# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 40 Publications since 2003, including 2 Books Reviewing Activity: 275 Reviews
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#### Co-Authors

 4 single-authored 29 Boţ, Radu Ioan 21 Wanka, Gert 2 Boncea, Horaţiu Vasile 2 Pop, Emilia Loredana 2 Wilfer, Oleg 1 Meier, Dennis 1 Staudigl, Mathias
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#### Serials

 5 Optimization 3 Journal of Optimization Theory and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Convex Analysis 2 Journal of Nonlinear and Convex Analysis 2 Central European Journal of Mathematics 2 Optimization Letters 1 Journal of Mathematical Analysis and Applications 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Journal of Information & Optimization Sciences 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of Global Optimization 1 SIAM Journal on Optimization 1 Optimization Methods & Software 1 Taiwanese Journal of Mathematics 1 Mathematical Methods of Operations Research 1 Mathematical Inequalities & Applications 1 Nonlinear Analysis Forum 1 Numerical Algebra, Control and Optimization 1 Advances in Nonlinear Analysis 1 Pure and Applied Functional Analysis
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#### Fields

 38 Operations research, mathematical programming (90-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 6 Operator theory (47-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 4 Convex and discrete geometry (52-XX) 2 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

29 Publications have been cited 297 times in 180 Documents Cited by Year
Duality in vector optimization. Zbl 1177.90355
2009
On strong and total Lagrange duality for convex optimization problems. Zbl 1160.90004
2008
New regularity conditions for strong and total Fenchel-Lagrange duality in infinite dimensional spaces. Zbl 1142.49015
2008
A new constraint qualification for the formula of the subdifferential of composed convex functions in infinite dimensional spaces. Zbl 1155.49019
2008
New constraint qualification and conjugate duality for composed convex optimization problems. Zbl 1146.90494
Boţ, R. I.; Grad, S. M.; Wanka, G.
2007
Generalized Moreau-Rockafellar results for composed convex functions. Zbl 1201.90154
2009
Maximal monotonicity for the precomposition with a linear operator. Zbl 1133.47038
2007
Fenchel-Lagrange duality versus geometric duality in convex optimization. Zbl 1156.90024
Boţ, R. I.; Grad, S. M.; Wanka, G.
2006
Vector duality for convex vector optimization problems by means of the quasi-interior of the ordering cone. Zbl 1287.49037
2014
Fenchel’s duality theorem for nearly convex functions. Zbl 1165.90022
Boţ, R. I.; Grad, S. M.; Wanka, G.
2007
Vector optimization and monotone operators via convex duality. Recent advances. Zbl 1337.90080
2015
Approaching the maximal monotonicity of bifunctions via representative functions. Zbl 1267.47079
2012
Lower semicontinuous type regularity conditions for subdifferential calculus. Zbl 1220.90158
2010
New regularity conditions for Lagrange and Fenchel-Lagrange duality in infinite dimensional spaces. Zbl 1169.49036
2009
Weaker constraint qualifications in maximal monotonicity. Zbl 1119.47051
2007
Multiobjective duality for convex semidefinite programming problems. Zbl 1137.90711
Wanka, G.; Boţ, R. I.; Grad, S. M.
2003
Duality for vector optimization problems via a general scalarization. Zbl 1231.49032
2011
Classical linear vector optimization duality revisited. Zbl 1259.90117
2012
Wolfe duality and Mond-Weir duality via perturbations. Zbl 1220.90119
2010
Almost convex functions: conjugacy and duality. Zbl 1113.52027
2007
On gauge functions for convex cones with possibly empty interiors. Zbl 1365.90232
2017
