×
Author ID: dinh-the-luc. Recent zbMATH articles by "Dinh The Luc"
Published as: Dinh The Luc; Luc, Dinh The; Luc, D. T.; Luc, Dinh
Homepage: http://www.univ-avignon.fr/en/research/annuaire-chercheurs/membrestruc/personnel...
External Links: MGP
Documents Indexed: 122 Publications since 1978, including 3 Books
6 Contributions as Editor
Reviewing Activity: 105 Reviews
Co-Authors: 65 Co-Authors with 79 Joint Publications
2,149 Co-Co-Authors
all top 5

Serials

16 Journal of Optimization Theory and Applications
10 Acta Mathematica Vietnamica
8 Optimization
8 SIAM Journal on Optimization
6 Journal of Mathematical Analysis and Applications
6 Nonlinear Analysis. Theory, Methods & Applications
5 Mathematical Programming. Series A. Series B
5 Journal of Convex Analysis
5 Vietnam Journal of Mathematics
4 Bulletin of the Australian Mathematical Society
4 Journal of Global Optimization
3 Mathematics of Operations Research
3 Proceedings of the American Mathematical Society
3 Acta Mathematica Hungarica
3 European Journal of Operational Research
3 Set-Valued Analysis
3 Journal of Nonlinear and Convex Analysis
2 Mathematische Nachrichten
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Mathematical Methods of Operations Research
2 Journal of Statistics & Management Systems
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Journal of Mathematical Economics
1 Numerical Functional Analysis and Optimization
1 SIAM Journal on Control and Optimization
1 Transactions of the American Mathematical Society
1 Bulletin of the Iranian Mathematical Society
1 Problems of Control and Information Theory
1 Abstract and Applied Analysis
1 Advances in Nonlinear Variational Inequalities
1 Fixed Point Theory and Applications
1 Lecture Notes in Economics and Mathematical Systems
1 Nonconvex Optimization and Its Applications
1 Set-Valued and Variational Analysis
1 Springer Optimization and Its Applications

Publications by Year

Citations contained in zbMATH Open

108 Publications have been cited 1,722 times in 1,127 Documents Cited by Year
An existence theorem in vector optimization. Zbl 0688.90051
Dinh The Luc
168
1989
Approximate Jacobian matrices for nonsmooth continuous maps and \(C^{1}\)-optimization. Zbl 0923.49012
Jeyakumar, V.; Luc, D. T.
93
1998
Nonsmooth calculus, minimality, and monotonicity of convexificators. Zbl 0956.90033
Jeyakumar, V.; Luc, D. T.
88
1999
Contingent derivatives of set-valued maps and applications to vector optimization. Zbl 0718.90080
Dinh The Luc
66
1991
Nonsmooth vector functions and continuous optimization. Zbl 1138.90002
Jeyakumar, V.; Dinh The Luc
59
2008
Stability of solutions in parametric variational relation problems. Zbl 1161.49023
Khanh, P. Q.; Luc, D. T.
57
2008
An abstract problem in variational analysis. Zbl 1148.49009
Luc, D. T.
57
2008
Approximate convex functions. Zbl 1033.49029
Huynh Van Ngai; Dinh The Luc; Théra, Michel
55
2000
Existence of solutions in variational relation problems without convexity. Zbl 1183.49017
Luc, Dinh The; Sarabi, Ebrahim; Soubeyran, Antoine
47
2010
Existence results for densely pseudomonotone variational inequalities. Zbl 0974.49006
Dinh The Luc
43
2001
Characterisations of quasiconvex functions. Zbl 0790.49015
Dinh The Luc
38
1993
Convergence of asymptotic directions. Zbl 0974.54003
Dinh The Luc; Penot, Jean-Paul
37
2001
A saddlepoint theorem for set-valued maps. Zbl 0797.90120
Dinh The Luc; Vargas, Cristóbal
33
1992
Connectedness of the efficient point sets in quasiconcave vector maximization. Zbl 0615.90087
Dinh The Luc
31
1987
Robust aspects of solutions in deterministic multiple objective linear programming. Zbl 1317.90262
Georgiev, Pando G.; Luc, Dinh The; Pardalos, Panos M.
30
2013
Scalarization of vector optimization problems. Zbl 0622.90083
Dinh The Luc
29
1987
Existence conditions in variational inclusions with constraints. Zbl 1153.49305
Luc, D. T.; Tan, N. X.
