## Singer, Ivan

Compute Distance To:
 Author ID: singer.ivan Published as: Singer, Ivan; Singer, I.; SInger, Ivan more...less External Links: Wikidata · IdRef
 Documents Indexed: 221 Publications since 1953, including 7 Books Co-Authors: 27 Co-Authors with 67 Joint Publications 716 Co-Co-Authors
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### Co-Authors

 153 single-authored 25 Martínez-Legaz, Juan-Enrique 8 Niţică, Viorel 4 Bacopoulos, Alexis 4 Dean, David W. 4 Deutsch, Frank 4 Foiaş, Ciprian Ilie 4 Rubinov, Alexander M. 3 Davis, William Jay 3 Godini, Gliceria 3 Li, Wu 3 Nürnberger, Günther 2 Akian, Marianne 2 Franchetti, Carlo 2 Gaubert, Stéphane 2 Lin, Bor-Luh 1 Cohen, Guy 1 Getán, Jesús 1 Levin, Mark Sh. 1 McArthur, Charles W. 1 Morris, Peter D. 1 Nahak, Chandal 1 Papini, Pier Luigi 1 Pełczyński, Aleksander 1 Pollul, Walter 1 Quadrat, Jean-Pierre 1 Sternbach, Leonard 1 van Dulst, Dick
all top 5

all top 5

### Fields

 98 Functional analysis (46-XX) 57 Operations research, mathematical programming (90-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 25 Convex and discrete geometry (52-XX) 23 Approximations and expansions (41-XX) 21 Order, lattices, ordered algebraic structures (06-XX) 16 Real functions (26-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Operator theory (47-XX) 5 Systems theory; control (93-XX) 3 Field theory and polynomials (12-XX) 3 General topology (54-XX) 2 Combinatorics (05-XX) 2 General algebraic systems (08-XX) 2 Associative rings and algebras (16-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Global analysis, analysis on manifolds (58-XX)

### Citations contained in zbMATH Open

174 Publications have been cited 2,271 times in 1,604 Documents Cited by Year
Best approximation in normed linear spaces by elements of linear subspaces. Zbl 0197.38601
Singer, Ivan
1970
Bases in Banach spaces. I. Zbl 0198.16601
Singer, Ivan
1970
Bases in Banach spaces. II. Zbl 0467.46020
Singer, Ivan
1981
Abstract convex analysis. Zbl 0898.49001
Singer, Ivan
1997
Constraint qualifications for semi-infinite systems of convex inequalities. Zbl 0999.90045
Li, Wu; Nahak, Chandal; Singer, Ivan
2000
Topical and sub-topical functions, downward sets and abstract convexity. Zbl 1007.26010
Rubinov, A. M.; Singer, Ivan
2001
Some remarks on approximative compactness. Zbl 0166.39405
Singer, Ivan
1964
The theory of best approximation and functional analysis. Zbl 0291.41020
Singer, Ivan
1974
Downward sets and their separation and approximation properties. Zbl 1013.90101
Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan
2002
A Fenchel-Rockafellar type duality theorem for maximization. Zbl 0404.90101
Singer, Ivan
1979
Max-plus convex sets and functions. Zbl 1093.26005
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre; Singer, Ivan
2005
Basic sequences and reflexivity of Banach spaces. Zbl 0114.30903
Singer, Ivan
1962
On non-equivalent bases and conditional bases in Banach spaces. Zbl 0187.05403
Pełczyński, Aleksander; Singer, Ivan
1964
Some remarks on the representation of linear operators in spaces of vector-valued continuous functions. Zbl 0102.32302
Foiaš, Ciprian; Singer, Ivan
1960
Best coapproximation in normed linear spaces. Zbl 0421.41017
Papini, Pier Luigi; Singer, Ivan
1979
Some relations between dualities, polarities, coupling functionals, and conjugations. Zbl 0601.46043
Singer, Ivan
1986
Best approximation by normal and conormal sets. Zbl 0967.41017
Rubinov, A. M.; Singer, Ivan
2000
Caractérisation des éléments de meilleure approximation dans un espace de Banach quelconque. Zbl 0072.13003
Singer, Ivan
1956
Global error bounds for convex multifunctions and applications. Zbl 0977.90054
Li, Wu; Singer, Ivan
1998
Minimization of continuous convex functionals on complements of convex subsets of locally convex spaces. Zbl 0449.90100
Singer, Ivan
1980
A general theory of dual optimization problems. Zbl 0598.49011
Singer, Ivan
