis; Singer, Ivan
8
1977
Subdifferentials with respect to dualities. Zbl 0838.90111
Martinez-Legaz, Juan-Enrique; Singer, Ivan
7
1995
On radiant sets, downward sets, topical functions and sub-topical functions in lattice ordered groups. Zbl 1066.26006
Singer, Ivan
7
2004
Some remarks on strongly linearly independent sequences and bases in Banach spaces. Zbl 0106.08603
Foiaš, Ciprian; Singer, Ivan
7
1961
On bases in quasi-reflexive Banach spaces. Zbl 0135.34503
Singer, Ivan
7
1963
Complemented subspaces and \(\Lambda\) systems in Banach spaces. Zbl 0169.15401
Davis, W. J.; Dean, D. W.; Singer, Ivan
7
1968
On biorthogonal systems and total sequences of functionals. II. Zbl 0233.46028
Singer, Ivan
7
1973
Infima of sets in the plane and applications to vectorial optimization. Zbl 0393.90089
Bacopoulos, Alexis; Godini, G.; Singer, Ivan
7
1978
Duality theorems for perturbed convex optimization. Zbl 0462.90091
Singer, Ivan
7
1981
Optimization and best approximation. Zbl 0472.41023
Singer, Ivan
7
1981
Les duals de certains espaces de Banach de champs de vecteurs. I, II. Zbl 0094.09205
Singer, Ivan
6
1958
On Banach spaces reflexive with respect to a linear subspace of their conjugate space. Zbl 0098.08001
Singer, Ivan
6
1958
On bases in \(C([0,1])\) and \(L^ 1([0,1])\). Zbl 0141.31102
Foiaš, Ciprian; Singer, Ivan
6
1965
Weak\(^ *\) bases in conjugate Banach spaces. II. Zbl 0143.35003
Singer, Ivan
6
1963
On a problem of T. J. Rivlin in approximation theory. Zbl 0193.09201
Deutsch, Frank; Morris, Peter D.; Singer, Ivan
6
1969
On best approximation in normed linear spaces by elements of subspaces of finite codimension. Zbl 0249.41023
Singer, Ivan
6
1972
Boundedly complete M-bases and complemented subspaces in Banach spaces. Zbl 0256.46027
Davis, William J.; Singer, Ivan
6
1973
Generalizations of methods of best approximation to convex optimization in locally convex space. I: Extension of continuous linear functionals and characterizations of solutions of continuous convex programs. Zbl 0283.49023
Singer, Ivan
6
1974
\(*\)-dualities. Zbl 0815.49026
Martinez-Legaz, Juan-Enrique; Singer, Ivan
6
1994
Lexicographical order, lexicographical index, and linear operators. Zbl 0711.52002
Martínez-Legaz, Juan-Enrique; Singer, Ivan
6
1990
On Kadec-Klee norms on Banach spaces. Zbl 0321.46012
van Dulst, Dick; Singer, Ivan
6
1976
Duality theorems for linear systems and convex systems. Zbl 0445.49007
Singer, Ivan
6
1980
Optimization by level set methods. III: Characterizations of solutions in the presence of duality. Zbl 0496.49014
Singer, Ivan
6
1982
On conjugations for functions with values in extensions of ordered groups. Zbl 0899.49016
Martínez-Legaz, Juan-Enrique; Singer, Ivan
5
1997
Remarque sur théorème d’approximation de H. Yamabe. Zbl 0086.09202
Singer, Ivan
5
1959
On a theorem of J. D. Weston. Zbl 0087.10703
Singer, Ivan
5
1959
On linear integral operators on spaces of vector-valued continuous functions. (Sur les application linéaires intégrales des espaces de fonctions continues à valeurs vectorielles.) Zbl 0097.10002
Singer, Ivan
5
1960
On Banach spaces reflexive with respect to a linear subspace of their conjugate space. III. Zbl 0143.35004
Singer, Ivan
5
1963
On the basis problem in topological linear spaces. Zbl 0148.11201
Singer, Ivan
5
1965
Surrogate duality for vector optimization. Zbl 0609.49012
Martinez-Legaz, Juan-Enrique; Singer, Ivan
5
1987
On the perturbation and Lagrangian duality theories of Rockafellar and Kurcyusz. Zbl 0467.90077
Singer, Ivan
5
1981
Contributions to max-min convex geometry. I: Segments. Zbl 1134.52300
Nitica, V.; Singer, Ivan
5
2008
Duality for optimization and best approximation over finite intersections. Zbl 0923.46071
Singer, Ivan
4
1998
Sur la meilleure approximation des fonctions abstraites continues à valeurs dans un espace de Banach. Zbl 0087.31602
Singer, Ivan
4
1957
On Banach spaces reflexive with respect to a linear subspace of their conjugate space. II. Zbl 0101.32801
Singer, Ivan
4
1962
Choquet spaces and best approximation. Zbl 0105.09104
Singer, Ivan
4
1962
On best approximation of continuous functions. II. Zbl 0106.30801
Singer, Ivan
4
1961
A remark on reflectivity and summability. Zbl 0137.09602
Singer, Ivan
4
1965
On the cones associated with biorthogonal systems and bases in Banach spaces. Zbl 0188.43501
McArthur, C. W.; Singer, Ivan; Levin, M.
