Edit Profile (opens in new tab) Singer, Ivan Co-Author Distance 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 741 Co-Co-Authors all top 5 Co-Authors 153 single-authored 25 Martínez-Legaz, Juan-Enrique 8 Niţică, Viorel 4 Bacopoulos, Alexis 4 Dean, David W. 4 Deutsch, Frank 4 Foiaș, Ciprian 4 Rubinov, Aleksandr Moiseevich 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 Serials 19 Académie de la République Populaire Roumaine, Revue de Mathématiques Pures et Appliquées 18 Optimization 13 Linear Algebra and its Applications 12 Journal of Mathematical Analysis and Applications 12 Revue Roumaine de Mathématiques Pures et Appliquées 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 Științific. Secțiunea de Științe Matematice și 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 și 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 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 174 Publications have been cited 2,390 times in 1,687 Documents Cited by ▼ Year ▼ Best approximation in normed linear spaces by elements of linear subspaces. Zbl 0197.38601Singer, Ivan 416 1970 Bases in Banach spaces. I. Zbl 0198.16601Singer, Ivan 312 1970 Bases in Banach spaces. II. Zbl 0467.46020Singer, Ivan 129 1981 Abstract convex analysis. Zbl 0898.49001Singer, Ivan 122 1997 Constraint qualifications for semi-infinite systems of convex inequalities. Zbl 0999.90045Li, Wu; Nahak, Chandal; Singer, Ivan 56 2000 Topical and sub-topical functions, downward sets and abstract convexity. Zbl 1007.26010Rubinov, A. M.; Singer, Ivan 50 2001 The theory of best approximation and functional analysis. Zbl 0291.41020Singer, Ivan 48 1974 Some remarks on approximative compactness. Zbl 0166.39405Singer, Ivan 41 1964 Downward sets and their separation and approximation properties. Zbl 1013.90101Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan 36 2002 A Fenchel-Rockafellar type duality theorem for maximization. Zbl 0404.90101Singer, Ivan 34 1979 Max-plus convex sets and functions. Zbl 1093.26005Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre; Singer, Ivan 34 2005 Basic sequences and reflexivity of Banach spaces. Zbl 0114.30903Singer, Ivan 32 1962 On non-equivalent bases and conditional bases in Banach spaces. Zbl 0187.05403Pełczyński, Aleksander; Singer, Ivan 29 1964 Best coapproximation in normed linear spaces. Zbl 0421.41017Papini, Pier Luigi; Singer, Ivan 27 1979 Some remarks on the representation of linear operators in spaces of vector-valued continuous functions. Zbl 0102.32302Foiaš, Ciprian; Singer, Ivan 26 1960 Global error bounds for convex multifunctions and applications. Zbl 0977.90054Li, Wu; Singer, Ivan 25 1998 Some relations between dualities, polarities, coupling functionals, and conjugations. Zbl 0601.46043Singer, Ivan 23 1986 Best approximation by normal and conormal sets. Zbl 0967.41017Rubinov, A. M.; Singer, Ivan 23 2000 Caractérisation des éléments de meilleure approximation dans un espace de Banach quelconque. Zbl 0072.13003Singer, Ivan 23 1956 Minimization of continuous convex functionals on complements of convex subsets of locally convex spaces. Zbl 0449.90100Singer, Ivan 21 1980 A general theory of dual optimization problems. Zbl 0598.49011Singer, Ivan 18 1986 Max-plus convex sets and max-plus semispaces. I. Zbl 1121.52002Nitica, V.; Singer, Ivan 18 2007 On the set of the best approximations of an element in a normed linear space. Zbl 0122.34801Singer, Ivan 18 1960 On set-valued metric projections, Hahn-Banach extension maps, and spherical image maps. Zbl 0267.41013Deutsch, Frank; Pollul, Walter; Singer, Ivan 17 1973 Duality for nonconvex approximation and optimization. Zbl 1119.90002Singer, Ivan 