1986
On the set of the best approximations of an element in a normed linear space. Zbl 0122.34801
Singer, Ivan
1960
Max-plus convex sets and max-plus semispaces. I. Zbl 1121.52002
Nitica, V.; Singer, Ivan
2007
On set-valued metric projections, Hahn-Banach extension maps, and spherical image maps. Zbl 0267.41013
Deutsch, Frank; Pollul, Walter; Singer, Ivan
1973
Extensions of functions of 0-1 variables and applications to combinatorial optimization. Zbl 0546.90066
Singer, Ivan
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
1979
Optimization by level set methods. IV: Generalizations and complements. Zbl 0497.49022
Singer, Ivan
1982
Weak Chebyshev subspaces and alternation. Zbl 0454.41030
Deutsch, Frank; Nürenberger, Günther; Singer, Ivan
1980
The distance to a polyhedron. Zbl 0759.15008
Bergthaller, C.; Singer, Ivan
1992
Points of diffusion of linear operators and almost diffuse operators in spaces of continuous functions. Zbl 0132.09904
Foiaš, Ciprian; Singer, Ivan
1965
Duality for nonconvex approximation and optimization. Zbl 1119.90002
Singer, Ivan
2006
Uniqueness and strong uniqueness of best approximations by spline subspaces and other subspaces. Zbl 0505.41018
Nürnberger, Günther; Singer, Ivan
1982
Topologies on lattice ordered groups, separation from closed downward sets and conjugations of type Lau. Zbl 1049.06014
Akian, Marianne; Singer, Ivan
2003
Best approximation in max-plus semimodules. Zbl 1226.15016
Akian, Marianne; Gaubert, Stéphane; Niţică, Viorel; Singer, Ivan
2011
Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. I: Hyperplane theorems. Zbl 0421.90077
Singer, Ivan
1979
Bases and quasi-reflexivity of Banach-spaces. Zbl 0116.31502
Singer, Ivan
1964
Some characterizations of symmetric bases in Banach spaces. Zbl 0119.10005
Singer, Ivan
1962
A general theory of surrogate dual and perturbational extended surrogate dual optimization problems. Zbl 0607.90089
Singer, Ivan
1984
Generalizations of methods of best approximation to convex optimization in locally convex spaces. II: hyperbolic theorems. Zbl 0466.41013
Singer, Ivan
1979
The structure of max-plus hyperplanes. Zbl 1130.52001
Nitica, V.; Singer, Ivan
2007
Max-plus convex sets and max-plus semispaces. II. Zbl 1127.52001
Nitica, V.; Singer, Ivan
2007
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
1959
Infimal generators and dualities between complete lattices. Zbl 0638.06006
Singer, Ivan
1987
$$\bigvee$$-dualities and $$\perp$$-dualities. Zbl 0728.06007
Martínez-Legaz, J.-E.; Singer, Ivan
1991
Dualities between complete lattices. Zbl 0728.90071
Martinez-Legaz, J.-E.; Singer, Ivan
1990
The structure of hemispaces in $${\mathbb{R}}^ n$$. Zbl 0656.52004
Martínez-Legaz, Juan-Enrique; Singer, Ivan
1988
Surrogate conjugate functionals and surrogate convexity. Zbl 0526.90097
Singer, Ivan
1983
The lower semi-continuous quasi-convex hull as a normalized second conjugate. Zbl 0528.49007
Singer, Ivan
1983
On Banach spaces with a symmetric basis. (Über Banachsche Räume mit symmetrischer Basis.) Zbl 0107.32602
Singer, Ivan
1961
Surrogate dual problems and surrogate Lagrangians. Zbl 0584.49006
Singer, Ivan
1984
Lexicographical separation in $${\mathbb{R}}^ n$$. Zbl 0614.52003
Martínez-Legaz, Juan-Enrique; Singer, Ivan
1987
Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. II: Quasi-Lagrangian duality theorems. Zbl 0459.90088
Singer, Ivan
1980
On radiant sets, downward sets, topical functions and sub-topical functions in lattice ordered groups. Zbl 1066.26006
Singer, Ivan
2004
Weak compactness, pseudo-reflexivity and quasi-reflexivity. Zbl 0117.08301
Singer, Ivan
1964
Optimization by level set methods. V: Duality theorems for perturbed optimization problems. Zbl 0538.49004
Singer, Ivan
1984
On convex vectorial optimization in linear spaces. Zbl 0326.90052
Bacopoulos, Alexis; Singer, Ivan
1977
Further applications of the additive min-type coupling function. Zbl 1014.49027