27
2004
Theory of vector optimization. Zbl 0654.90082
Dinh The Luc
26
1988
A multiplier rule for multiobjective programming problems with continuous data. Zbl 1055.90063
Dinh The Luc
26
2002
On duality theory in multiobjective programming. Zbl 0517.90076
Dinh The Luc
25
1984
\(\varepsilon\)-subdifferential and \(\varepsilon\)-monotonicity. Zbl 0945.49013
Jofré, Alejandro; Luc, Dinh The; Théra, Michel
25
1998
Optimality conditions for \(C^{1,1}\) vector optimization problems. Zbl 1038.49027
Guerraggio, A.; Luc, D. T.
25
2001
On mixed variational relation problems. Zbl 1205.49014
Balaj, Mircea; Luc, Dinh The
24
2010
Multiobjective linear programming. An introduction. Zbl 1337.90057
Dinh The Luc
23
2016
Convex vector functions and their subdifferential. Zbl 0906.49007
Dinh The Luc; Nguyen Xuan Tan; Phan Nhat Tinh
21
1998
Convergence of the efficient sets. Zbl 0803.49015
Dinh The Luc; Lucchetti, R.; Maliverti, C.
20
1994
Optimality conditions for \(C^{1,1}\) constrained multiobjective problems. Zbl 1030.90115
Guerraggio, A.; Luc, D. T.
19
2003
Invex optimization problems. Zbl 0755.90072
Dinh The Luc; Malivert, C.
17
1992
Characterizations of generalized monotone nonsmooth continuous maps using approximate Jacobians. Zbl 0911.49014
Jeyakumar, V.; Luc, D. T.; Schaible, S.
17
1998
Scalarizing functions for generating the weakly efficient solution set in convex multiobjective problems. Zbl 1114.90115
Luc, Dinh The; Phong, Thai Quynh; Volle, Michel
16
2005
Recession maps and applications. Zbl 0823.46037
Dinh The Luc
15
1993
On generalised convex nonsmooth functions 2. Zbl 0811.90096
Dinh The Luc
15
1994
Second-order optimality conditions for \(C^1\) multiobjective programming problems. Zbl 1027.90079
Guerraggio, A.; Luc, D. T.; Minh, N. B.
14
2001
Recession cones and the domination property in vector optimization. Zbl 0721.90065
Dinh The Luc
13
1990
Contractibility of efficient point sets in normed spaces. Zbl 0718.90077
Dinh The Luc
13
1990
Pareto optimality. Zbl 1191.49002
Luc, Dinh The
12
2008
Generalized monotone nonsmooth maps. Zbl 0870.90091
Dinh The Luc; Schaible, S.
12
1996
Efficiency and generalized concavity. Zbl 0886.90121
Luc, D. T.; Schaible, S.
12
1997
Normal cones to a polyhedral convex set and generating efficient faces in linear multiobjective programming. Zbl 0959.90042
Nguyen thi Bach Kim; Dinh The Luc
11
2000
Variational relation problems: existence of solutions and fixed points of contraction mappings. Zbl 1296.49021
Latif, Abdul; Luc, Dinh
11
2013
Second order optimality conditions for problems with continuously differentiable data. Zbl 1008.90070
Dinh The Luc
10
2002
A characterization of convex functions. Zbl 0778.49020
Dinh The Luc; Swaminathan, S.
10
1993
Local uniqueness of solutions of general variational inequalities. Zbl 1030.49005
Luc, D. T.; Noor, M. A.
10
2003
Solution point characterizations and convergence analysis of a descent algorithm for nonsmooth continuous complementarity problems. Zbl 1064.90048
Fischer, A.; Jeyakumar, V.; Luc, D. T.
10
2001
Differentiable selection of optimal solutions in parametric linear programming. Zbl 0861.90117
Dinh The Luc; Pham Huy Dien
10
1997
Existence conditions in general quasimonotone variational inequalities. Zbl 1095.49007
Aussel, D.; Luc, D. T.
10
2005
Taylor’s formula for \(C^{k,1}\) functions. Zbl 0852.49012
Dinh The Luc
10
1995
Axiomatic approach to duality in optimization. Zbl 0763.90075
Dinh The Luc; Jahn, Johannes
9
1992
Structure of the efficient point set. Zbl 0596.49007
Dinh The Luc
9
1985
On the domination property in vector optimization. Zbl 0533.90081
Dinh The Luc
9
1984
Recessively compact sets: properties and uses. Zbl 1046.54009
Dinh The Luc
9
2002
The Fréchet approximate Jacobian and local uniqueness in variational inequalities. Zbl 1012.49009
Dinh The Luc
9
2002
Generalized convexity in vector optimization. Zbl 1096.90032
Dinh The Luc
9
2005
Semi-differentiability of the marginal mapping in vector optimization. Zbl 1398.90155
Luc, Dinh The; Soleimani-damaneh, Majid; Zamani, Moslem
9
2018
An open mapping theorem using unbounded generalized Jacobians. Zbl 1035.49016
Jeyakumar, V.; Luc, D. T.
