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 779 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 175 Publications have been cited 2,440 times in 1,729 Documents Cited by ▼ Year ▼ Best approximation in normed linear spaces by elements of linear subspaces. Zbl 0197.38601 Singer, Ivan 427 1970 Bases in Banach spaces. I. Zbl 0198.16601 Singer, Ivan 323 1970 Bases in Banach spaces. II. Zbl 0467.46020 Singer, Ivan 136 1981 Abstract convex analysis. Zbl 0898.49001 Singer, Ivan 126 1997 Constraint qualifications for semi-infinite systems of convex inequalities. Zbl 0999.90045 Li, Wu; Nahak, Chandal; Singer, Ivan 58 2000 The theory of best approximation and functional analysis. Zbl 0291.41020 Singer, Ivan 52 1974 Topical and sub-topical functions, downward sets and abstract convexity. Zbl 1007.26010 Rubinov, A. M.; Singer, Ivan 51 2001 Some remarks on approximative compactness. Zbl 0166.39405 Singer, Ivan 41 1964 Downward sets and their separation and approximation properties. Zbl 1013.90101 Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan 36 2002 A Fenchel-Rockafellar type duality theorem for maximization. Zbl 0404.90101 Singer, Ivan 35 1979 Max-plus convex sets and functions. Zbl 1093.26005 Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre; Singer, Ivan 34 2005 Basic sequences and reflexivity of Banach spaces. Zbl 0114.30903 Singer, Ivan 32 1962 On non-equivalent bases and conditional bases in Banach spaces. Zbl 0187.05403 Pełczyński, Aleksander; Singer, Ivan 29 1964 Best coapproximation in normed linear spaces. Zbl 0421.41017 Papini, Pier Luigi; Singer, Ivan 28 1979 Global error bounds for convex multifunctions and applications. Zbl 0977.90054 Li, Wu; Singer, Ivan 26 1998 Some remarks on the representation of linear operators in spaces of vector-valued continuous functions. Zbl 0102.32302 Foiaš, Ciprian; Singer, Ivan 26 1960 Best approximation by normal and conormal sets. Zbl 0967.41017 Rubinov, A. M.; Singer, Ivan 23 2000 Caractérisation des éléments de meilleure approximation dans un espace de Banach quelconque. Zbl 0072.13003 Singer, Ivan 23 1956 Some relations between dualities, polarities, coupling functionals, and conjugations. Zbl 0601.46043 Singer, Ivan 23 1986 Minimization of continuous convex functionals on complements of convex subsets of locally convex spaces. Zbl 0449.90100 Singer, Ivan 21 1980 A general theory of dual optimization problems. Zbl 0598.49011 Singer, Ivan 19 1986 Max-plus convex sets and max-plus semispaces. I. Zbl 1121.52002 Nitica, V.; Singer, Ivan 18 2007 On the set of the best approximations of an element in a normed linear space. Zbl 0122.34801 Singer, Ivan 18 1960 On set-valued metric projections, Hahn-Banach extension maps, and spherical image maps. Zbl 0267.41013 Deutsch, Frank; Pollul, Walter; Singer, Ivan 17 1973 Extensions of functions of 0-1 variables and applications to combinatorial optimization. Zbl 0546.90066 Singer, Ivan 16 1984 Best approximation in max-plus semimodules. Zbl 1226.15016 Akian, Marianne; Gaubert, Stéphane; Niţică, Viorel; Singer, Ivan 16 2011 Duality for nonconvex approximation and optimization. Zbl 1119.90002 Singer, Ivan 16 2006 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 Weak Chebyshev subspaces and alternation. Zbl 0454.41030 Deutsch, Frank; Nürenberger, Günther; Singer, Ivan 15 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 14 1965 The distance to a polyhedron. Zbl 0759.15008 Bergthaller, C.; Singer, Ivan 14 1992 Uniqueness and strong uniqueness of best approximations by spline subspaces and other subspaces. Zbl 0505.41018 Nürnberger, Günther; Singer, Ivan 13 1982 Topologies on lattice ordered groups, separation from closed downward sets and conjugations of type Lau. Zbl 1049.06014 Akian, Marianne; Singer, Ivan 13 2003 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 13 1959 Max-plus convex sets and max-plus semispaces. II. Zbl 1127.52001 Nitica, V.; Singer, Ivan 12 2007 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 The structure of hemispaces in \({\mathbb{R}}^ n\). Zbl 0656.52004 Martínez-Legaz, Juan-Enrique; Singer, Ivan 11 1988 The structure of max-plus hyperplanes. Zbl 1130.52001 Nitica, V.; Singer, Ivan 11 2007 A general theory of surrogate dual and perturbational extended surrogate dual optimization problems. Zbl 0607.90089 Singer, Ivan 11 1984 Generalizations of methods of best approximation to convex optimization in locally convex