Singer, Ivan
2002
$$({\ast},s)$$-dualities. Zbl 1136.49315
Getán, J.; Martínez-Legaz, J.-E.; Singer, Ivan
2003
Infima of sets in the plane and applications to vectorial optimization. Zbl 0393.90089
Bacopoulos, Alexis; Godini, G.; Singer, Ivan
1978
Some further duality theorems for optimization problems with reverse convex constraint sets. Zbl 0770.49021
Singer, Ivan
1992
On the extension of continuous linear functionals and best approximation in normed linear spaces. Zbl 0141.12002
Singer, Ivan
1965
On biorthogonal systems and total sequences of functionals. II. Zbl 0233.46028
Singer, Ivan
1973
Duality theorems for perturbed convex optimization. Zbl 0462.90091
Singer, Ivan
1981
Optimization and best approximation. Zbl 0472.41023
Singer, Ivan
1981
Some remarks on strongly linearly independent sequences and bases in Banach spaces. Zbl 0106.08603
Foiaš, Ciprian; Singer, Ivan
1961
On bases in quasi-reflexive Banach spaces. Zbl 0135.34503
Singer, Ivan
1963
Complemented subspaces and $$\Lambda$$ systems in Banach spaces. Zbl 0169.15401
Davis, W. J.; Dean, D. W.; Singer, Ivan
1968
Subdifferentials with respect to dualities. Zbl 0838.90111
Martinez-Legaz, Juan-Enrique; Singer, Ivan
1995
$$*$$-dualities. Zbl 0815.49026
Martinez-Legaz, Juan-Enrique; Singer, Ivan
1994
Lexicographical order, lexicographical index, and linear operators. Zbl 0711.52002
Martínez-Legaz, Juan-Enrique; Singer, Ivan
1990
On a problem of T. J. Rivlin in approximation theory. Zbl 0193.09201
Deutsch, Frank; Morris, Peter D.; Singer, Ivan
1969
Optimization by level set methods. III: Characterizations of solutions in the presence of duality. Zbl 0496.49014
Singer, Ivan
1982
On best approximation in normed linear spaces by elements of subspaces of finite codimension. Zbl 0249.41023
Singer, Ivan
1972
Boundedly complete M-bases and complemented subspaces in Banach spaces. Zbl 0256.46027
Davis, William J.; Singer, Ivan
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
1974
On Kadec-Klee norms on Banach spaces. Zbl 0321.46012
van Dulst, Dick; Singer, Ivan
1976
Duality theorems for linear systems and convex systems. Zbl 0445.49007
Singer, Ivan
1980
Les duals de certains espaces de Banach de champs de vecteurs. I, II. Zbl 0094.09205
Singer, Ivan
1958
On Banach spaces reflexive with respect to a linear subspace of their conjugate space. Zbl 0098.08001
Singer, Ivan
1958
On bases in $$C([0,1])$$ and $$L^ 1([0,1])$$. Zbl 0141.31102
Foiaš, Ciprian; Singer, Ivan
1965
Weak$$^ *$$ bases in conjugate Banach spaces. II. Zbl 0143.35003
Singer, Ivan
1963
Surrogate duality for vector optimization. Zbl 0609.49012
Martinez-Legaz, Juan-Enrique; Singer, Ivan
1987
Contributions to max-min convex geometry. I: Segments. Zbl 1134.52300
Nitica, V.; Singer, Ivan
2008
On conjugations for functions with values in extensions of ordered groups. Zbl 0899.49016
Martínez-Legaz, Juan-Enrique; Singer, Ivan
1997
Deviation and farthest points in normed linear spaces. Zbl 0409.41014
Franchetti, Carlo; Singer, Ivan
1979
On the perturbation and Lagrangian duality theories of Rockafellar and Kurcyusz. Zbl 0467.90077
Singer, Ivan
1981
On a theorem of J. D. Weston. Zbl 0087.10703
Singer, Ivan
1959
Remarque sur théorème d’approximation de H. Yamabe. Zbl 0086.09202
Singer, Ivan
1959
Sur la meilleure approximation des fonctions abstraites continues à valeurs dans un espace de Banach. Zbl 0087.31602
Singer, Ivan
1957
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
1960
On Banach spaces reflexive with respect to a linear subspace of their conjugate space. III. Zbl 0143.35004
Singer, Ivan
1963
On the basis problem in topological linear spaces. Zbl 0148.11201
Singer, Ivan
1965
Optimization by level set methods. VI: Generalizations of surrogate type reverse convex duality. Zbl 0638.49006
Singer, Ivan
1987
On the cones associated with biorthogonal systems and bases in Banach spaces. Zbl 0188.43501
McArthur, C. W.; Singer, Ivan; Levin, M.