4
1969
On \(k\)-shrinking and \(k\)-boundedly complete bases in Banach spaces. Zbl 0189.42901
Dean, D. W.; Lin, B.-L.; Singer, Ivan
4
1970
Some remarks on domination of sequences. Zbl 0195.12803
Singer, Ivan
4
1970
On shrinking basic sequences in Banach spaces. Zbl 0223.46018
Dean, David W.; Singer, Ivan; Sternbach, Leonard
4
1971
Extended-valued topical and anti-topical functions on semimodules. Zbl 1309.06014
Singer, Ivan; Nitica, Viorel
2
2014
Topical functions on semimodules and generalizations. Zbl 1284.06048
Singer, Ivan; Nitica, Viorel
3
2012
Best approximation in max-plus semimodules. Zbl 1226.15016
Akian, Marianne; Gaubert, Stéphane; Niţică, Viorel; Singer, Ivan
10
2011
Elementary topical functions on \(b\)-complete semimodules over \(b\)-complete idempotent semifields. Zbl 1211.06010
Singer, Ivan
4
2010
Contributions to max-min convex geometry. I: Segments. Zbl 1134.52300
Nitica, V.; Singer, Ivan
5
2008
Contributions to max-min convex geometry. II: Semispaces and convex sets. Zbl 1320.52001
Nitica, V.; Singer, I.
4
2008
Max-plus convex sets and max-plus semispaces. I. Zbl 1121.52002
Nitica, V.; Singer, Ivan
16
2007
The structure of max-plus hyperplanes. Zbl 1130.52001
Nitica, V.; Singer, Ivan
11
2007
Max-plus convex sets and max-plus semispaces. II. Zbl 1127.52001
Nitica, V.; Singer, Ivan
10
2007
Duality for nonconvex approximation and optimization. Zbl 1119.90002
Singer, Ivan
11
2006
Some conjugation formulas and subdifferential formulas of convex analysis revisited. Zbl 1211.49018
Martínez-Legaz, J.-E.; Singer, Ivan
2
2006
Max-plus convex sets and functions. Zbl 1093.26005
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre; Singer, Ivan
30
2005
On radiant sets, downward sets, topical functions and sub-topical functions in lattice ordered groups. Zbl 1066.26006
Singer, Ivan
7
2004
Topologies on lattice ordered groups, separation from closed downward sets and conjugations of type Lau. Zbl 1049.06014
Akian, Marianne; Singer, Ivan
12
2003
\(({\ast},s)\)-dualities. Zbl 1136.49315
Getán, J.; Martínez-Legaz, J.-E.; Singer, Ivan
8
2003
Some relations between linear mappings and conjugations in idempotent analysis. Zbl 1055.49021
Singer, Ivan
3
2003
Downward sets and their separation and approximation properties. Zbl 1013.90101
Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan
31
2002
Further applications of the additive min-type coupling function. Zbl 1014.49027
Singer, Ivan
8
2002
Topical and sub-topical functions, downward sets and abstract convexity. Zbl 1007.26010
Rubinov, A. M.; Singer, Ivan
44
2001
Asymptotic constraint qualifications and error bounds for semi-infinite systems of convex inequalities. Zbl 1169.90462
Li, Wu; Singer, Ivan
2
2001