spaces. II: hyperbolic theorems. Zbl 0466.41013 Singer, Ivan 11 1979 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 10 1961 On convex vectorial optimization in linear spaces. Zbl 0326.90052 Bacopoulos, Alexis; Singer, Ivan 10 1977 Surrogate dual problems and surrogate Lagrangians. Zbl 0584.49006 Singer, Ivan 10 1984 Lexicographical separation in \({\mathbb{R}}^ n\). Zbl 0614.52003 Martínez-Legaz, Juan-Enrique; Singer, Ivan 10 1987 \(\bigvee\)-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 On radiant sets, downward sets, topical functions and sub-topical functions in lattice ordered groups. Zbl 1066.26006 Singer, Ivan 9 2004 Weak compactness, pseudo-reflexivity and quasi-reflexivity. Zbl 0117.08301 Singer, Ivan 9 1964 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 \(({\ast},s)\)-dualities. Zbl 1136.49315 Getán, J.; Martínez-Legaz, J.-E.; Singer, Ivan 9 2003 Further applications of the additive min-type coupling function. Zbl 1014.49027 Singer, Ivan 9 2002 Optimization by level set methods. V: Duality theorems for perturbed optimization problems. Zbl 0538.49004 Singer, Ivan 8 1984 On the extension of continuous linear functionals and best approximation in normed linear spaces. Zbl 0141.12002 Singer, Ivan 8 1965 On biorthogonal systems and total sequences of functionals. II. Zbl 0233.46028 Singer, Ivan 8 1973 Some further duality theorems for optimization problems with reverse convex constraint sets. Zbl 0770.49021 Singer, Ivan 8 1992 Infima of sets in the plane and applications to vectorial optimization. Zbl 0393.90089 Bacopoulos, Alexis; Godini, G.; Singer, Ivan 8 1978 Subdifferentials with respect to dualities. Zbl 0838.90111 Martinez-Legaz, Juan-Enrique; Singer, Ivan 7 1995 Optimization and best approximation. Zbl 0472.41023 Singer, Ivan 7 1981 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 On bases in \(C([0,1])\) and \(L^ 1([0,1])\). Zbl 0141.31102 Foiaš, Ciprian; Singer, Ivan 7 1965 Complemented subspaces and \(\Lambda\) systems in Banach spaces. Zbl 0169.15401 Davis, W. J.; Dean, D. W.; Singer, Ivan 7 1968 Duality theorems for perturbed convex optimization. Zbl 0462.90091 Singer, Ivan 7 1981 Contributions to max-min convex geometry. I: Segments. Zbl 1134.52300 Nitica, V.; Singer, Ivan 6 2008 Optimization by level set methods. III: Characterizations of solutions in the presence of duality. Zbl 0496.49014 Singer, Ivan 6 1982 \(*\)-dualities. Zbl 0815.49026 Martinez-Legaz, Juan-Enrique; Singer, Ivan 6 1994 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 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 On Kadec-Klee norms on Banach spaces. Zbl 0321.46012 van Dulst, Dick; Singer, Ivan 6 1976 Lexicographical order, lexicographical index, and linear operators. Zbl 0711.52002 Martínez-Legaz, Juan-Enrique; Singer, Ivan 6 1990 Duality theorems for linear systems and convex systems. Zbl 0445.49007 Singer, Ivan 6 1980 On single-valuedness of convex set-valued maps. Zbl 0807.46011 Deutsch, Frank; Singer, Ivan 6 1993 On biorthogonal systems and total sequences of functionals. Zbl 0207.43004 Singer, Ivan 5 1971 Duality for optimization and best approximation over finite intersections. Zbl 0923.46071 Singer, Ivan 5 1998 On the perturbation and Lagrangian duality theories of Rockafellar and Kurcyusz. Zbl 0467.90077 Singer, Ivan 5 1981 Sur l’extension des fonctionnelles linéaires. Zbl 0073.32904 Singer, Ivan 5 1956 On a theorem of J. D. Weston. Zbl 0087.10703 Singer, Ivan 5 1959 Sur la meilleure approximation des fonctions abstraites continues à valeurs dans un espace de Banach. Zbl 0087.31602 Singer, Ivan 5 1957 Remarque sur théorème d’approximation de H. Yamabe. Zbl 0086.09202 Singer, Ivan 5 1959 Angles abstraits et fonctions trigonométriques dans les espaces de Banach. Zbl 0088.31801 Singer, Ivan 5 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 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 On the cones associated with biorthogonal systems and bases in Banach spaces. Zbl 0188.43501 McArthur, C. W.; Singer, Ivan; Levin, M. 5 1969 Surrogate duality for vector optimization. Zbl 0609.49012 Martinez-Legaz, Juan-Enrique; Singer, Ivan 5 1987 On conjugations for functions with values in extensions of ordered groups. Zbl 0899.49016 Martínez-Legaz, Juan-Enrique; Singer, Ivan 5 1997 Deviation and farthest points in normed linear spaces. Zbl 0409.41014 Franchetti, Carlo; Singer, Ivan 5 1979 Optimization by level set methods. VI: Generalizations of surrogate type reverse convex duality. Zbl 0638.49006 Singer, Ivan 4 1987 Duality theorems for constrained convex optimization. Zbl 0526.49009 Singer, Ivan 4 1980 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 16 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 6 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 18 2007 Max-plus convex sets and max-plus semispaces. II. Zbl 1127.52001 Nitica, V.; Singer, Ivan 12 2007 The structure of max-plus hyperplanes. Zbl 1130.52001 Nitica, V.; Singer, Ivan 11 2007 Duality for nonconvex approximation and optimization. Zbl 1119.90002 Singer, Ivan 16 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 34 2005 On radiant sets, downward sets, topical functions and sub-topical functions in lattice ordered groups. Zbl 1066.26006 Singer, Ivan 9 2004 Topologies on lattice ordered groups, separation from closed downward sets and conjugations of type Lau. Zbl 1049.06014 Akian, Marianne; Singer, Ivan 13 2003 \(({\ast},s)\)-dualities. Zbl 1136.49315 Getán, J.; Martínez-Legaz, J.-E.; Singer, Ivan 9 2003 Some relations between linear mappings and conjugations in idempotent analysis. Zbl 1055.49021 Singer, Ivan 4 2003 Downward sets and their separation and approximation properties. Zbl 1013.90101 Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan 36 2002 Further applications of the additive min-type coupling function. Zbl 1014.49027 Singer, Ivan 9 2002 Topical and sub-topical functions, downward sets and abstract convexity. Zbl 1007.26010 Rubinov, A. M.; Singer, Ivan 51 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 58 2000 Best approximation by normal and conormal sets. Zbl 0967.41017 Rubinov, A. M.; Singer, Ivan 23 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 2 1999 Global error bounds for convex multifunctions and applications. Zbl 0977.90054 Li, Wu; Singer, Ivan 26 1998 Duality for optimization and best approximation over finite intersections. Zbl 0923.46071 Singer, Ivan 5 1998 On \(\Phi\)-convexity of convex functions. Zbl 0952.26009 Martínez-Legaz, Juan-Enrique; Singer, Ivan 3 1998 Abstract convex analysis. Zbl 0898.49001 Singer, Ivan 126 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 6 1993 The distance to a polyhedron. Zbl 0759.15008 Bergthaller, C.; Singer, Ivan 14 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 Compatible preorders and linear operators on \({\mathbb{R}}^ n\). Zbl 0726.15014 Martínez-Legaz, Juan-Enrique; SInger, Ivan 3 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 11 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 10 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 23 1986 A general theory of dual optimization problems. Zbl 0598.49011 Singer, Ivan 19 1986 Extensions of functions of 0-1 variables and applications to combinatorial optimization. Zbl 0546.90066 Singer, Ivan 16 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 10 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 Generalized convexity, functional hulls and applications to conjugate duality in optimization. Zbl 0549.52001 Singer, Ivan 4 1984 Conjugation operators. Zbl 0545.49008 Singer, Ivan 3 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 136 1981 Optimization and best approximation. Zbl 0472.41023 Singer, Ivan 7 1981 Duality theorems for perturbed convex optimization. Zbl 0462.90091 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 15 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 35 1979 Best coapproximation in normed linear spaces. Zbl 0421.41017 Papini, Pier Luigi; Singer, Ivan 28 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 5 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 8 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 10 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 52 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 ...and 75 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,541 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 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 Ansorena, José Luis 8 Doagooei, Ali Reza 8 Kadets’, Volodymyr Mykhaĭlovych 8 Narang, Tulsi Das 8 Oikhberg, Timur 8 Polyrakis, Ioannis A. 8 Rao, T. S. S. R. K. 8 Sergeev, Sergeĭ Mikhaĭlovich 7 Gorokhovik, Valentin Vikent’evich 7 Gupta, Manjul 7 Jain, Pawan Kumar 7 Khalil, Roshdi Rashid 7 Li, Shengjie 7 Lin, Bor-Luh 7 Ng, Kung-Fu 7 Oja, Eve 7 Pai, Devidas V. 7 Paul, Kallol 7 Penot, Jean-Paul 7 Reich, Simeon 7 Sanguineti, Marcello 7 Zheng, Xiyin 6 Akian, Marianne 6 Alimov, Alexey R. 