1969
On $$k$$-shrinking and $$k$$-boundedly complete bases in Banach spaces. Zbl 0189.42901
Dean, D. W.; Lin, B.-L.; Singer, Ivan
1970
Some remarks on domination of sequences. Zbl 0195.12803
Singer, Ivan
1970
Contributions to max-min convex geometry. II: Semispaces and convex sets. Zbl 1320.52001
Nitica, V.; Singer, I.
2008
Duality theorems for constrained convex optimization. Zbl 0526.49009
Singer, Ivan
1980
Conjugate functionals and level sets. Zbl 0538.49005
Singer, Ivan
1984
On shrinking basic sequences in Banach spaces. Zbl 0223.46018
Dean, David W.; Singer, Ivan; Sternbach, Leonard
1971
Extended-valued topical and anti-topical functions on semimodules. Zbl 1309.06014
Singer, Ivan; Nitica, Viorel
2014
Topical functions on semimodules and generalizations. Zbl 1284.06048
Singer, Ivan; Nitica, Viorel
2012
Best approximation in max-plus semimodules. Zbl 1226.15016
Akian, Marianne; Gaubert, Stéphane; Niţică, Viorel; Singer, Ivan
2011
Elementary topical functions on $$b$$-complete semimodules over $$b$$-complete idempotent semifields. Zbl 1211.06010
Singer, Ivan
2010
Contributions to max-min convex geometry. I: Segments. Zbl 1134.52300
Nitica, V.; Singer, Ivan
2008
Contributions to max-min convex geometry. II: Semispaces and convex sets. Zbl 1320.52001
Nitica, V.; Singer, I.
2008
Max-plus convex sets and max-plus semispaces. I. Zbl 1121.52002
Nitica, V.; Singer, Ivan
2007
The structure of max-plus hyperplanes. Zbl 1130.52001
Nitica, V.; Singer, Ivan
2007
Max-plus convex sets and max-plus semispaces. II. Zbl 1127.52001
Nitica, V.; Singer, Ivan
2007
Duality for nonconvex approximation and optimization. Zbl 1119.90002
Singer, Ivan
2006
Some conjugation formulas and subdifferential formulas of convex analysis revisited. Zbl 1211.49018
Martínez-Legaz, J.-E.; Singer, Ivan
2006
Max-plus convex sets and functions. Zbl 1093.26005
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre; Singer, Ivan
2005
On radiant sets, downward sets, topical functions and sub-topical functions in lattice ordered groups. Zbl 1066.26006
Singer, Ivan
2004
Topologies on lattice ordered groups, separation from closed downward sets and conjugations of type Lau. Zbl 1049.06014
Akian, Marianne; Singer, Ivan
2003
$$({\ast},s)$$-dualities. Zbl 1136.49315
Getán, J.; Martínez-Legaz, J.-E.; Singer, Ivan
2003
Some relations between linear mappings and conjugations in idempotent analysis. Zbl 1055.49021
Singer, Ivan
2003
Downward sets and their separation and approximation properties. Zbl 1013.90101
Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan
2002
Further applications of the additive min-type coupling function. Zbl 1014.49027
Singer, Ivan
2002
Topical and sub-topical functions, downward sets and abstract convexity. Zbl 1007.26010
Rubinov, A. M.; Singer, Ivan
2001
Asymptotic constraint qualifications and error bounds for semi-infinite systems of convex inequalities. Zbl 1169.90462
