Edit Profile (opens in new tab) Dinh The Luc Compute Distance To: Compute Author ID: dinh-the-luc. Published as: Dinh The Luc; Luc, Dinh The; Luc, D. T.; Luc, Dinh more...less 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: 64 Co-Authors with 79 Joint Publications 2,015 Co-Co-Authors all top 5 Co-Authors 48 single-authored 9 Jeyakumar, Vaithilingam 6 Volle, Michel 5 Guerraggio, Angelo 5 Théra, Michel A. 4 Nguyen Xuan Tan 3 Gourion, Daniel 3 Hadjisavvas, Nicolas 3 Huynh Van Ngai 3 Martínez-Legaz, Juan-Enrique 3 Minh, Nguyen Ba 3 Phan Quôc Khánh 3 Schaible, Siegfried 3 Soubeyran, Antoine 2 Cambini, Alberto 2 Dhara, Anulekha 2 Kim, Nguyen Thi Bach 2 Latif, Abdul 2 Martein, Laura 2 Pham Huy Dien 2 Phong, Thai Quynh 2 Soleimani-damaneh, Majid 2 Tinh, Phan Nhat 1 Aussel, Didier 1 Balaj, Mircea 1 Bednarczuk, Ewa M. 1 Crespi, Giovanni Paolo 1 Eberhard, Andrew C. 1 Fischer, Andreas 1 Flores-Bazán, Fabián 1 Georgiev, Pando Grigorov 1 Huerga, Lidia 1 Jahn, Johannes 1 Jiménez, Bienvenido 1 Jofré, Alejandro 1 Kruger, Alexander Y. 1 Lara, Felipe 1 Mahdavi-Amiri, Nezam 1 Malivert, Christian 1 Maliverti, C. 1 Michel, Volle 1 Mishra, Shashi Kant 1 Mordukhovich, Boris S. 1 Nguyen Dinh Tuan 1 Nguyen thi Bach Kim 1 Noor, Muhammad Aslam 1 Novo-Sanjurjo, Vicente 1 Papalia, Melanie 1 Pardalos, Panos M. 1 Penot, Jean-Paul 1 Phan Nhat Tinh 1 Phuong, Truong Thi Thanh 1 Rocca, Matteo 1 Rubinov, Aleksandr Moiseevich 1 Sarabi, Ebrahim 1 Seeger, Alberto 1 Tammer, Christiane 1 Thang, Tran Ngoc 1 Thuan, L. V. 1 Truong Quang Bao 1 Truong, Thi Thanh Phuong 1 Vargas, Cristobal 1 Wets, Roger Jean-Baptiste 1 Nguyen Dong Yen 1 Zamani, Moslem 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 all top 5 Fields 93 Operations research, mathematical programming (90-XX) 66 Calculus of variations and optimal control; optimization (49-XX) 14 Real functions (26-XX) 13 Operator theory (47-XX) 8 Convex and discrete geometry (52-XX) 6 General and overarching topics; collections (00-XX) 5 Functional analysis (46-XX) 5 General topology (54-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 1,563 times in 1,015 Documents Cited by ▼ Year ▼ An existence theorem in vector optimization. Zbl 0688.90051Dinh The Luc 169 1989 Approximate Jacobian matrices for nonsmooth continuous maps and \(C^{1}\)-optimization. Zbl 0923.49012Jeyakumar, V.; Luc, D. T. 86 1998 Nonsmooth calculus, minimality, and monotonicity of convexificators. Zbl 0956.90033Jeyakumar, V.; Luc, D. T. 77 1999 Contingent derivatives of set-valued maps and applications to vector optimization. Zbl 0718.90080Dinh The Luc 64 1991 Stability of solutions in parametric variational relation problems. Zbl 1161.49023Khanh, P. Q.; Luc, D. T. 55 2008 An abstract problem in variational analysis. Zbl 1148.49009Luc, D. T. 54 2008 Approximate convex functions. Zbl 1033.49029Huynh Van Ngai; Dinh The Luc; Théra, Michel 49 2000 Nonsmooth vector functions and continuous optimization. Zbl 1138.90002Jeyakumar, V.; Dinh The Luc 48 2008 Existence of solutions in variational relation problems without convexity. Zbl 1183.49017Luc, Dinh The; Sarabi, Ebrahim; Soubeyran, Antoine 45 2010 Existence results for densely pseudomonotone variational inequalities. Zbl 0974.49006Dinh The Luc 42 2001 Characterisations of quasiconvex functions. Zbl 0790.49015Dinh The Luc 32 1993 Convergence of asymptotic directions. Zbl 0974.54003Dinh The Luc; Penot, Jean-Paul 32 2001 Connectedness