8
2002
On \(\varepsilon\)-monotonicity and \(\varepsilon\)-convexity. Zbl 0965.49017
Dinh The Luc; Huynh Van Ngai; Thera, M.
8
2000
Extensions of Fréchet \(\varepsilon\)-subdifferential calculus and applications. Zbl 1029.49015
Huynh Van Ngai; Dinh The Luc; Théra, M.
8
2002
Variable preference relations: existence of maximal elements. Zbl 1284.91350
Luc, Dinh The; Soubeyran, Antoine
8
2013
On second-order conditions for nonsmooth problems with constraints. Zbl 1285.49015
Dhara, Anulekha; Luc, Dinh The; Tinh, Phan Nhat
8
2012
Local uniqueness of solutions for equilibrium problems. Zbl 1181.49010
Phan Quoc Khanh; Dinh The Luc; Nguyen Dinh Tuan
7
2006
On duality in multiple objective linear programming. Zbl 1219.90157
Luc, Dinh The
7
2011
Derivatives with support and applications. Zbl 0813.49020
Dinh The Luc; Théra, Michel
7
1994
Levels sets infimal convolution and level addition. Zbl 0892.90179
Luc, D. T.; Volle, M.
7
1997
Order-preserving transformations and applications. Zbl 1036.90059
Cambini, A.; Luc, D. T.; Martein, L.
6
2003
Maximal elements under reference-dependent preferences with applications to behavioral traps and games. Zbl 1257.91019
Flores-Bazán, Fabián; Luc, Dinh The; Soubeyran, Antoine
6
2012
Properly maximal points in product spaces. Zbl 1278.90356
Guerraggio, Angelo; Luc, Dinh The
6
2006
Theorems of the alternative and their applications in multiobjective optimization. Zbl 0576.90092
Dinh The Luc
6
1985
On sensitivity in linear multiobjective programming. Zbl 1168.90615
Thuan, L. V.; Luc, D. T.
6
2000
Convex composite non-Lipschitz programming. Zbl 1019.90049
Jeyakumar, V.; Luc, D. T.; Tinh, P. N.
6
2002
Generating the weakly efficient set of nonconvex multiobjective problems. Zbl 1152.90590
Gourion, Daniel; Luc, Dinh The
6
2008
On three concepts of quasiconvexity in vector optimization. Zbl 0723.90067
Dinh The Luc
5
1990
Equilibrium in a vector supply-demand network with capacity constraints. Zbl 1214.90020
Luc, Dinh The; Rocca, Mateo; Papalia, Melanie
5
2011
Least deviation decomposition with respect to a pair of convex sets. Zbl 0940.41019
Luc, D. T.; Martínez-Legaz, J. E.; Seeger, A.
5
1999
Chain rules for approximate Jacobians of continuous functions. Zbl 1090.90199
Dinh The Luc
5
2005
Second-order asymptotic directions of unbounded sets with application to optimization. Zbl 1213.90227
Hadjisavvas, Nicolas; Luc, Dinh The
5
2011
Equilibrium in multi-criteria supply and demand networks with capacity constraints. Zbl 1319.90016
Truong, Thi Thanh Phuong; Luc, Dinh The
5
2015
Duality for optimization problems with infinite sums. Zbl 1421.90140
Luc, Dinh The; Volle, Michel
5
2019
A new duality approach to solving concave vector maximization problems. Zbl 1120.90061
Dinh The Luc; Tai Quynh Phong; Michel, Volle
4
2006
Finding efficient solutions by free disposal outer approximation. Zbl 1229.90177
Gourion, Daniel; Luc, Dinh The
4
2010
Multi-product supply demand networks with elementary flows. Zbl 1228.90020
Luc, Dinh The
4
2011
On the maximal monotonicity of subdifferentials. Zbl 0880.49020
Dinh The Luc
4
1993
Equilibrium in multi-criteria transportation networks. Zbl 1338.90083
Luc, Dinh The; Phuong, Truong Thi Thanh
4
2016
A general fixed point theorem for multivalued mappings that are not necessarily contractions and applications. Zbl 1469.54143
Latif, Abdul; Dinh The Luc
4
2014
On Nash equilibrium. I. Zbl 0516.90087
Dinh The Luc
3
1982
Convex interior mapping theorems for continuous nonsmooth functions and optimization. Zbl 1107.90446
Jeyakumar, V.; Luc, D. T.