Constraint qualifications for semi-infinite systems of convex inequalities. Zbl 0999.90045
Li, Wu; Nahak, Chandal; Singer, Ivan
49
2000
Best approximation by normal and conormal sets. Zbl 0967.41017
Rubinov, A. M.; Singer, Ivan
20
2000
Distance to the intersection of normal sets and applications. Zbl 0969.26010
Rubinov, A. M.; Singer, Ivan
3
2000
Lagrangian duality theorems for reverse convex infimization. Zbl 0986.90072
Singer, Ivan
1
2000
Duality in quasi-convex supremization and reverse convex infimization via abstract convex analysis, and applications to approximation. Zbl 0941.49020
Singer, Ivan
1
1999
Global error bounds for convex multifunctions and applications. Zbl 0977.90054
Li, Wu; Singer, Ivan
22
1998
Duality for optimization and best approximation over finite intersections. Zbl 0923.46071
Singer, Ivan
4
1998
On \(\Phi\)-convexity of convex functions. Zbl 0952.26009
Martínez-Legaz, Juan-Enrique; Singer, Ivan
2
1998
Abstract convex analysis. Zbl 0898.49001
Singer, Ivan
100
1997
On conjugations for functions with values in extensions of ordered groups. Zbl 0899.49016
Martínez-Legaz, Juan-Enrique; Singer, Ivan
5
1997
An extension of d. c. duality theory, with an appendix on \(*\)-subdifferentials. Zbl 0893.90143
Martínez-Legaz, J.-E.; Singer, Ivan
2
1997
Subdifferentials with respect to dualities. Zbl 0838.90111
Martinez-Legaz, Juan-Enrique; Singer, Ivan
7
1995
Dualities associated to binary operations on \(\overline {R}\). Zbl 0832.06004
Martínez-Legaz, Juan-Enrique; Singer, Ivan
3
1995
\(*\)-dualities. Zbl 0815.49026
Martinez-Legaz, Juan-Enrique; Singer, Ivan
6
1994
On single-valuedness of convex set-valued maps. Zbl 0807.46011
Deutsch, Frank; Singer, Ivan
4
1993
The distance to a polyhedron. Zbl 0759.15008
Bergthaller, C.; Singer, Ivan
13
1992
Some further duality theorems for optimization problems with reverse convex constraint sets. Zbl 0770.49021
Singer, Ivan
8
1992
Some characterizations of surrogate dual problems. Zbl 0817.90112
Martínez-Legaz, J.-E.; Singer, Ivan
4
1992
\(\bigvee\)-dualities and \(\perp\)-dualities. Zbl 0728.06007
Martínez-Legaz, J.-E.; Singer, Ivan
10
1991
Some characterizations of \(\varphi\)-Lagrangian dual problems. Zbl 0753.49017
Martínez-Legaz, J.-E.; Singer, Ivan
4
1991
Multi-order convexity. Zbl 0741.52001
Martínez-Legaz, Juan-Enrique; Singer, Ivan
2
1991
Some further relations between unperturbational and perturbational dual optimization problems. Zbl 0743.90112
Singer, Ivan
1
1991
Dualities between complete lattices. Zbl 0728.90071
Martinez-Legaz, J.-E.; Singer, Ivan
10
1990
Lexicographical order, lexicographical index, and linear operators. Zbl 0711.52002
Martínez-Legaz, Juan-Enrique; Singer, Ivan
6
1990
A characterization of Lagrangian dual problems. Zbl 0771.49006
Martinez-Legaz, J.-E.; Singer, I.