of the efficient point sets in quasiconcave vector maximization. Zbl 0615.90087Dinh The Luc 28 1987 Scalarization of vector optimization problems. Zbl 0622.90083Dinh The Luc 28 1987 A saddlepoint theorem for set-valued maps. Zbl 0797.90120Dinh The Luc; Vargas, Cristóbal 26 1992 Existence conditions in variational inclusions with constraints. Zbl 1153.49305Luc, D. T.; Tan, N. X. 26 2004 A multiplier rule for multiobjective programming problems with continuous data. Zbl 1055.90063Dinh The Luc 25 2002 Robust aspects of solutions in deterministic multiple objective linear programming. Zbl 1317.90262Georgiev, Pando G.; Luc, Dinh The; Pardalos, Panos M. 25 2013 On duality theory in multiobjective programming. Zbl 0517.90076Dinh The Luc 24 1984 On mixed variational relation problems. Zbl 1205.49014Balaj, Mircea; Luc, Dinh The 23 2010 Optimality conditions for \(C^{1,1}\) vector optimization problems. Zbl 1038.49027Guerraggio, A.; Luc, D. T. 23 2001 \(\varepsilon\)-subdifferential and \(\varepsilon\)-monotonicity. Zbl 0945.49013Jofré, Alejandro; Luc, Dinh The; Théra, Michel 21 1998 Convergence of the efficient sets. Zbl 0803.49015Dinh The Luc; Lucchetti, R.; Maliverti, C. 19 1994 Optimality conditions for \(C^{1,1}\) constrained multiobjective problems. Zbl 1030.90115Guerraggio, A.; Luc, D. T. 18 2003 Invex optimization problems. Zbl 0755.90072Dinh The Luc; Malivert, C. 17 1992 Characterizations of generalized monotone nonsmooth continuous maps using approximate Jacobians. Zbl 0911.49014Jeyakumar, V.; Luc, D. T.; Schaible, S. 16 1998 Scalarizing functions for generating the weakly efficient solution set in convex multiobjective problems. Zbl 1114.90115Luc, Dinh The; Phong, Thai Quynh; Volle, Michel 15 2005 Convex vector functions and their subdifferential. Zbl 0906.49007Dinh The Luc; Nguyen Xuan Tan; Phan Nhat Tinh 15 1998 Recession maps and applications. Zbl 0823.46037Dinh The Luc 15 1993 On generalised convex nonsmooth functions 2. Zbl 0811.90096Dinh The Luc 14 1994 Multiobjective linear programming. An introduction. Zbl 1337.90057Dinh The Luc 14 2016 Contractibility of efficient point sets in normed spaces. Zbl 0718.90077Dinh The Luc 13 1990 Theory of vector optimization. Zbl 0654.90082Dinh The Luc 13 1988 Recession cones and the domination property in vector optimization. Zbl 0721.90065Dinh The Luc 12 1990 Generalized monotone nonsmooth maps. Zbl 0870.90091Dinh The Luc; Schaible, S. 12 1996 Second-order optimality conditions for \(C^1\) multiobjective programming problems. Zbl 1027.90079Guerraggio, A.; Luc, D. T.; Minh, N. B. 12 2001 Efficiency and generalized concavity. Zbl 0886.90121Luc, D. T.; Schaible, S. 11 1997 Normal cones to a polyhedral convex set and generating efficient faces in linear multiobjective programming. Zbl 0959.90042Nguyen thi Bach Kim; Dinh The Luc 11 2000 A characterization of convex functions. Zbl 0778.49020Dinh The Luc; Swaminathan, S. 10 1993 Existence conditions in general quasimonotone variational inequalities. Zbl 1095.49007Aussel, D.; Luc, D. T. 10 2005 Taylor’s formula for \(C^{k,1}\) functions. Zbl 0852.49012Dinh The Luc 10 1995 Differentiable selection of optimal solutions in parametric linear programming. Zbl 0861.90117Dinh The Luc; Pham Huy Dien 10 1997 Solution point characterizations and convergence analysis of a descent algorithm for nonsmooth continuous complementarity problems. Zbl 1064.90048Fischer, A.; Jeyakumar, V.; Luc, D. T. 