3
2002
Smooth representation of a parametric polyhedral convex set with application to sensitivity in optimization. Zbl 0861.52002
Dinh The Luc
3
1997
A strong mean value theorem and applications. Zbl 0855.49010
Luc, Dinh The
3
1996
On the properly efficient points of nonconvex sets. Zbl 0908.90227
Dinh The Luc
3
1995
Normal cone method in solving linear multiobjective problems. Zbl 1079.90598
Kim, Nguyen Thi Bach; Luc, Dinh The
3
2002
A solution method for linear variational relation problems. Zbl 1330.90113
Dhara, Anulekha; Luc, Dinh The
3
2014
A unified concept of approximate and quasi efficient solutions and associated subdifferentials in multiobjective optimization. Zbl 1483.90153
Huerga, L.; Jiménez, B.; Luc, D. T.; Novo, V.
3
2021
Duality for extended infinite monotropic optimization problems. Zbl 1478.90125
Luc, Dinh The; Volle, Michel
3
2021
Generalized convexity and related topics. Proceedings of the 8th international symposium on generalized convexity and monotonicity, Varese, Italy, July 4–8, 2005. Zbl 1098.49003
2
2007
Convexity and closedness of sets with respect to cones. Zbl 0632.52002
Dinh The Luc
2
1987
About duality and alternative in multi-objective optimization. Zbl 0597.90086
Dinh The Luc
2
1987
Generalized monotone set valued maps and support bifunctions. Zbl 0893.47034
Dinh The Luc
2
1996
Generalized convexity, generalized monotonicity and applications. Proceedings of the 7th international symposium on generalized convexity and generalized monotonicity, Hanoi, Vietnam, August 27–31, 2002. Zbl 1055.90002
2
2005
Subdifferential characterization of quasiconvex and convex vector functions. Zbl 0928.49016
Phan Nhat Tinh; Dinh The Luc; Nguyen Xuan Tan
2
1998
On epsilon-stability in optimization. Zbl 1411.90271
Dinh The Luc; Volle, Michel
2
2018
Continuity properties of cone-convex functions. Zbl 0819.90071
Dinh The Luc
1
1990
A unified concept of approximate and quasi efficient solutions and associated subdifferentials in multiobjective optimization. Zbl 1483.90153
Huerga, L.; Jiménez, B.; Luc, D. T.; Novo, V.
3
2021
Duality for extended infinite monotropic optimization problems. Zbl 1478.90125
Luc, Dinh The; Volle, Michel
3
2021
Algebraic approach to duality in optimization and applications. Zbl 1479.90217
Luc, Dinh The; Volle, Michel
1
2021
A general asymptotic function with applications in nonconvex optimization. Zbl 1491.90162
Hadjisavvas, Nicolas; Lara, Felipe; Luc, Dinh The
1
2020
Duality for optimization problems with infinite sums. Zbl 1421.90140
Luc, Dinh The; Volle, Michel
5
2019
Semi-differentiability of the marginal mapping in vector optimization. Zbl 1398.90155
Luc, Dinh The; Soleimani-damaneh, Majid; Zamani, Moslem
9
2018
On epsilon-stability in optimization. Zbl 1411.90271
Dinh The Luc; Volle, Michel
2
2018
Multiobjective linear programming. An introduction. Zbl 1337.90057
Dinh The Luc
23
2016
Equilibrium in multi-criteria transportation networks. Zbl 1338.90083
Luc, Dinh The; Phuong, Truong Thi Thanh
4
2016
Solving generalized convex multiobjective programming problems by a normal direction method. Zbl 1351.90146
Thang, Tran Ngoc; Luc, Dinh The; Kim, Nguyen Thi Bach
1
2016
Equilibrium in multi-criteria supply and demand networks with capacity constraints. Zbl 1319.90016
Truong, Thi Thanh Phuong; Luc, Dinh The
5
2015
A general fixed point theorem for multivalued mappings that are not necessarily contractions and applications. Zbl 1469.54143
Latif, Abdul; Dinh The Luc
4
2014
A solution method for linear variational relation problems. Zbl 1330.90113
Dhara, Anulekha; Luc, Dinh The
3
2014
Saddle points and scalarizing sets in multiple objective linear programming. Zbl 1311.90134
Gourion, Daniel; Luc, Dinh The
1
2014
Robust aspects of solutions in deterministic multiple objective linear programming. Zbl 1317.90262
Georgiev, Pando G.; Luc, Dinh The; Pardalos, Panos M.