1
1990
The structure of hemispaces in \({\mathbb{R}}^ n\). Zbl 0656.52004
Martínez-Legaz, Juan-Enrique; Singer, Ivan
9
1988
Abstract subdifferentials and some characterizations of optimal solutions. Zbl 0619.49007
Singer, Ivan
3
1988
Infimal generators and dualities between complete lattices. Zbl 0638.06006
Singer, Ivan
10
1987
Lexicographical separation in \({\mathbb{R}}^ n\). Zbl 0614.52003
Martínez-Legaz, Juan-Enrique; Singer, Ivan
8
1987
Surrogate duality for vector optimization. Zbl 0609.49012
Martinez-Legaz, Juan-Enrique; Singer, Ivan
5
1987
Optimization by level set methods. VI: Generalizations of surrogate type reverse convex duality. Zbl 0638.49006
Singer, Ivan
4
1987
Generalizations of convex supremization duality. Zbl 0652.49016
Singer, Ivan
3
1987
Some relations between dualities, polarities, coupling functionals, and conjugations. Zbl 0601.46043
Singer, Ivan
22
1986
A general theory of dual optimization problems. Zbl 0598.49011
Singer, Ivan
18
1986
Extensions of functions of 0-1 variables and applications to combinatorial optimization. Zbl 0546.90066
Singer, Ivan
15
1984
A general theory of surrogate dual and perturbational extended surrogate dual optimization problems. Zbl 0607.90089
Singer, Ivan
11
1984
Surrogate dual problems and surrogate Lagrangians. Zbl 0584.49006
Singer, Ivan
9
1984
Optimization by level set methods. V: Duality theorems for perturbed optimization problems. Zbl 0538.49004
Singer, Ivan
8
1984
Conjugate functionals and level sets. Zbl 0538.49005
Singer, Ivan
4
1984
Conjugation operators. Zbl 0545.49008
Singer, Ivan
2
1984
Generalized convexity, functional hulls and applications to conjugate duality in optimization. Zbl 0549.52001
Singer, Ivan
2
1984
Optimization by level set methods. II: Further duality formulae in the case of essential constraints. Zbl 0543.49005
Singer, Ivan
1
1984
Surrogate conjugate functionals and surrogate convexity. Zbl 0526.90097
Singer, Ivan
10
1983
The lower semi-continuous quasi-convex hull as a normalized second conjugate. Zbl 0528.49007
Singer, Ivan
10
1983
Optimization by level set methods. I: Duality formulae. Zbl 0522.49010
Singer, Ivan
2
1983
Abstract Pontryagin maximum principles for linear systems. Zbl 0529.49010
Singer, Ivan
1
1983
Optimization by level set methods. IV: Generalizations and complements. Zbl 0497.49022
Singer, Ivan
14
1982
Uniqueness and strong uniqueness of best approximations by spline subspaces and other subspaces. Zbl 0505.41018
Nürnberger, Günther; Singer, Ivan
13
1982
Optimization by level set methods. III: Characterizations of solutions in the presence of duality. Zbl 0496.49014
Singer, Ivan
6
1982
Bases in Banach spaces. II. Zbl 0467.46020
Singer, Ivan
122
1981
Duality theorems for perturbed convex optimization. Zbl 0462.90091
Singer, Ivan
7
1981
Optimization and best approximation. Zbl 0472.41023
Singer, Ivan
7
1981
On the perturbation and Lagrangian duality theories of Rockafellar and Kurcyusz. Zbl 0467.90077
Singer, Ivan
5
1981
Pseudo-conjugate functionals and pseudo-duality. Zbl 0478.90079
Singer, Ivan
1
1981
Minimization of continuous convex functionals on complements of convex subsets of locally convex spaces. Zbl 0449.90100
Singer, Ivan
21
1980