16 2006 Extensions of functions of 0-1 variables and applications to combinatorial optimization. Zbl 0546.90066Singer, Ivan 16 1984 Best approximation in max-plus semimodules. Zbl 1226.15016Akian, Marianne; Gaubert, Stéphane; Niţică, Viorel; Singer, Ivan 16 2011 Some new applications of the Fenchel-Rockafellar duality theorem: Lagrange multiplier theorems and hyperplane theorems for convex optimization and best approximation. Zbl 0444.41015Singer, Ivan 15 1979 Weak Chebyshev subspaces and alternation. Zbl 0454.41030Deutsch, Frank; Nürenberger, Günther; Singer, Ivan 15 1980 The distance to a polyhedron. Zbl 0759.15008Bergthaller, C.; Singer, Ivan 14 1992 Optimization by level set methods. IV: Generalizations and complements. Zbl 0497.49022Singer, Ivan 14 1982 Points of diffusion of linear operators and almost diffuse operators in spaces of continuous functions. Zbl 0132.09904Foiaš, Ciprian; Singer, Ivan 14 1965 Uniqueness and strong uniqueness of best approximations by spline subspaces and other subspaces. Zbl 0505.41018Nürnberger, Günther; Singer, Ivan 13 1982 Topologies on lattice ordered groups, separation from closed downward sets and conjugations of type Lau. Zbl 1049.06014Akian, Marianne; Singer, Ivan 13 2003 Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. I: Hyperplane theorems. Zbl 0421.90077Singer, Ivan 12 1979 Max-plus convex sets and max-plus semispaces. II. Zbl 1127.52001Nitica, V.; Singer, Ivan 12 2007 Bases and quasi-reflexivity of Banach-spaces. Zbl 0116.31502Singer, Ivan 12 1964 Some characterizations of symmetric bases in Banach spaces. Zbl 0119.10005Singer, Ivan 12 1962 On linear integral mappings on spaces of continuous functions. I. (Sur les applications linéaires intégrales des espaces de fonctions continues. I.) Zbl 0121.33402Singer, Ivan 12 1959 Generalizations of methods of best approximation to convex optimization in locally convex spaces. II: hyperbolic theorems. Zbl 0466.41013Singer, Ivan 11 1979 The structure of max-plus hyperplanes. Zbl 1130.52001Nitica, V.; Singer, Ivan 11 2007 The structure of hemispaces in \({\mathbb{R}}^ n\). Zbl 0656.52004Martínez-Legaz, Juan-Enrique; Singer, Ivan 11 1988 A general theory of surrogate dual and perturbational extended surrogate dual optimization problems. Zbl 0607.90089Singer, Ivan 11 1984 Surrogate dual problems and surrogate Lagrangians. Zbl 0584.49006Singer, Ivan 10 1984 \(\bigvee\)-dualities and \(\perp\)-dualities. Zbl 0728.06007Martínez-Legaz, J.-E.; Singer, Ivan 10 1991 Surrogate conjugate functionals and surrogate convexity. Zbl 0526.90097Singer, Ivan 10 1983 The lower semi-continuous quasi-convex hull as a normalized second conjugate. Zbl 0528.49007Singer, Ivan 10 1983 On convex vectorial optimization in linear spaces. Zbl 0326.90052Bacopoulos, Alexis; Singer, Ivan 10 1977 Infimal generators and dualities between complete lattices. Zbl 0638.06006Singer, Ivan 10 1987 Lexicographical separation in \({\mathbb{R}}^ n\). Zbl 0614.52003Martínez-Legaz, Juan-Enrique; Singer, Ivan 10 1987 Dualities between complete lattices. Zbl 0728.90071Martinez-Legaz, J.-E.; Singer, Ivan 10 1990 On Banach spaces with a symmetric basis. (Über Banachsche Räume mit symmetrischer Basis.) Zbl 0107.32602Singer, Ivan 10 1961 Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. II: Quasi-Lagrangian duality theorems. Zbl 0459.90088Singer, Ivan 9 1980 Further applications of the additive min-type coupling function. Zbl 1014.49027Singer, Ivan 9 2002 \(({\ast},s)\)-dualities. Zbl 1136.49315Getán, J.; Martínez-Legaz, J.