30
2013
Variational relation problems: existence of solutions and fixed points of contraction mappings. Zbl 1296.49021
Latif, Abdul; Luc, Dinh
11
2013
Variable preference relations: existence of maximal elements. Zbl 1284.91350
Luc, Dinh The; Soubeyran, Antoine
8
2013
On second-order conditions for nonsmooth problems with constraints. Zbl 1285.49015
Dhara, Anulekha; Luc, Dinh The; Tinh, Phan Nhat
8
2012
Maximal elements under reference-dependent preferences with applications to behavioral traps and games. Zbl 1257.91019
Flores-Bazán, Fabián; Luc, Dinh The; Soubeyran, Antoine
6
2012
On duality in multiple objective linear programming. Zbl 1219.90157
Luc, Dinh The
7
2011
Equilibrium in a vector supply-demand network with capacity constraints. Zbl 1214.90020
Luc, Dinh The; Rocca, Mateo; Papalia, Melanie
5
2011
Second-order asymptotic directions of unbounded sets with application to optimization. Zbl 1213.90227
Hadjisavvas, Nicolas; Luc, Dinh The
5
2011
Multi-product supply demand networks with elementary flows. Zbl 1228.90020
Luc, Dinh The
4
2011
Existence of solutions in variational relation problems without convexity. Zbl 1183.49017
Luc, Dinh The; Sarabi, Ebrahim; Soubeyran, Antoine
47
2010
On mixed variational relation problems. Zbl 1205.49014
Balaj, Mircea; Luc, Dinh The
24
2010
Finding efficient solutions by free disposal outer approximation. Zbl 1229.90177
Gourion, Daniel; Luc, Dinh The
4
2010
Nonsmooth vector functions and continuous optimization. Zbl 1138.90002
Jeyakumar, V.; Dinh The Luc
59
2008
Stability of solutions in parametric variational relation problems. Zbl 1161.49023
Khanh, P. Q.; Luc, D. T.
57
2008
An abstract problem in variational analysis. Zbl 1148.49009
Luc, D. T.
57
2008
Pareto optimality. Zbl 1191.49002
Luc, Dinh The
12
2008
Generating the weakly efficient set of nonconvex multiobjective problems. Zbl 1152.90590
Gourion, Daniel; Luc, Dinh The
6
2008
Outer semicontinuity of positive hull mappings with application to semi-infinite and stochastic programming. Zbl 1161.49014
Luc, Dinh The; Wets, Roger J.-B.
1
2008
Generalized convexity and related topics. Proceedings of the 8th international symposium on generalized convexity and monotonicity, Varese, Italy, July 4–8, 2005. Zbl 1098.49003
2
2007
Local uniqueness of solutions for equilibrium problems. Zbl 1181.49010
Phan Quoc Khanh; Dinh The Luc; Nguyen Dinh Tuan
7
2006
Properly maximal points in product spaces. Zbl 1278.90356
Guerraggio, Angelo; Luc, Dinh The
6
2006
A new duality approach to solving concave vector maximization problems. Zbl 1120.90061
Dinh The Luc; Tai Quynh Phong; Michel, Volle
4
2006
Scalarizing functions for generating the weakly efficient solution set in convex multiobjective problems. Zbl 1114.90115
Luc, Dinh The; Phong, Thai Quynh; Volle, Michel
16
2005
Existence conditions in general quasimonotone variational inequalities. Zbl 1095.49007
Aussel, D.; Luc, D. T.
10
2005
Generalized convexity in vector optimization. Zbl 1096.90032
Dinh The Luc
9
2005
Chain rules for approximate Jacobians of continuous functions. Zbl 1090.90199
Dinh The Luc
5
2005
Generalized convexity, generalized monotonicity and applications. Proceedings of the 7th international symposium on generalized convexity and generalized monotonicity, Hanoi, Vietnam, August 27–31, 2002. Zbl 1055.90002
2
2005
Existence conditions in variational inclusions with constraints. Zbl 1153.49305
Luc, D. T.; Tan, N. X.
27
2004
Optimality conditions for \(C^{1,1}\) constrained multiobjective problems. Zbl 1030.90115
Guerraggio, A.; Luc, D. T.
19
2003
Local uniqueness of solutions of general variational inequalities. Zbl 1030.49005
Luc, D. T.; Noor, M. A.
10
2003
Order-preserving transformations and applications. Zbl 1036.90059
Cambini, A.; Luc, D. T.; Martein, L.
6
2003
Sharp variational conditions for convex composite nonsmooth functions. Zbl 1032.49022
Jeyakumar, V.; Luc, D. T.
1
2003
A multiplier rule for multiobjective programming problems with continuous data. Zbl 1055.90063
Dinh The Luc
26
2002
Second order optimality conditions for problems with continuously differentiable data. Zbl 1008.90070
Dinh The Luc
10
2002
Recessively compact sets: properties and uses. Zbl 1046.54009
Dinh The Luc
9
2002
The Fréchet approximate Jacobian and local uniqueness in variational inequalities. Zbl 1012.49009
Dinh The Luc
9
2002
An open mapping theorem using unbounded generalized Jacobians. Zbl 1035.49016
Jeyakumar, V.; Luc, D. T.