Li, Wu; Singer, Ivan
2001
Constraint qualifications for semi-infinite systems of convex inequalities. Zbl 0999.90045
Li, Wu; Nahak, Chandal; Singer, Ivan
2000
Best approximation by normal and conormal sets. Zbl 0967.41017
Rubinov, A. M.; Singer, Ivan
2000
Distance to the intersection of normal sets and applications. Zbl 0969.26010
Rubinov, A. M.; Singer, Ivan
2000
Lagrangian duality theorems for reverse convex infimization. Zbl 0986.90072
Singer, Ivan
2000
Duality in quasi-convex supremization and reverse convex infimization via abstract convex analysis, and applications to approximation. Zbl 0941.49020
Singer, Ivan
1999
Global error bounds for convex multifunctions and applications. Zbl 0977.90054
Li, Wu; Singer, Ivan
1998
Duality for optimization and best approximation over finite intersections. Zbl 0923.46071
Singer, Ivan
1998
On $$\Phi$$-convexity of convex functions. Zbl 0952.26009
Martínez-Legaz, Juan-Enrique; Singer, Ivan
1998
Abstract convex analysis. Zbl 0898.49001
Singer, Ivan
1997
On conjugations for functions with values in extensions of ordered groups. Zbl 0899.49016
Martínez-Legaz, Juan-Enrique; Singer, Ivan
1997
An extension of d. c. duality theory, with an appendix on $$*$$-subdifferentials. Zbl 0893.90143
Martínez-Legaz, J.-E.; Singer, Ivan
1997
Subdifferentials with respect to dualities. Zbl 0838.90111
Martinez-Legaz, Juan-Enrique; Singer, Ivan
1995
Dualities associated to binary operations on $$\overline {R}$$. Zbl 0832.06004
Martínez-Legaz, Juan-Enrique; Singer, Ivan
1995
$$*$$-dualities. Zbl 0815.49026
Martinez-Legaz, Juan-Enrique; Singer, Ivan
1994
On single-valuedness of convex set-valued maps. Zbl 0807.46011
Deutsch, Frank; Singer, Ivan
1993
The distance to a polyhedron. Zbl 0759.15008
Bergthaller, C.; Singer, Ivan
1992
Some further duality theorems for optimization problems with reverse convex constraint sets. Zbl 0770.49021
Singer, Ivan
1992
Some characterizations of surrogate dual problems. Zbl 0817.90112
Martínez-Legaz, J.-E.; Singer, Ivan
1992
$$\bigvee$$-dualities and $$\perp$$-dualities. Zbl 0728.06007
Martínez-Legaz, J.-E.; Singer, Ivan
1991
Some characterizations of $$\varphi$$-Lagrangian dual problems. Zbl 0753.49017
Martínez-Legaz, J.-E.; Singer, Ivan
1991
Compatible preorders and linear operators on $${\mathbb{R}}^ n$$. Zbl 0726.15014
Martínez-Legaz, Juan-Enrique; SInger, Ivan
1991
Multi-order convexity. Zbl 0741.52001
Martínez-Legaz, Juan-Enrique; Singer, Ivan
1991
Some further relations between unperturbational and perturbational dual optimization problems. Zbl 0743.90112
Singer, Ivan
1991
Dualities between complete lattices. Zbl 0728.90071
Martinez-Legaz, J.-E.; Singer, Ivan
1990
Lexicographical order, lexicographical index, and linear operators. Zbl 0711.52002
Martínez-Legaz, Juan-Enrique; Singer, Ivan
1990
A characterization of Lagrangian dual problems. Zbl 0771.49006
Martinez-Legaz, J.-E.; Singer, I.