-E.; Singer, Ivan 9 2003 On radiant sets, downward sets, topical functions and sub-topical functions in lattice ordered groups. Zbl 1066.26006Singer, Ivan 9 2004 Weak compactness, pseudo-reflexivity and quasi-reflexivity. Zbl 0117.08301Singer, Ivan 9 1964 Some further duality theorems for optimization problems with reverse convex constraint sets. Zbl 0770.49021Singer, Ivan 8 1992 Infima of sets in the plane and applications to vectorial optimization. Zbl 0393.90089Bacopoulos, Alexis; Godini, G.; Singer, Ivan 8 1978 Optimization by level set methods. V: Duality theorems for perturbed optimization problems. Zbl 0538.49004Singer, Ivan 8 1984 On the extension of continuous linear functionals and best approximation in normed linear spaces. Zbl 0141.12002Singer, Ivan 8 1965 Duality theorems for perturbed convex optimization. Zbl 0462.90091Singer, Ivan 7 1981 Optimization and best approximation. Zbl 0472.41023Singer, Ivan 7 1981 Subdifferentials with respect to dualities. Zbl 0838.90111Martinez-Legaz, Juan-Enrique; Singer, Ivan 7 1995 Complemented subspaces and \(\Lambda\) systems in Banach spaces. Zbl 0169.15401Davis, W. J.; Dean, D. W.; Singer, Ivan 7 1968 On biorthogonal systems and total sequences of functionals. II. Zbl 0233.46028Singer, Ivan 7 1973 Some remarks on strongly linearly independent sequences and bases in Banach spaces. Zbl 0106.08603Foiaš, Ciprian; Singer, Ivan 7 1961 On bases in quasi-reflexive Banach spaces. Zbl 0135.34503Singer, Ivan 7 1963 On bases in \(C([0,1])\) and \(L^ 1([0,1])\). Zbl 0141.31102Foiaš, Ciprian; Singer, Ivan 7 1965 Lexicographical order, lexicographical index, and linear operators. Zbl 0711.52002Martínez-Legaz, Juan-Enrique; Singer, Ivan 6 1990 Duality theorems for linear systems and convex systems. Zbl 0445.49007Singer, Ivan 6 1980 Optimization by level set methods. III: Characterizations of solutions in the presence of duality. Zbl 0496.49014Singer, Ivan 6 1982 On Kadec-Klee norms on Banach spaces. Zbl 0321.46012van Dulst, Dick; Singer, Ivan 6 1976 Contributions to max-min convex geometry. I: Segments. Zbl 1134.52300Nitica, V.; Singer, Ivan 6 2008 On single-valuedness of convex set-valued maps. Zbl 0807.46011Deutsch, Frank; Singer, Ivan 6 1993 \(*\)-dualities. Zbl 0815.49026Martinez-Legaz, Juan-Enrique; Singer, Ivan 6 1994 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 0283.49023Singer, Ivan 6 1974 On a problem of T. J. Rivlin in approximation theory. Zbl 0193.09201Deutsch, Frank; Morris, Peter D.; Singer, Ivan 6 1969 On Banach spaces reflexive with respect to a linear subspace of their conjugate space. Zbl 0098.08001Singer, Ivan 6 1958 Weak\(^ *\) bases in conjugate Banach spaces. II. Zbl 0143.35003Singer, Ivan 6 1963 On best approximation in normed linear spaces by elements of subspaces of finite codimension. Zbl 0249.41023Singer, Ivan 6 1972 Les duals de certains espaces de Banach de champs de vecteurs. I, II. Zbl 0094.09205Singer, Ivan 6 1958 On the perturbation and Lagrangian duality theories of Rockafellar and Kurcyusz. Zbl 0467.90077Singer, Ivan 5 1981 Deviation and farthest points in normed linear spaces. Zbl 0409.41014Franchetti, Carlo; Singer, Ivan 5 1979 Surrogate duality for vector optimization. Zbl 0609.49012Martinez-Legaz, Juan-Enrique; Singer, Ivan 5 1987 On conjugations for functions with values in extensions of ordered groups. Zbl 0899.49016Martínez-Legaz, Juan-Enrique; Singer, Ivan 5 1997 Boundedly complete M-bases and complemented subspaces in Banach spaces. Zbl 0256.46027Davis, William J.; Singer, Ivan 5 1973 On the cones associated with biorthogonal systems and bases in Banach spaces. Zbl 0188.43501McArthur, C. W.; Singer, Ivan; Levin, M. 5 1969 On biorthogonal systems and total sequences of functionals. Zbl 0207.43004Singer, Ivan 5 1971 Sur l’extension des fonctionnelles