8
2002
Extensions of Fréchet \(\varepsilon\)-subdifferential calculus and applications. Zbl 1029.49015
Huynh Van Ngai; Dinh The Luc; Théra, M.
8
2002
Convex composite non-Lipschitz programming. Zbl 1019.90049
Jeyakumar, V.; Luc, D. T.; Tinh, P. N.
6
2002
Convex interior mapping theorems for continuous nonsmooth functions and optimization. Zbl 1107.90446
Jeyakumar, V.; Luc, D. T.
3
2002
Normal cone method in solving linear multiobjective problems. Zbl 1079.90598
Kim, Nguyen Thi Bach; Luc, Dinh The
3
2002
Existence results for densely pseudomonotone variational inequalities. Zbl 0974.49006
Dinh The Luc
43
2001
Convergence of asymptotic directions. Zbl 0974.54003
Dinh The Luc; Penot, Jean-Paul
37
2001
Optimality conditions for \(C^{1,1}\) vector optimization problems. Zbl 1038.49027
Guerraggio, A.; Luc, D. T.
25
2001
Second-order optimality conditions for \(C^1\) multiobjective programming problems. Zbl 1027.90079
Guerraggio, A.; Luc, D. T.; Minh, N. B.
14
2001
Solution point characterizations and convergence analysis of a descent algorithm for nonsmooth continuous complementarity problems. Zbl 1064.90048
Fischer, A.; Jeyakumar, V.; Luc, D. T.
10
2001
Approximate convex functions. Zbl 1033.49029
Huynh Van Ngai; Dinh The Luc; Théra, Michel
55
2000
Normal cones to a polyhedral convex set and generating efficient faces in linear multiobjective programming. Zbl 0959.90042
Nguyen thi Bach Kim; Dinh The Luc
11
2000
On \(\varepsilon\)-monotonicity and \(\varepsilon\)-convexity. Zbl 0965.49017
Dinh The Luc; Huynh Van Ngai; Thera, M.
8
2000
On sensitivity in linear multiobjective programming. Zbl 1168.90615
Thuan, L. V.; Luc, D. T.
6
2000
Nonsmooth calculus, minimality, and monotonicity of convexificators. Zbl 0956.90033
Jeyakumar, V.; Luc, D. T.
88
1999
Least deviation decomposition with respect to a pair of convex sets. Zbl 0940.41019
Luc, D. T.; Martínez-Legaz, J. E.; Seeger, A.
5
1999
Approximate Jacobian matrices for nonsmooth continuous maps and \(C^{1}\)-optimization. Zbl 0923.49012
Jeyakumar, V.; Luc, D. T.
93
1998
\(\varepsilon\)-subdifferential and \(\varepsilon\)-monotonicity. Zbl 0945.49013
Jofré, Alejandro; Luc, Dinh The; Théra, Michel
25
1998
Convex vector functions and their subdifferential. Zbl 0906.49007
Dinh The Luc; Nguyen Xuan Tan; Phan Nhat Tinh
21
1998
Characterizations of generalized monotone nonsmooth continuous maps using approximate Jacobians. Zbl 0911.49014
Jeyakumar, V.; Luc, D. T.; Schaible, S.
17
1998
Subdifferential characterization of quasiconvex and convex vector functions. Zbl 0928.49016
Phan Nhat Tinh; Dinh The Luc; Nguyen Xuan Tan
2
1998
Efficiency and generalized concavity. Zbl 0886.90121
Luc, D. T.; Schaible, S.
12
1997
Differentiable selection of optimal solutions in parametric linear programming. Zbl 0861.90117
Dinh The Luc; Pham Huy Dien
10
1997
Levels sets infimal convolution and level addition. Zbl 0892.90179
Luc, D. T.; Volle, M.
7
1997
Smooth representation of a parametric polyhedral convex set with application to sensitivity in optimization. Zbl 0861.52002
Dinh The Luc
3
1997
Generalized monotone nonsmooth maps. Zbl 0870.90091
Dinh The Luc; Schaible, S.
12
1996
A strong mean value theorem and applications. Zbl 0855.49010
Luc, Dinh The
3
1996
Generalized monotone set valued maps and support bifunctions. Zbl 0893.47034
Dinh The Luc
2
1996
Taylor’s formula for \(C^{k,1}\) functions. Zbl 0852.49012
Dinh The Luc
10
1995
On the properly efficient points of nonconvex sets. Zbl 0908.90227
Dinh The Luc
3
1995
Convergence of the efficient sets. Zbl 0803.49015
Dinh The Luc; Lucchetti, R.; Maliverti, C.