1990
The structure of hemispaces in $${\mathbb{R}}^ n$$. Zbl 0656.52004
Martínez-Legaz, Juan-Enrique; Singer, Ivan
1988
Abstract subdifferentials and some characterizations of optimal solutions. Zbl 0619.49007
Singer, Ivan
1988
Infimal generators and dualities between complete lattices. Zbl 0638.06006
Singer, Ivan
1987
Lexicographical separation in $${\mathbb{R}}^ n$$. Zbl 0614.52003
Martínez-Legaz, Juan-Enrique; Singer, Ivan
1987
Surrogate duality for vector optimization. Zbl 0609.49012
Martinez-Legaz, Juan-Enrique; Singer, Ivan
1987
Optimization by level set methods. VI: Generalizations of surrogate type reverse convex duality. Zbl 0638.49006
Singer, Ivan
1987
Generalizations of convex supremization duality. Zbl 0652.49016
Singer, Ivan
1987
Some relations between dualities, polarities, coupling functionals, and conjugations. Zbl 0601.46043
Singer, Ivan
1986
A general theory of dual optimization problems. Zbl 0598.49011
Singer, Ivan
1986
Extensions of functions of 0-1 variables and applications to combinatorial optimization. Zbl 0546.90066
Singer, Ivan
1984
A general theory of surrogate dual and perturbational extended surrogate dual optimization problems. Zbl 0607.90089
Singer, Ivan
1984
Surrogate dual problems and surrogate Lagrangians. Zbl 0584.49006
Singer, Ivan
1984
Optimization by level set methods. V: Duality theorems for perturbed optimization problems. Zbl 0538.49004
Singer, Ivan
1984
Conjugate functionals and level sets. Zbl 0538.49005
Singer, Ivan
1984
Conjugation operators. Zbl 0545.49008
Singer, Ivan
1984
Generalized convexity, functional hulls and applications to conjugate duality in optimization. Zbl 0549.52001
Singer, Ivan
1984
Optimization by level set methods. II: Further duality formulae in the case of essential constraints. Zbl 0543.49005
Singer, Ivan
1984
Surrogate conjugate functionals and surrogate convexity. Zbl 0526.90097
Singer, Ivan
1983
The lower semi-continuous quasi-convex hull as a normalized second conjugate. Zbl 0528.49007
Singer, Ivan
1983
Optimization by level set methods. I: Duality formulae. Zbl 0522.49010
Singer, Ivan
1983
Abstract Pontryagin maximum principles for linear systems. Zbl 0529.49010
Singer, Ivan
1983
Optimization by level set methods. IV: Generalizations and complements. Zbl 0497.49022
Singer, Ivan
1982
Uniqueness and strong uniqueness of best approximations by spline subspaces and other subspaces. Zbl 0505.41018
Nürnberger, Günther; Singer, Ivan
1982
Optimization by level set methods. III: Characterizations of solutions in the presence of duality. Zbl 0496.49014
Singer, Ivan
1982
Bases in Banach spaces. II. Zbl 0467.46020
Singer, Ivan
1981
Duality theorems for perturbed convex optimization. Zbl 0462.90091
Singer, Ivan
1981
Optimization and best approximation. Zbl 0472.41023
Singer, Ivan
1981
On the perturbation and Lagrangian duality theories of Rockafellar and Kurcyusz. Zbl 0467.90077
Singer, Ivan
1981
Pseudo-conjugate functionals and pseudo-duality. Zbl 0478.90079
Singer, Ivan
1981
Minimization of continuous convex functionals on complements of convex subsets of locally convex spaces. Zbl 0449.90100
Singer, Ivan
1980
Weak Chebyshev subspaces and alternation. Zbl 0454.41030
Deutsch, Frank; Nürenberger, Günther; Singer, Ivan
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
1980
Duality theorems for linear systems and convex systems. Zbl 0445.49007
Singer, Ivan
1980
Duality theorems for constrained convex optimization. Zbl 0526.49009
Singer, Ivan
1980
Extension with larger norm and separation with double support in normed linear spaces. Zbl 0412.46004
Singer, Ivan
1980
Best approximation by elements of caverns in normed linear spaces. Zbl 0436.41020
Franchetti, C.; Singer, Ivan
1980
A characterization of constant-time linear control systems satisfying the Pontryagin maximum principle. Zbl 0442.49015
Singer, Ivan
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
1980
A Fenchel-Rockafellar type duality theorem for maximization. Zbl 0404.90101
Singer, Ivan