linéaires. Zbl 0073.32904Singer, Ivan 5 1956 Remarque sur théorème d’approximation de H. Yamabe. Zbl 0086.09202Singer, Ivan 5 1959 On a theorem of J. D. Weston. Zbl 0087.10703Singer, 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 0097.10002Singer, Ivan 5 1960 On Banach spaces reflexive with respect to a linear subspace of their conjugate space. III. Zbl 0143.35004Singer, Ivan 5 1963 On the basis problem in topological linear spaces. Zbl 0148.11201Singer, Ivan 5 1965 Duality for optimization and best approximation over finite intersections. Zbl 0923.46071Singer, Ivan 5 1998 Sur la meilleure approximation des fonctions abstraites continues à valeurs dans un espace de Banach. Zbl 0087.31602Singer, Ivan 5 1957 Some characterizations of \(\varphi\)-Lagrangian dual problems. Zbl 0753.49017Martínez-Legaz, J.-E.; Singer, Ivan 4 1991 Duality theorems for constrained convex optimization. Zbl 0526.49009Singer, Ivan 4 1980 Extension with larger norm and separation with double support in normed linear spaces. Zbl 0412.46004Singer, Ivan 4 1980 Extended-valued topical and anti-topical functions on semimodules. Zbl 1309.06014Singer, Ivan; Nitica, Viorel 2 2014 Topical functions on semimodules and generalizations. Zbl 1284.06048Singer, Ivan; Nitica, Viorel 3 2012 Best approximation in max-plus semimodules. Zbl 1226.15016Akian, Marianne; Gaubert, Stéphane; Niţică, Viorel; Singer, Ivan 16 2011 Elementary topical functions on \(b\)-complete semimodules over \(b\)-complete idempotent semifields. Zbl 1211.06010Singer, Ivan 4 2010 Contributions to max-min convex geometry. I: Segments. Zbl 1134.52300Nitica, V.; Singer, Ivan 6 2008 Contributions to max-min convex geometry. II: Semispaces and convex sets. Zbl 1320.52001Nitica, V.; Singer, I. 4 2008 Max-plus convex sets and max-plus semispaces. I. Zbl 1121.52002Nitica, V.; Singer, Ivan 18 2007 Max-plus convex sets and max-plus semispaces. II. Zbl 1127.52001Nitica, V.; Singer, Ivan 12 2007 The structure of max-plus hyperplanes. Zbl 1130.52001Nitica, V.; Singer, Ivan 11 2007 Duality for nonconvex approximation and optimization. Zbl 1119.90002Singer, Ivan 16 2006 Some conjugation formulas and subdifferential formulas of convex analysis revisited. Zbl 1211.49018Martínez-Legaz, J.-E.; Singer, Ivan 2 2006 Max-plus convex sets and functions. Zbl 1093.26005Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre; Singer, Ivan 34 2005 On radiant sets, downward sets, topical functions and sub-topical functions in lattice ordered groups. Zbl 1066.26006Singer, Ivan 9 2004 Topologies on lattice ordered groups, separation from closed downward sets and conjugations of type Lau. Zbl 1049.06014Akian, Marianne; Singer, Ivan 13 2003 \(({\ast},s)\)-dualities. Zbl 1136.49315Getán, J.; Martínez-Legaz, J.-E.; Singer, Ivan 9 2003 Some relations between linear mappings and conjugations in idempotent analysis. Zbl 1055.49021Singer, Ivan 4 2003 Downward sets and their separation and approximation properties. Zbl 1013.90101Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan 36 2002 Further applications of the additive min-type coupling function. Zbl 1014.49027Singer, Ivan 9 2002 Topical and sub-topical functions, downward sets and abstract convexity. Zbl 1007.26010Rubinov, A. M.; Singer, Ivan 50 2001 Asymptotic constraint qualifications and error bounds for semi-infinite systems of convex inequalities. Zbl 1169.90462Li, Wu; Singer, Ivan 2 2001 Constraint qualifications for semi-infinite systems of convex inequalities. Zbl 0999.90045Li, Wu; Nahak, Chandal; Singer, Ivan 56 2000 Best approximation by normal and conormal sets. Zbl 0967.41017Rubinov, A. M.; Singer, Ivan 23 2000 Distance to the intersection of