20
1994
On generalised convex nonsmooth functions 2. Zbl 0811.90096
Dinh The Luc
15
1994
Derivatives with support and applications. Zbl 0813.49020
Dinh The Luc; Théra, Michel
7
1994
Characterisations of quasiconvex functions. Zbl 0790.49015
Dinh The Luc
38
1993
Recession maps and applications. Zbl 0823.46037
Dinh The Luc
15
1993
A characterization of convex functions. Zbl 0778.49020
Dinh The Luc; Swaminathan, S.
10
1993
On the maximal monotonicity of subdifferentials. Zbl 0880.49020
Dinh The Luc
4
1993
A saddlepoint theorem for set-valued maps. Zbl 0797.90120
Dinh The Luc; Vargas, Cristóbal
33
1992
Invex optimization problems. Zbl 0755.90072
Dinh The Luc; Malivert, C.
17
1992
Axiomatic approach to duality in optimization. Zbl 0763.90075
Dinh The Luc; Jahn, Johannes
9
1992
Contingent derivatives of set-valued maps and applications to vector optimization. Zbl 0718.90080
Dinh The Luc
66
1991
Recession cones and the domination property in vector optimization. Zbl 0721.90065
Dinh The Luc
13
1990
Contractibility of efficient point sets in normed spaces. Zbl 0718.90077
Dinh The Luc
13
1990
On three concepts of quasiconvexity in vector optimization. Zbl 0723.90067
Dinh The Luc
5
1990
Continuity properties of cone-convex functions. Zbl 0819.90071
Dinh The Luc
1
1990
An existence theorem in vector optimization. Zbl 0688.90051
Dinh The Luc
168
1989
Theory of vector optimization. Zbl 0654.90082
Dinh The Luc
26
1988
Connectedness of the efficient point sets in quasiconcave vector maximization. Zbl 0615.90087
Dinh The Luc
31
1987
Scalarization of vector optimization problems. Zbl 0622.90083
Dinh The Luc
29
1987
Convexity and closedness of sets with respect to cones. Zbl 0632.52002
Dinh The Luc
2
1987
...and 8 more Documents
all top 5

Cited by 962 Authors