Weak Chebyshev subspaces and alternation. Zbl 0454.41030
Deutsch, Frank; Nürenberger, Günther; Singer, Ivan
14
1980
Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. II: Quasi-Lagrangian duality theorems. Zbl 0459.90088
Singer, Ivan
9
1980
Duality theorems for linear systems and convex systems. Zbl 0445.49007
Singer, Ivan
6
1980
Duality theorems for constrained convex optimization. Zbl 0526.49009
Singer, Ivan
4
1980
Extension with larger norm and separation with double support in normed linear spaces. Zbl 0412.46004
Singer, Ivan
4
1980
Best approximation by elements of caverns in normed linear spaces. Zbl 0436.41020
Franchetti, C.; Singer, Ivan
3
1980
A characterization of constant-time linear control systems satisfying the Pontryagin maximum principle. Zbl 0442.49015
Singer, Ivan
3
1980
On infima of sets in the plane and best approximation, simultaneous and vectorial, in a linear space with two norms. Zbl 0482.41026
Bacopoulos, Alexis; Godini, G.; Singer, Ivan
2
1980
A Fenchel-Rockafellar type duality theorem for maximization. Zbl 0404.90101
Singer, Ivan
34
1979
Best coapproximation in normed linear spaces. Zbl 0421.41017
Papini, Pier Luigi; Singer, Ivan
23
1979
Some new applications of the Fenchel-Rockafellar duality theorem: Lagrange multiplier theorems and hyperplane theorems for convex optimization and best approximation. Zbl 0444.41015
Singer, Ivan
15
1979
Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. I: Hyperplane theorems. Zbl 0421.90077
Singer, Ivan
12
1979
Generalizations of methods of best approximation to convex optimization in locally convex spaces. II: hyperbolic theorems. Zbl 0466.41013
Singer, Ivan
11
1979
Deviation and farthest points in normed linear spaces. Zbl 0409.41014
Franchetti, Carlo; Singer, Ivan
4
1979
On the Pontryagin maximum principle for constant-time linear control systems in Banach spaces. Zbl 0372.49011
Singer, Ivan
2
1979
On Banach spaces in which every M-basis is a generalized summation basis. Zbl 0421.46010
Singer, Ivan
1
1979
Infima of sets in the plane and applications to vectorial optimization. Zbl 0393.90089
Bacopoulos, Alexis; Godini, G.; Singer, Ivan
7
1978
On best approximation in vector-valued norms. Zbl 0425.41026
Bacopoulos, Alexis; Godini, G.; Singer, Ivan
3
1978
Some classes of non-linear operators generalizing the metric projections onto Cebysev subspaces. Zbl 0431.47041
Singer, Ivan
1
1978
On convex vectorial optimization in linear spaces. Zbl 0326.90052
Bacopoulos, Alexis; Singer, Ivan
8
1977
On Kadec-Klee norms on Banach spaces. Zbl 0321.46012
van Dulst, Dick; Singer, Ivan
6
1976
Some extensions of a dual of the Hahn-Banach theorem, with applications to separation and Helly type theorems. Zbl 0332.46012
Singer, Ivan
1
1976
The theory of best approximation and functional analysis. Zbl 0291.41020
Singer, Ivan
36
1974
Generalizations of methods of best approximation to convex optimization in locally convex space. I: Extension of continuous linear functionals and characterizations of solutions of continuous convex programs. Zbl 0283.49023
Singer, Ivan
6
1974
On the extension of basic sequences to bases. Zbl 0289.46013
Singer, Ivan
1
1974
...and 72 more Documents
all top 5

Cited by 1,333 Authors