normal sets and applications. Zbl 0969.26010Rubinov, A. M.; Singer, Ivan 3 2000 Lagrangian duality theorems for reverse convex infimization. Zbl 0986.90072Singer, Ivan 1 2000 Duality in quasi-convex supremization and reverse convex infimization via abstract convex analysis, and applications to approximation. Zbl 0941.49020Singer, Ivan 2 1999 Global error bounds for convex multifunctions and applications. Zbl 0977.90054Li, Wu; Singer, Ivan 25 1998 Duality for optimization and best approximation over finite intersections. Zbl 0923.46071Singer, Ivan 5 1998 On \(\Phi\)-convexity of convex functions. Zbl 0952.26009Martínez-Legaz, Juan-Enrique; Singer, Ivan 3 1998 Abstract convex analysis. Zbl 0898.49001Singer, Ivan 122 1997 On conjugations for functions with values in extensions of ordered groups. Zbl 0899.49016Martínez-Legaz, Juan-Enrique; Singer, Ivan 5 1997 An extension of d. c. duality theory, with an appendix on \(*\)-subdifferentials. Zbl 0893.90143Martínez-Legaz, J.-E.; Singer, Ivan 2 1997 Subdifferentials with respect to dualities. Zbl 0838.90111Martinez-Legaz, Juan-Enrique; Singer, Ivan 7 1995 Dualities associated to binary operations on \(\overline {R}\). Zbl 0832.06004Martínez-Legaz, Juan-Enrique; Singer, Ivan 3 1995 \(*\)-dualities. Zbl 0815.49026Martinez-Legaz, Juan-Enrique; Singer, Ivan 6 1994 On single-valuedness of convex set-valued maps. Zbl 0807.46011Deutsch, Frank; Singer, Ivan 6 1993 The distance to a polyhedron. Zbl 0759.15008Bergthaller, C.; Singer, Ivan 14 1992 Some further duality theorems for optimization problems with reverse convex constraint sets. Zbl 0770.49021Singer, Ivan 8 1992 Some characterizations of surrogate dual problems. Zbl 0817.90112Martínez-Legaz, J.-E.; Singer, Ivan 4 1992 \(\bigvee\)-dualities and \(\perp\)-dualities. Zbl 0728.06007Martínez-Legaz, J.-E.; Singer, Ivan 10 1991 Some characterizations of \(\varphi\)-Lagrangian dual problems. Zbl 0753.49017Martínez-Legaz, J.-E.; Singer, Ivan 4 1991 Compatible preorders and linear operators on \({\mathbb{R}}^ n\). Zbl 0726.15014Martínez-Legaz, Juan-Enrique; SInger, Ivan 3 1991 Multi-order convexity. Zbl 0741.52001Martínez-Legaz, Juan-Enrique; Singer, Ivan 2 1991 Some further relations between unperturbational and perturbational dual optimization problems. Zbl 0743.90112Singer, Ivan 1 1991 Dualities between complete lattices. Zbl 0728.90071Martinez-Legaz, J.-E.; Singer, Ivan 10 1990 Lexicographical order, lexicographical index, and linear operators. Zbl 0711.52002Martínez-Legaz, Juan-Enrique; Singer, Ivan 6 1990 A characterization of Lagrangian dual problems. Zbl 0771.49006Martinez-Legaz, J.-E.; Singer, I. 1 1990 The structure of hemispaces in \({\mathbb{R}}^ n\). Zbl 0656.52004Martínez-Legaz, Juan-Enrique; Singer, Ivan 11 1988 Abstract subdifferentials and some characterizations of optimal solutions. Zbl 0619.49007Singer, Ivan 3 1988 Infimal generators and dualities between complete lattices. Zbl 0638.06006Singer, Ivan 10 1987 Lexicographical separation in \({\mathbb{R}}^ n\). Zbl 0614.52003Martínez-Legaz, Juan-Enrique; Singer, Ivan 10 1987 Surrogate duality for vector optimization. Zbl 0609.49012Martinez-Legaz, Juan-Enrique; Singer, Ivan 5 1987 Optimization by level set methods. VI: Generalizations of surrogate type reverse convex duality. Zbl 0638.49006Singer, Ivan 4 1987 Generalizations of convex supremization duality. Zbl 0652.49016Singer, Ivan 3 1987 Some relations between dualities, polarities, coupling functionals, and conjugations. Zbl 0601.46043Singer, Ivan 23 1986 A general theory of dual optimization problems. Zbl 0598.49011Singer, Ivan 18 1986 Extensions of functions of 0-1 variables and applications to combinatorial