1979
Best coapproximation in normed linear spaces. Zbl 0421.41017
Papini, Pier Luigi; Singer, Ivan
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
1979
Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. I: Hyperplane theorems. Zbl 0421.90077
Singer, Ivan
1979
Generalizations of methods of best approximation to convex optimization in locally convex spaces. II: hyperbolic theorems. Zbl 0466.41013
Singer, Ivan
1979
Deviation and farthest points in normed linear spaces. Zbl 0409.41014
Franchetti, Carlo; Singer, Ivan
1979
On the Pontryagin maximum principle for constant-time linear control systems in Banach spaces. Zbl 0372.49011
Singer, Ivan
1979
On Banach spaces in which every M-basis is a generalized summation basis. Zbl 0421.46010
Singer, Ivan
1979
Infima of sets in the plane and applications to vectorial optimization. Zbl 0393.90089
Bacopoulos, Alexis; Godini, G.; Singer, Ivan
1978
On best approximation in vector-valued norms. Zbl 0425.41026
Bacopoulos, Alexis; Godini, G.; Singer, Ivan
1978
Some classes of non-linear operators generalizing the metric projections onto Cebysev subspaces. Zbl 0431.47041
Singer, Ivan
1978
On convex vectorial optimization in linear spaces. Zbl 0326.90052
Bacopoulos, Alexis; Singer, Ivan
1977
On Kadec-Klee norms on Banach spaces. Zbl 0321.46012
van Dulst, Dick; Singer, Ivan
1976
Some extensions of a dual of the Hahn-Banach theorem, with applications to separation and Helly type theorems. Zbl 0332.46012
Singer, Ivan
1976
The theory of best approximation and functional analysis. Zbl 0291.41020
Singer, Ivan
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
1974
...and 74 more Documents
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### Cited by 1,406 Authors

 83 Singer, Ivan 43 Mohebi, Hossein 38 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 Rao, T. S. S. R. K. 10 Sommer, Manfred 10 Volle, Michel 10 Yao, Jen-Chih 9 Brosowski, Bruno 9 Fonf, Vladimir P. 9 Kanzi, Nader 9 López-Cerdá, Marco Antonio 9 Plichko, Anatoliĭ Mykolaĭovych 9 Quesada, José María 8 Doagooei, Ali Reza 8 Kadets, Vladimir M. 8 Narang, Tulsi Das 8 Polyrakis, Ioannis A. 7 Gupta, Manjul 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 Ansorena, José Luis 6 Borodin, Petr A. 6 Briec, Walter 6 Casazza, Peter George 6 Chalmers, Bruce Longworthy 6 Jeyakumar, Vaithilingam 6 Katz, Ricardo David 6 Kroó, András 6 Lin, Bor-Luh 6 Lindenstrauss, Joram 6 Martínez-Moreno, Juan 6 Morris, Peter D. 6 Navas, Juan 6 Reich, Simeon 6 Retherford, James R. 6 Sama, Miguel 6 Sanguineti, Marcello 6 Wójcik, Paweł 6 Wojtaszczyk, Przemyslaw 6 Zheng, Xiyin 5 Akian, Marianne 5 Couceiro, Miguel 5 Davis, William Jay 5 Gnecco, Giorgio 5 Godun, B. V. 5 Grabisch, Michel 5 Gupta, Sahil 5 Horvath, Charles D. 5 Indumathi, V. 5 Johnson, William Buhmann 5 Kalton, Nigel John 5 Kamthan, Pawan Kumar 5 Lewicki, Grzegorz 5 Lewis, Paul W. 5 Li, Wu 5 Luo, Xianfa 5 Marichal, Jean-Luc 5 Pantelidis, G. 5 Schrage, Carola 5 Shang, Shaoqiang 5 Sinha, Deba Prasad 5 Smarzewski, Ryszard 5 Valdivia Ureña, Manuel 5 Wanka, Gert 5 Wegmann, Rudolf 5 Wei, Zhou 5 Young, Robert M. 4 Aksoy, Asuman Güven 4 Albiac, Fernando 4 Alimov, Alexey R. 4 Allamigeon, Xavier 4 Balaganskij, V. S. 4 Blasco, Oscar 4 Boţ, Radu Ioan 4 Chalendar, Isabelle 4 Chancelier, Jean-Philippe 4 de Lara, Michel 4 Fang, Donghui 4 Fernández-Ochoa, J. 4 Goberna, Miguel Angel 4 Godini, Gliceria 4 Gorokhovik, Valentin Vikent’evich 4 Haddadi, Mohammad Reza 4 Huang, Hui 4 Hudzik, Henryk 4 Jiménez, Bienvenido ...and 1,306 more Authors
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### Cited in 279 Serials