82 Singer, Ivan
38 Mohebi, Hossein
34 Martínez-Legaz, Juan-Enrique
19 Rubinov, Alexander M.
17 Deutsch, Frank
17 Gaubert, Stéphane
14 Niţică, Viorel
14 Nürnberger, Günther
13 Li, Chong
13 Vlasov, L. P.
10 Holub, James R.
10 Sommer, Manfred
10 Volle, Michel
10 Yao, Jen-Chih
9 Brosowski, Bruno
9 Fonf, Vladimir P.
9 Kanzi, Nader
9 Plichko, Anatoliĭ Mykolaĭovych
9 Quesada, José María
9 Rao, T. S. S. R. K.
8 Doagooei, Ali Reza
8 Kadets, Vladimir M.
8 López-Cerdá, Marco Antonio
8 Narang, Tulsi Das
8 Polyrakis, Ioannis A.
7 Jain, Pawan Kumar
7 Khalil, Roshdi Rashid
7 Ng, Kung-Fu
7 Oikhberg, Timur
7 Oja, Eve
7 Pai, Devidas V.
7 Penot, Jean-Paul
7 Sergeev, Sergeĭ Mikhaĭlovich
6 Borodin, Petr A.
6 Casazza, Peter George
6 Chalmers, Bruce Longworthy
6 Jeyakumar, Vaithilingam
6 Katz, Ricardo David
6 Lin, Bor-Luh
6 Lindenstrauss, Joram
6 Martínez-Moreno, Juan
6 Mazaheri, Hamid
6 Morris, Peter D.
6 Navas, Juan
6 Reich, Simeon
6 Retherford, James R.
6 Sama, Miguel
6 Sanguineti, Marcello
6 Wojtaszczyk, Przemyslaw
6 Zheng, Xiyin
5 Akian, Marianne
5 Ansorena, José Luis
5 Couceiro, Miguel
5 Davis, William Jay
5 Gnecco, Giorgio
5 Godun, B. V.
5 Grabisch, Michel
5 Gupta, Manjul
5 Gupta, Sahil
5 Indumathi, V.
5 Johnson, William Buhmann
5 Kalton, Nigel John
5 Kamthan, Pawan Kumar
5 Lewicki, Grzegorz
5 Li, Wu
5 Luo, Xianfa
5 Marichal, Jean-Luc
5 Oshman, E. V.
5 Pantelidis, G.
5 Schrage, Carola
5 Sinha, Deba Prasad
5 Smarzewski, Ryszard
5 Valdivia Ureña, Manuel
5 Wanka, Gert
5 Wegmann, Rudolf
5 Wei, Zhou
5 Wójcik, Paweł
5 Young, Robert M.
4 Aksoy, Asuman Güven
4 Alimov, Alexey R.
4 Allamigeon, Xavier
4 Balaganskij, V. S.
4 Blasco, Oscar
4 Boţ, Radu Ioan
4 Briec, Walter
4 Chalendar, Isabelle
4 Fang, Donghui
4 Fernández-Ochoa, J.
4 Goberna, Miguel Angel
4 Godini, Gliceria
4 Haddadi, Mohammad Reza
4 Horvath, Charles D.
4 Huang, Hui
4 Hudzik, Henryk
4 Jiménez, Bienvenido
4 Kainen, Paul C.
4 Kamal, Aref K.
4 Klee, Victor LaRue
4 Kroó, András
4 Kutateladze, Semën Samsonovich
...and 1,233 more Authors
all top 5

Cited in 250 Serials

151 Journal of Approximation Theory
108 Journal of Mathematical Analysis and Applications
66 Mathematical Notes
61 Numerical Functional Analysis and Optimization
61 Optimization
59 Proceedings of the American Mathematical Society
53 Linear Algebra and its Applications
47 Journal of Optimization Theory and Applications
44 Mathematische Annalen
34 Journal of Functional Analysis
32 Journal of Global Optimization
31 Israel Journal of Mathematics
31 Transactions of the American Mathematical Society
22 Siberian Mathematical Journal
20 Archiv der Mathematik
17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
16 Bulletin of the Australian Mathematical Society
16 Mathematische Zeitschrift
16 Mathematical Programming. Series A. Series B
14 Acta Mathematica Hungarica
14 Bulletin of the American Mathematical Society
13 Optimization Letters
12 Monatshefte für Mathematik
12 Analysis in Theory and Applications
11 Mathematische Nachrichten
10 European Journal of Operational Research
9 Mathematical Proceedings of the Cambridge Philosophical Society
9 Rocky Mountain Journal of Mathematics
9 Czechoslovak Mathematical Journal
9 Journal of Soviet Mathematics
9 Manuscripta Mathematica
9 Numerische Mathematik
9 Set-Valued and Variational Analysis
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Fuzzy Sets and Systems
8 Glasgow Mathematical Journal
8 Quaestiones Mathematicae
7 Analysis Mathematica
7 Functional Analysis and its Applications
7 Constructive Approximation
7 Journal of Mathematical Sciences (New York)
7 Journal of Convex Analysis
7 Journal of Inequalities and Applications
7 Banach Journal of Mathematical Analysis
6 Periodica Mathematica Hungarica
6 Advances in Mathematics
6 Results in Mathematics
6 Probability Theory and Related Fields
6 Set-Valued Analysis
6 Positivity
6 Acta Mathematica Sinica. English Series
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Applicable Analysis