optimization. Zbl 0546.90066Singer, Ivan 16 1984 A general theory of surrogate dual and perturbational extended surrogate dual optimization problems. Zbl 0607.90089Singer, Ivan 11 1984 Surrogate dual problems and surrogate Lagrangians. Zbl 0584.49006Singer, Ivan 10 1984 Optimization by level set methods. V: Duality theorems for perturbed optimization problems. Zbl 0538.49004Singer, Ivan 8 1984 Conjugate functionals and level sets. Zbl 0538.49005Singer, Ivan 4 1984 Generalized convexity, functional hulls and applications to conjugate duality in optimization. Zbl 0549.52001Singer, Ivan 4 1984 Conjugation operators. Zbl 0545.49008Singer, Ivan 3 1984 Optimization by level set methods. II: Further duality formulae in the case of essential constraints. Zbl 0543.49005Singer, Ivan 1 1984 Surrogate conjugate functionals and surrogate convexity. Zbl 0526.90097Singer, Ivan 10 1983 The lower semi-continuous quasi-convex hull as a normalized second conjugate. Zbl 0528.49007Singer, Ivan 10 1983 Optimization by level set methods. I: Duality formulae. Zbl 0522.49010Singer, Ivan 2 1983 Abstract Pontryagin maximum principles for linear systems. Zbl 0529.49010Singer, Ivan 1 1983 Optimization by level set methods. IV: Generalizations and complements. Zbl 0497.49022Singer, Ivan 14 1982 Uniqueness and strong uniqueness of best approximations by spline subspaces and other subspaces. Zbl 0505.41018Nürnberger, Günther; Singer, Ivan 13 1982 Optimization by level set methods. III: Characterizations of solutions in the presence of duality. Zbl 0496.49014Singer, Ivan 6 1982 Bases in Banach spaces. II. Zbl 0467.46020Singer, Ivan 129 1981 Duality theorems for perturbed convex optimization. Zbl 0462.90091Singer, Ivan 7 1981 Optimization and best approximation. Zbl 0472.41023Singer, Ivan 7 1981 On the perturbation and Lagrangian duality theories of Rockafellar and Kurcyusz. Zbl 0467.90077Singer, Ivan 5 1981 Pseudo-conjugate functionals and pseudo-duality. Zbl 0478.90079Singer, Ivan 1 1981 Minimization of continuous convex functionals on complements of convex subsets of locally convex spaces. Zbl 0449.90100Singer, Ivan 21 1980 Weak Chebyshev subspaces and alternation. Zbl 0454.41030Deutsch, Frank; Nürenberger, Günther; Singer, Ivan 15 1980 Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. II: Quasi-Lagrangian duality theorems. Zbl 0459.90088Singer, Ivan 9 1980 Duality theorems for linear systems and convex systems. Zbl 0445.49007Singer, Ivan 6 1980 Duality theorems for constrained convex optimization. Zbl 0526.49009Singer, Ivan 4 1980 Extension with larger norm and separation with double support in normed linear spaces. Zbl 0412.46004Singer, Ivan 4 1980 A characterization of constant-time linear control systems satisfying the Pontryagin maximum principle. Zbl 0442.49015Singer, Ivan 3 1980 Best approximation by elements of caverns in normed linear spaces. Zbl 0436.41020Franchetti, C.; 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 0482.41026Bacopoulos, Alexis; Godini, G.; Singer, Ivan 2 1980 A Fenchel-Rockafellar type duality theorem for maximization. Zbl 0404.90101Singer, Ivan 34 1979 Best coapproximation in normed linear spaces. Zbl 0421.41017Papini, Pier Luigi; Singer, Ivan 27 1979 Some new applications of the Fenchel-Rockafellar duality theorem: Lagrange multiplier theorems and hyperplane theorems for convex optimization and best approximation. Zbl 0444.41015Singer, Ivan 15 1979 Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. I: Hyperplane theorems. Zbl 0421.90077Singer, Ivan 12 1979 Generalizations of methods of best approximation to convex optimization in locally convex spaces. II: hyperbolic theorems. Zbl 