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 Lindenstrauss, Joram 6 Mal, Arpita 6 Martínez-Moreno, Juan 6 Morris, Peter D. 6 Navas, Juan 6 Retherford, James R. 6 Sama, Miguel 6 Šikić, Hrvoje 6 Wójcik, Paweł 6 Wojtaszczyk, Przemyslaw 5 Albiac, Fernando 5 Allamigeon, Xavier 5 Couceiro, Miguel 5 de Lara, Michel 5 Godun, B. V. 5 Gupta, Sahil 5 Haddadi, Mohammad Reza 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 Luo, Xianfa 5 Marichal, Jean-Luc 5 Pantelidis, G. 5 Sain, Debmalya 5 Schrage, Carola 5 Shang, Shaoqiang 5 Sinha, Deba Prasad 5 Smarzewski, Ryszard 5 Strauss, Hans 5 Tammer, Christiane 5 Valdivia Ureña, Manuel 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 Balaganskij, V. S. ...and 1,441 more Authors all top 5 Cited in 304 Serials 158 Journal of Approximation Theory 115 Journal of Mathematical Analysis and Applications 66 Mathematical Notes 66 Optimization 62 Numerical Functional Analysis and Optimization 61 Proceedings of the American Mathematical Society 54 Linear Algebra and its Applications 50 Journal of Optimization Theory and Applications 44 Mathematische Annalen 40 Journal of Functional Analysis 33 Israel Journal of Mathematics 33 Transactions of the American Mathematical Society 32 Journal of Global Optimization 23 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 13 Set-Valued and Variational Analysis 12 Mathematische Nachrichten 12 Analysis in Theory and Applications 11 Journal of Mathematical Sciences (New York) 10 Linear and Multilinear Algebra 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 Results in Mathematics 8 Analysis Mathematica 8 Advances in Mathematics 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Applied Mathematics and Optimization 8 Fuzzy Sets and Systems 8 Glasgow Mathematical Journal 8 Banach Journal of Mathematical Analysis 7 Functional Analysis and its Applications 7 Constructive Approximation 7 Journal of Inequalities and Applications 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Applicable Analysis 6 Periodica Mathematica Hungarica 6 Studia Mathematica 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Probability Theory and Related Fields 6 Set-Valued Analysis 6 Positivity 6 Acta Mathematica Sinica. English Series 5 Rendiconti del Seminario Matemàtico e Fisico di Milano 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 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 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 Sbornik: Mathematics 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 Colloquium Mathematicum 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 Statistics & Probability Letters 3 Acta Mathematicae Applicatae Sinica. English Series 3 Science in China. Series A 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 ...and 204 more Serials all top 5 Cited in 55 Fields 703 Functional analysis (46-XX) 464 Approximations and expansions (41-XX) 315 Operations research, mathematical programming (90-XX) 257 Operator theory (47-XX) 207 Calculus of variations and optimal control; optimization (49-XX) 131 Convex and discrete geometry (52-XX) 89 Real functions (26-XX) 70 Harmonic analysis on Euclidean spaces (42-XX) 63 General topology (54-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 48 Probability theory and stochastic processes (60-XX) 46 Numerical analysis (65-XX) 36 Order, lattices, ordered algebraic structures (06-XX) 35 Ordinary differential equations (34-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Measure and integration (28-XX) 24 Functions of a complex variable (30-XX) 22 Statistics (62-XX) 21 Systems theory; control (93-XX) 20 Algebraic geometry (14-XX) 20 Partial differential equations (35-XX) 17 Mathematical logic and foundations (03-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Computer science (68-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 Geometry (51-XX) 7 Information and communication theory, circuits (94-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) 5 Potential theory (31-XX) 5 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 5 Differential geometry (53-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) 3 Category theory; homological algebra (18-XX) 3 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-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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