 151 Journal of Approximation Theory 113 Journal of Mathematical Analysis and Applications 66 Mathematical Notes 64 Optimization 61 Numerical Functional Analysis and Optimization 60 Proceedings of the American Mathematical Society 54 Linear Algebra and its Applications 48 Journal of Optimization Theory and Applications 44 Mathematische Annalen 36 Journal of Functional Analysis 32 Transactions of the American Mathematical Society 32 Journal of Global Optimization 31 Israel Journal of Mathematics 22 Siberian Mathematical Journal 21 Archiv der Mathematik 18 Mathematical Programming. Series A. Series B 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Bulletin of the Australian Mathematical Society 16 Mathematische Zeitschrift 15 Acta Mathematica Hungarica 14 Bulletin of the American Mathematical Society 14 Optimization Letters 12 Monatshefte für Mathematik 12 Analysis in Theory and Applications 12 Set-Valued and Variational Analysis 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 Journal of Convex 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 Advances in Mathematics 7 Functional Analysis and its Applications 7 Results in Mathematics 7 Constructive Approximation 7 Journal of Mathematical Sciences (New York) 7 Journal of Inequalities and Applications 7 Banach Journal of Mathematical Analysis 6 Applicable Analysis 6 Periodica Mathematica Hungarica 6 Applied Mathematics and Optimization 6 Set-Valued Analysis 6 Positivity 6 Acta Mathematica Sinica. English Series 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Rendiconti del Seminario Matemàtico e Fisico di Milano 5 Probability Theory and Related Fields 5 Applied Mathematics Letters 5 Top 5 Journal of Function Spaces 5 Nonlinear Analysis. Theory, Methods & Applications 4 Linear and Multilinear Algebra 4 Moscow University Mathematics Bulletin 4 Studia Mathematica 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 Filomat 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 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 Tôhoku Mathematical Journal. Second Series 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 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 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Hacettepe Journal of Mathematics and Statistics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Discrete Applied Mathematics ...and 179 more Serials
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### Cited in 55 Fields

 648 Functional analysis (46-XX) 436 Approximations and expansions (41-XX) 294 Operations research, mathematical programming (90-XX) 228 Operator theory (47-XX) 190 Calculus of variations and optimal control; optimization (49-XX) 121 Convex and discrete geometry (52-XX) 81 Real functions (26-XX) 61 Harmonic analysis on Euclidean spaces (42-XX) 58 General topology (54-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 42 Numerical analysis (65-XX) 41 Probability theory and stochastic processes (60-XX) 36 Order, lattices, ordered algebraic structures (06-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Ordinary differential equations (34-XX) 23 Measure and integration (28-XX) 22 Systems theory; control (93-XX) 20 Functions of a complex variable (30-XX) 19 Statistics (62-XX) 18 Partial differential equations (35-XX) 16 Mathematical logic and foundations (03-XX) 16 Algebraic geometry (14-XX) 13 Global analysis, analysis on manifolds (58-XX) 13 Computer science (68-XX) 11 Associative rings and algebras (16-XX) 11 Sequences, series, summability (40-XX) 10 Abstract harmonic analysis (43-XX) 8 Combinatorics (05-XX) 8 Topological groups, Lie groups (22-XX) 8 Several complex variables and analytic spaces (32-XX) 6 General algebraic systems (08-XX) 6 Special functions (33-XX) 6 Algebraic topology (55-XX) 6 Biology and other natural sciences (92-XX) 6 Information and communication theory, circuits (94-XX) 5 Potential theory (31-XX) 5 Difference and functional equations (39-XX) 5 Integral transforms, operational calculus (44-XX) 5 Geometry (51-XX) 4 History and biography (01-XX) 4 Group theory and generalizations (20-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral equations (45-XX) 3 Field theory and polynomials (12-XX) 3 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-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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