Characterizations of $$\varepsilon$$-duality gap statements for composed optimization problems. Zbl 1308.49024
2013
A general approach for studying duality in multiobjective optimization. Zbl 1168.90604
2007
Characterizations via linear scalarization of minimal and properly minimal elements. Zbl 1404.90123
2018
Characterizations of $$\varepsilon$$-duality gap statements for constrained optimization problems. Zbl 1284.49041
2013
On linear vector optimization duality in infinite-dimensional spaces. Zbl 1241.90080
2011
Extending the classical vector Wolfe and Mond-Weir duality concepts via perturbations. Zbl 1214.49035
2011
Regularity conditions for formulae of biconjugate functions. Zbl 1169.42301
2008
Entropy constrained programs and geometric duality obtained via Fenchel-Lagrange duality approach. Zbl 1154.90615
2004
Characterizations via linear scalarization of minimal and properly minimal elements. Zbl 1404.90123
2018
On gauge functions for convex cones with possibly empty interiors. Zbl 1365.90232
2017
Vector optimization and monotone operators via convex duality. Recent advances. Zbl 1337.90080
2015
Vector duality for convex vector optimization problems by means of the quasi-interior of the ordering cone. Zbl 1287.49037
2014
Characterizations of $$\varepsilon$$-duality gap statements for composed optimization problems. Zbl 1308.49024
2013
Characterizations of $$\varepsilon$$-duality gap statements for constrained optimization problems. Zbl 1284.49041
2013
Approaching the maximal monotonicity of bifunctions via representative functions. Zbl 1267.47079
2012
Classical linear vector optimization duality revisited. Zbl 1259.90117
2012
Duality for vector optimization problems via a general scalarization. Zbl 1231.49032
2011
On linear vector optimization duality in infinite-dimensional spaces. Zbl 1241.90080
2011
Extending the classical vector Wolfe and Mond-Weir duality concepts via perturbations. Zbl 1214.49035
2011
Lower semicontinuous type regularity conditions for subdifferential calculus. Zbl 1220.90158
2010
Wolfe duality and Mond-Weir duality via perturbations. Zbl 1220.90119
2010
Duality in vector optimization. Zbl 1177.90355
2009
Generalized Moreau-Rockafellar results for composed convex functions. Zbl 1201.90154
2009
New regularity conditions for Lagrange and Fenchel-Lagrange duality in infinite dimensional spaces. Zbl 1169.49036
2009
On strong and total Lagrange duality for convex optimization problems. Zbl 1160.90004
2008
New regularity conditions for strong and total Fenchel-Lagrange duality in infinite dimensional spaces. Zbl 1142.49015
2008
A new constraint qualification for the formula of the subdifferential of composed convex functions in infinite dimensional spaces. Zbl 1155.49019
2008
Regularity conditions for formulae of biconjugate functions. Zbl 1169.42301
2008
New constraint qualification and conjugate duality for composed convex optimization problems. Zbl 1146.90494
Boţ, R. I.; Grad, S. M.; Wanka, G.
2007
Maximal monotonicity for the precomposition with a linear operator. Zbl 1133.47038
2007
Fenchel’s duality theorem for nearly convex functions. Zbl 1165.90022
Boţ, R. I.; Grad, S. M.; Wanka, G.
2007
Weaker constraint qualifications in maximal monotonicity. Zbl 1119.47051
2007
Almost convex functions: conjugacy and duality. Zbl 1113.52027
2007
A general approach for studying duality in multiobjective optimization. Zbl 1168.90604
2007
Fenchel-Lagrange duality versus geometric duality in convex optimization. Zbl 1156.90024
Boţ, R. I.; Grad, S. M.; Wanka, G.
2006
Entropy constrained programs and geometric duality obtained via Fenchel-Lagrange duality approach. Zbl 1154.90615
2004
Multiobjective duality for convex semidefinite programming problems. Zbl 1137.90711
Wanka, G.; Boţ, R. I.; Grad, S. M.
2003
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#### Cited by 198 Authors