64 Dinh The Luc
37 Phan Quôc Khánh
26 Li, Shengjie
22 Gadhi, Nazih Abderrazzak
22 Lin, Lai-Jiu
22 Penot, Jean-Paul
19 Pham Huu Sach
15 Su, Tran Van
14 Jeyakumar, Vaithilingam
14 Lara, Felipe
14 Lee, Gue Myung
14 Novo-Sanjurjo, Vicente
14 Soleimani-damaneh, Majid
14 Yang, Xiaoqi
14 Yao, Jen-Chih
13 Huang, Nan-Jing
13 Lalitha, C. S.
13 Nobakhtian, Soghra
12 Balaj, Mircea
12 Mishra, Shashi Kant
11 Do Van Luu
11 Hadjisavvas, Nicolas
11 Rodriguez Marin, Luis
11 Soubeyran, Antoine
10 Ansari, Qamrul Hasan
10 Daniilidis, Aris
10 Gutiérrez, César
10 Kim, Do Sang
10 Le Anh Tuan
10 Mordukhovich, Boris S.
10 Thai Doan Chuong
10 Yang, Xinmin
9 Dempe, Stephan
9 Flores-Bazán, Fabián
9 Ginchev, Ivan G.
9 Hernández, Elvira
9 Lafhim, Lahoussine
9 Tammer, Christiane
9 Nguyen Dong Yen
9 Zafarani, Jafar
8 Anh, Lam Quoc
8 Eichfelder, Gabriele
8 Farajzadeh, Ali P.
8 Gong, Xunhua
8 Huy, Nguyen Quang
8 Ivanov, Vsevolod Ivanov
8 Jiménez, Bienvenido
8 Kabgani, Alireza
8 László, Csaba Szilárd
8 Li, Guoyin
8 Martínez-Legaz, Juan-Enrique
8 Quan, Nguyen Hong
8 Rocca, Matteo
8 Teo, Kok Lay
7 Anh, Nguyen Le Hoang
7 Crespi, Giovanni Paolo
7 Fang, Yaping
7 Hamel, Andreas H.
7 Kohli, Bhawna
7 Noor, Muhammad Aslam
7 Pastor, Karel
7 Truong Xuan Duc Ha
7 Tuan, Nguyen Dinh
7 Võ Sĩ Trọng Long
7 Volle, Michel
7 Yang, Zhe
7 Yu, Guolin
6 Aussel, Didier
6 El Idrissi, Mohammed
6 Guerraggio, Angelo
6 Hang, Dinh Dieu
6 Jahn, Johannes
6 Löhne, Andreas
6 Miglierina, Enrico
6 Molho, Elena
6 Movahedian, Nooshin
6 Oliveira, Paulo Roberto
6 Sama, Miguel
6 Taa, Ahmed
6 Tanaka, Tamaki
6 Théra, Michel A.
6 Tung, Le Thanh
6 Wang, Qilin
6 Zheng, Xiyin
6 Zhu, Shengkun
5 Bouza-Allende, Gemayqzel
5 Chadli, Ouayl
5 Chang, Shih-Sen
5 Ding, Xie Ping
5 Dutta, Joydeep
5 Epstein, Leah
5 Fakhar, Majid
5 Fukuda, Ellen Hidemi
5 Golestani, Mohammad
5 Graña Drummond, L. M.
5 Han, Yu
5 Huynh Van Ngai
5 Jimenez Guerra, Pedro
5 Khan, Akhtar Ali
5 Kuroiwa, Daishi
...and 862 more Authors
all top 5

Cited in 151 Serials

179 Journal of Optimization Theory and Applications
120 Optimization
107 Journal of Global Optimization
58 Journal of Mathematical Analysis and Applications
49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
30 Optimization Letters
28 Numerical Functional Analysis and Optimization
28 Mathematical Programming. Series A. Series B
28 Positivity
24 Set-Valued and Variational Analysis
20 SIAM Journal on Optimization
16 European Journal of Operational Research
16 Journal of Industrial and Management Optimization
15 Mathematical Methods of Operations Research
13 Applied Mathematics Letters
13 Journal of Inequalities and Applications
12 Applicable Analysis
11 Computational Optimization and Applications
11 Fixed Point Theory and Applications
10 Computers & Mathematics with Applications
9 Acta Mathematica Vietnamica
9 Applied Mathematics and Computation
9 Annals of Operations Research
9 Abstract and Applied Analysis
9 Journal of Applied Mathematics
8 Operations Research Letters
8 Set-Valued Analysis
8 Journal of Convex Analysis
8 RAIRO. Operations Research
8 Nonlinear Analysis. Theory, Methods & Applications
8 Journal of Nonlinear and Variational Analysis
7 Computational and Applied Mathematics
7 Top
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Applied Mathematics and Mechanics. (English Edition)
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Bulletin of the Iranian Mathematical Society
5 Journal of Fixed Point Theory and Applications
4 Bulletin of the Australian Mathematical Society
4 Journal of Computational and Applied Mathematics
4 Opsearch
4 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
4 Topology and its Applications
4 Filomat
4 4OR
3 Applied Mathematics and Optimization
3 Kybernetika
3 Acta Mathematica Hungarica
3 Asia-Pacific Journal of Operational Research
3 Applications of Mathematics
3 Optimization Methods & Software
3 Taiwanese Journal of Mathematics
3 Journal of Systems Science and Complexity
3 Mediterranean Journal of Mathematics
3 Open Mathematics
2 Mathematical Notes
2 Fuzzy Sets and Systems
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Functional Analysis
2 Mathematische Nachrichten
2 Mathematics of Operations Research
2 Journal of Information & Optimization Sciences
2 Acta Applicandae Mathematicae
2 Acta Mathematicae Applicatae Sinica. English Series
2 Japan Journal of Industrial and Applied Mathematics
2 Numerical Algorithms
2 Applied Mathematical Modelling
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Linear Algebra and its Applications
2 Journal of Applied Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Vietnam Journal of Mathematics
2 Journal of Combinatorial Optimization
2 Acta Mathematica Sinica. English Series
2 Optimization and Engineering
2 Nihonkai Mathematical Journal
2 Journal of the Australian Mathematical Society
2 Decisions in Economics and Finance
2 Journal of Applied Mathematics and Computing
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Thai Journal of Mathematics
2 Computational Management Science
2 Communications in Mathematical Analysis
2 Journal of Nonlinear Science and Applications
2 Croatian Operational Research Review (CRORR)
2 Numerical Algebra, Control and Optimization
2 Journal of Mathematical Extension
2 S\(\vec{\text{e}}\)MA Journal
2 Journal of the Operations Research Society of China
1 International Journal of Modern Physics B
1 Archiv der Mathematik
1 Automatica
1 Information Sciences
1 Journal of Approximation Theory
1 Journal of Mathematical Economics
1 Journal of the Operations Research Society of Japan
1 Le Matematiche
1 Results in Mathematics
1 SIAM Journal on Control and Optimization
...and 51 more Serials

Citations by Year