0466.41013Singer, Ivan 11 1979 Deviation and farthest points in normed linear spaces. Zbl 0409.41014Franchetti, Carlo; Singer, Ivan 5 1979 On the Pontryagin maximum principle for constant-time linear control systems in Banach spaces. Zbl 0372.49011Singer, Ivan 2 1979 On Banach spaces in which every M-basis is a generalized summation basis. Zbl 0421.46010Singer, Ivan 1 1979 Infima of sets in the plane and applications to vectorial optimization. Zbl 0393.90089Bacopoulos, Alexis; Godini, G.; Singer, Ivan 8 1978 On best approximation in vector-valued norms. Zbl 0425.41026Bacopoulos, Alexis; Godini, G.; Singer, Ivan 3 1978 Some classes of non-linear operators generalizing the metric projections onto Cebysev subspaces. Zbl 0431.47041Singer, Ivan 1 1978 On convex vectorial optimization in linear spaces. Zbl 0326.90052Bacopoulos, Alexis; Singer, Ivan 10 1977 On Kadec-Klee norms on Banach spaces. Zbl 0321.46012van 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 0332.46012Singer, Ivan 1 1976 The theory of best approximation and functional analysis. Zbl 0291.41020Singer, Ivan 48 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 0283.49023Singer, Ivan 6 1974 ...and 74 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,508 Authors 84 Singer, Ivan 43 Mohebi, Hossein 38 Martínez-Legaz, Juan-Enrique 25 Rubinov, Aleksandr Moiseevich 19 Gaubert, Stéphane 18 Deutsch, Frank 14 Niţică, Viorel 14 Nürnberger, Günther 13 Li, Chong 13 Vlasov, L. P. 11 Sommer, Manfred 11 Yao, Jen-Chih 10 Holub, James R. 10 Rao, T. S. S. R. K. 10 Volle, Michel 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’, Volodymyr Mykhaĭlovych 8 Narang, Tulsi Das 8 Oikhberg, Timur 8 Polyrakis, Ioannis A. 8 Sergeev, Sergeĭ Mikhaĭlovich 7 Ansorena, José Luis 7 Gupta, Manjul 7 Jain, Pawan Kumar 7 Khalil, Roshdi Rashid 7 Li, Shengjie 7 Ng, Kung-Fu 7 Oja, Eve 7 Pai, Devidas V. 7 Penot, Jean-Paul 7 Reich, Simeon 7 Sanguineti, Marcello 7 Zheng, Xiyin 6 Akian, Marianne 6 Borodin, Petr A. 6 Briec, Walter 6 Casazza, Peter George 6 Chalmers, Bruce Longworthy 6 Davis, William Jay 6 Gnecco, Giorgio 6 Grabisch, Michel 6 Jeyakumar, Vaithilingam 6 Katz, Ricardo David 6 Kroó, András 6 Lewicki, Grzegorz 6 Lin, Bor-Luh 6 Mal, Arpita 6 Martínez-Moreno, Juan 6 Morris, Peter D. 6 Navas, Juan 6 Paul, Kallol 6 Retherford, James R. 6 Sama, Miguel 6 Šikić, Hrvoje 6 Wójcik, Paweł 6 Wojtaszczyk, Przemyslaw 5 Alimov, Alexey R. 5 Allamigeon, Xavier 5 Couceiro, Miguel 5 de Lara, Michel 5 Godun, B. V. 5 Gorokhovik, Valentin Vikent’evich 5 Gupta, Sahil 5 Horvath, Charles D. 5 Huang, Hui 5 Indumathi, V. 5 Johnson, William Buhmann 5 Kalton, Nigel John 5 Kamthan, Pawan Kumar 5 Lewis, Paul W. 5 Li, Wu 5 Lindenstrauss, Joram 5 Luo, Xianfa 5 Marichal, Jean-Luc 5 Pantelidis, G. 5 Schrage, Carola 5 Shang, Shaoqiang 5 Sinha, Deba Prasad 5 Smarzewski, Ryszard 5 Strauss, Hans 5 Wanka, Gert 5 Wegmann, Rudolf 5 Wei, Zhou 5 Yao, Chaoli 5 Yoshida, Ruriko 5 Young, Robert M. 4 Adilov, Gabil R. 4 Aksoy, Asuman Güven 4 Albiac, Fernando 4 Balaganskij, V. S. 4 Blasco, Oscar 4 Boţ, Radu Ioan 4 Chalendar, Isabelle 4 Chancelier, Jean-Philippe ...and 1,408 more Authors all top 5 Cited in 295 Serials 157 Journal of Approximation Theory 115 Journal of Mathematical Analysis and Applications 66 Mathematical Notes 66 Optimization 62 Numerical Functional Analysis and Optimization 60 Proceedings of the American Mathematical Society 54 Linear Algebra and its Applications 49 Journal of Optimization Theory and Applications 44 Mathematische Annalen 40 Journal of Functional Analysis 33 Transactions of the American Mathematical Society 32 Journal of Global Optimization 31 Israel Journal of Mathematics 22 Archiv der