 37 Boţ, Radu Ioan 23 Wanka, Gert 18 Grad, Sorin-Mihai 12 Sun, Xiangkai 10 Fang, Donghui 9 Csetnek, Ernö Robert 6 Flores-Bazán, Fabián 6 Goberna, Miguel Angel 5 Jeyakumar, Vaithilingam 4 Dinh, Nguyen Pham 4 Fajardo, María D. 4 Hadjisavvas, Nicolas 4 Hendrich, Christopher 4 Hodrea, Ioan Bogdan 4 Kuroiwa, Daishi 4 Li, Guoyin 4 Löhne, Andreas 4 Long, Xianjun 4 López-Cerdá, Marco Antonio 4 Suzuki, Satoshi 3 Altangerel, Lkhamsuren 3 Bauschke, Heinz H. 3 Chai, Yi 3 Dinh, Nguyen Van 3 Flores-Bazán, Fernando 3 Hamel, Andreas H. 3 Li, Gang 3 Li, Jun 3 Li, Shengjie J. 3 Long, Dang Hai 3 Mastroeni, Giandomenico 3 Tammer, Christiane 3 Volle, Michel 3 Wang, Shawn Xianfu 3 Wilfer, Oleg 3 Yao, Jen-Chih 3 Zaslavski, Alexander Yakovlevich 2 Aboussoror, Abdelmalek 2 Adly, Samir 2 Ansari, Qamrul Hasan 2 Bianchi, Monica 2 Boncea, Horaţiu Vasile 2 Cioban, Liana 2 Dinh The Luc 2 El Maghri, Mounir 2 Fu, Hongyong 2 Guo, Xiaole 2 Hernández, Elvira 2 Kanzi, Nader 2 Kim, Do Sang 2 László, Csaba Szilárd 2 Li, Chong 2 Martínez-Legaz, Juan-Enrique 2 Mishra, Shashi Kant 2 Mo, Tran Hong 2 Moffat, Sarah M. 2 Mordukhovich, Boris S. 2 Moursi, Walaa M. 2 Nghia, Tran T. A. 2 Peng, Zaiyun 2 Penot, Jean-Paul 2 Pini, Rita 2 Rodriguez Marin, Luis 2 Rudloff, Birgit 2 Schrage, Carola 2 Teo, Kok Lay 2 Vera, Cristián 2 Vicente-Pérez, José 2 Wang, Xianyun 2 Wei, Zhou 2 Yao, Liangjin 2 Yao, Shangfeng 2 Zălinescu, Constantin 2 Zeng, Jing 2 Zhou, Yuying 1 Abbasi, Mehdi 1 Alimohammady, Mohsen 1 Alizadeh, Mohammad Hossein 1 Aragón Artacho, Francisco Javier 1 Ararat, Çağın 1 Ban, Liqun 1 Battur, G. 1 Bento, Glaydston C. 1 Borwein, Jonathan Michael 1 Burachik, Regina Sandra 1 Burján-Mosoni, Boglárka 1 Busaniche, Manuela 1 Cabrer, Leonardo Manuel 1 Cárcamo, Gabriel 1 Chbani, Zaki 1 Chen, Chaoran 1 Chen, Chunrong 1 Chen, Jiawei 1 Chen, Zhe 1 Cheng, Cao-Zong 1 Chuong, Thai Doan 1 Correa, Rafael 1 Dadashi, Vahid 1 Dinh, Dieu Hang 1 Dinh, Nguyen N. ...and 98 more Authors
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#### Cited in 44 Serials

 23 Journal of Optimization Theory and Applications 22 Optimization 14 Journal of Mathematical Analysis and Applications 14 Optimization Letters 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Global Optimization 9 Mathematical Programming. Series A. Series B 7 Set-Valued and Variational Analysis 5 European Journal of Operational Research 5 Top 4 Central European Journal of Mathematics 4 Journal of Industrial and Management Optimization 3 Applicable Analysis 3 Journal of Convex Analysis 3 Mathematical Methods of Operations Research 2 Journal of Approximation Theory 2 Numerical Functional Analysis and Optimization 2 Acta Mathematicae Applicatae Sinica. English Series 2 Annals of Operations Research 2 SIAM Journal on Optimization 2 Vietnam Journal of Mathematics 2 Abstract and Applied Analysis 2 Positivity 2 Journal of Inequalities and Applications 2 Journal of Applied Mathematics 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Optimization 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Revista Matemática Iberoamericana 1 Mathematical and Computer Modelling 1 MCSS. Mathematics of Control, Signals, and Systems 1 Computational Optimization and Applications 1 Set-Valued Analysis 1 Computational and Applied Mathematics 1 Taiwanese Journal of Mathematics 1 Decisions in Economics and Finance 1 Mathematics and Financial Economics 1 Inverse Problems and Imaging 1 Numerical Algebra, Control and Optimization 1 Iranian Journal of Mathematical Sciences and Informatics 1 Journal of the Operations Research Society of China 1 Minimax Theory and its Applications
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#### Cited in 18 Fields

 155 Operations research, mathematical programming (90-XX) 63 Calculus of variations and optimal control; optimization (49-XX) 27 Operator theory (47-XX) 14 Functional analysis (46-XX) 13 Convex and discrete geometry (52-XX) 11 Real functions (26-XX) 8 Numerical analysis (65-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 General topology (54-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Measure and integration (28-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Mathematical logic and foundations (03-XX) 2 Approximations and expansions (41-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Systems theory; control (93-XX)