5 Applied Mathematics and Optimization
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Rendiconti del Seminario Matemàtico e Fisico di Milano
5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
5 Applied Mathematics Letters
5 Journal of Function Spaces
5 Nonlinear Analysis. Theory, Methods & Applications
4 Linear and Multilinear Algebra
4 Moscow University Mathematics Bulletin
4 Acta Mathematica
4 Journal of Mathematical Economics
4 Mathematical Programming
4 Mathematika
4 Topology and its Applications
4 Zeitschrift für Analysis und ihre Anwendungen
4 SIAM Journal on Discrete Mathematics
4 Aequationes Mathematicae
4 Applied Mathematics. Series B (English Edition)
4 Top
4 Abstract and Applied Analysis
4 Mathematical Methods of Operations Research
4 Journal of Applied Mathematics
3 Acta Mathematica Academiae Scientiarum Hungaricae
3 Computers & Mathematics with Applications
3 Studia Mathematica
3 Arkiv för Matematik
3 Compositio Mathematica
3 Computing
3 Journal of Statistical Planning and Inference
3 Kybernetika
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Tohoku Mathematical Journal. Second Series
3 Statistics & Probability Letters
3 Acta Mathematicae Applicatae Sinica. English Series
3 Discrete & Computational Geometry
3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
3 ZOR. Zeitschrift für Operations Research
3 SIAM Journal on Optimization
3 The Journal of Fourier Analysis and Applications
3 Journal of Applied Analysis
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Optimization Methods & Software
2 Discrete Applied Mathematics
2 Ukrainian Mathematical Journal
2 Annales de l’Institut Fourier
2 Applied Mathematics and Computation
2 International Journal of Mathematics and Mathematical Sciences
...and 150 more Serials
all top 5

Cited in 54 Fields

606 Functional analysis (46-XX)
422 Approximations and expansions (41-XX)
277 Operations research, mathematical programming (90-XX)
215 Operator theory (47-XX)
180 Calculus of variations and optimal control; optimization (49-XX)
114 Convex and discrete geometry (52-XX)
73 Real functions (26-XX)
57 Harmonic analysis on Euclidean spaces (42-XX)
53 General topology (54-XX)
45 Linear and multilinear algebra; matrix theory (15-XX)
44 Probability theory and stochastic processes (60-XX)
39 Numerical analysis (65-XX)
33 Order, lattices, ordered algebraic structures (06-XX)
28 Ordinary differential equations (34-XX)
27 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Measure and integration (28-XX)
21 Systems theory; control (93-XX)
19 Functions of a complex variable (30-XX)
19 Statistics (62-XX)
16 Partial differential equations (35-XX)
14 Algebraic geometry (14-XX)
13 Mathematical logic and foundations (03-XX)
13 Global analysis, analysis on manifolds (58-XX)
12 Computer science (68-XX)
11 Associative rings and algebras (16-XX)
11 Sequences, series, summability (40-XX)
8 Combinatorics (05-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Abstract harmonic analysis (43-XX)
6 General algebraic systems (08-XX)
6 Topological groups, Lie groups (22-XX)
6 Special functions (33-XX)
6 Algebraic topology (55-XX)
6 Information and communication theory, circuits (94-XX)
5 Group theory and generalizations (20-XX)
5 Potential theory (31-XX)
5 Difference and functional equations (39-XX)
5 Integral transforms, operational calculus (44-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Integral equations (45-XX)
4 Geometry (51-XX)
4 Biology and other natural sciences (92-XX)
3 History and biography (01-XX)
3 Field theory and polynomials (12-XX)
3 Differential geometry (53-XX)
3 Mechanics of deformable solids (74-XX)
2 Category theory; homological algebra (18-XX)
2 Mechanics of particles and systems (70-XX)
2 Quantum theory (81-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)
1 Statistical mechanics, structure of matter (82-XX)

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