Mathematik 22 Siberian Mathematical Journal 19 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 13 Monatshefte für Mathematik 13 Journal of Convex Analysis 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 Quaestiones Mathematicae 9 Journal of Mathematical Sciences (New York) 8 Analysis Mathematica 8 Advances in Mathematics 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Fuzzy Sets and Systems 8 Glasgow Mathematical Journal 8 Results in Mathematics 7 Linear and Multilinear Algebra 7 Applied Mathematics and Optimization 7 Functional Analysis and its Applications 7 Constructive Approximation 7 Journal of Inequalities and Applications 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Banach Journal of Mathematical Analysis 6 Applicable Analysis 6 Periodica Mathematica Hungarica 6 Set-Valued Analysis 6 Positivity 6 Acta Mathematica Sinica. English Series 5 Studia Mathematica 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 SIAM Journal on Discrete Mathematics 5 Top 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Journal of Function Spaces 5 Nonlinear Analysis. Theory, Methods & Applications 4 Moscow University Mathematics Bulletin 4 Acta Mathematica 4 Journal of Mathematical Economics 4 Journal of Multivariate Analysis 4 Mathematical Programming 4 Mathematika 4 Topology and its Applications 4 Zeitschrift für Analysis und ihre Anwendungen 4 Discrete & Computational Geometry 4 Aequationes Mathematicae 4 SIAM Journal on Optimization 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 Applied Mathematics and Computation 3 Compositio Mathematica 3 Computing 3 Journal of Statistical Planning and Inference 3 Kybernetika 3 Memoirs of the American Mathematical Society 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 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 3 ZOR. Zeitschrift für Operations Research 3 Turkish Journal of Mathematics 3 Sbornik: Mathematics 3 The Journal of Fourier Analysis and Applications 3 Journal of Applied Analysis ...and 195 more Serials all top 5 Cited in 55 Fields 679 Functional analysis (46-XX) 456 Approximations and expansions (41-XX) 309 Operations research, mathematical programming (90-XX) 249 Operator theory (47-XX) 199 Calculus of variations and optimal control; optimization (49-XX) 128 Convex and discrete geometry (52-XX) 85 Real functions (26-XX) 67 Harmonic analysis on Euclidean spaces (42-XX) 64 General topology (54-XX) 46 Linear and multilinear algebra; matrix theory (15-XX) 45 Probability theory and stochastic processes (60-XX) 45 Numerical analysis (65-XX) 36 Order, lattices, ordered algebraic structures (06-XX) 33 Ordinary differential equations (34-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Measure and integration (28-XX) 22 Functions of a complex variable (30-XX) 21 Statistics (62-XX) 21 Systems theory; control (93-XX) 20 Algebraic geometry (14-XX) 19 Partial differential equations (35-XX) 17 Mathematical logic and foundations (03-XX) 16 Computer science (68-XX) 14 Global analysis, analysis on manifolds (58-XX) 12 Associative rings and algebras (16-XX) 11 Combinatorics (05-XX) 11 Sequences, series, summability (40-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Abstract harmonic analysis (43-XX) 8 Topological groups, Lie groups (22-XX) 7 Difference and functional equations (39-XX) 7 Information and communication theory, circuits (94-XX) 6 General algebraic systems (08-XX) 6 Special functions (33-XX) 6 Geometry (51-XX) 6 Algebraic topology (55-XX) 6 Biology and other natural sciences (92-XX) 5 Potential theory (31-XX) 5 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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