10 2001 Local uniqueness of solutions of general variational inequalities. Zbl 1030.49005Luc, D. T.; Noor, M. A. 10 2003 Pareto optimality. Zbl 1191.49002Luc, Dinh The 10 2008 On the domination property in vector optimization. Zbl 0533.90081Dinh The Luc 9 1984 Axiomatic approach to duality in optimization. Zbl 0763.90075Dinh The Luc; Jahn, Johannes 9 1992 Recessively compact sets: properties and uses. Zbl 1046.54009Dinh The Luc 9 2002 The Fréchet approximate Jacobian and local uniqueness in variational inequalities. Zbl 1012.49009Dinh The Luc 9 2002 Second order optimality conditions for problems with continuously differentiable data. Zbl 1008.90070Dinh The Luc 9 2002 Variational relation problems: existence of solutions and fixed points of contraction mappings. Zbl 1296.49021Latif, Abdul; Luc, Dinh 9 2013 Structure of the efficient point set. Zbl 0596.49007Dinh The Luc 8 1985 An open mapping theorem using unbounded generalized Jacobians. Zbl 1035.49016Jeyakumar, V.; Luc, D. T. 8 2002 Derivatives with support and applications. Zbl 0813.49020Dinh The Luc; Théra, Michel 7 1994 Levels sets infimal convolution and level addition. Zbl 0892.90179Luc, D. T.; Volle, M. 7 1997 Extensions of Fréchet \(\varepsilon\)-subdifferential calculus and applications. Zbl 1029.49015Huynh Van Ngai; Dinh The Luc; Théra, M. 7 2002 Semi-differentiability of the marginal mapping in vector optimization. Zbl 1398.90155Luc, Dinh The; Soleimani-damaneh, Majid; Zamani, Moslem 7 2018 Local uniqueness of solutions for equilibrium problems. Zbl 1181.49010Phan Quoc Khanh; Dinh The Luc; Nguyen Dinh Tuan 7 2006 Theorems of the alternative and their applications in multiobjective optimization. Zbl 0576.90092Dinh The Luc 6 1985 Convex composite non-Lipschitz programming. Zbl 1019.90049Jeyakumar, V.; Luc, D. T.; Tinh, P. N. 6 2002 Generalized convexity in vector optimization. Zbl 1096.90032Dinh The Luc 6 2005 Maximal elements under reference-dependent preferences with applications to behavioral traps and games. Zbl 1257.91019Flores-Bazán, Fabián; Luc, Dinh The; Soubeyran, Antoine 6 2012 On sensitivity in linear multiobjective programming. Zbl 1168.90615Thuan, L. V.; Luc, D. T. 6 2000 Properly maximal points in product spaces. Zbl 1278.90356Guerraggio, Angelo; Luc, Dinh The 6 2006 Variable preference relations: existence of maximal elements. Zbl 1284.91350Luc, Dinh The; Soubeyran, Antoine 6 2013 On three concepts of quasiconvexity in vector optimization. Zbl 0723.90067Dinh The Luc 5 1990 Chain rules for approximate Jacobians of continuous functions. Zbl 1090.90199Dinh The Luc 5 2005 On \(\varepsilon\)-monotonicity and \(\varepsilon\)-convexity. Zbl 0965.49017Dinh The Luc; Huynh Van Ngai; Thera, M. 5 2000 Multi-product supply demand networks with elementary flows. Zbl 1228.90020Luc, Dinh The 5 2011 Least deviation decomposition with respect to a pair of convex sets. Zbl 0940.41019Luc, D. T.; Martínez-Legaz, J. E.; Seeger, A. 5 1999 On second-order conditions for nonsmooth problems with constraints. Zbl 1285.49015Dhara, Anulekha; Luc, Dinh The; Tinh, Phan Nhat 5 2012 Second-order asymptotic directions of unbounded sets with application to optimization. Zbl 1213.90227Hadjisavvas, Nicolas; Luc, Dinh The 5 2011 Generating the weakly efficient set of nonconvex multiobjective problems. Zbl 1152.90590Gourion, Daniel; Luc, Dinh The 5 2008 Equilibrium in a vector supply-demand network with capacity constraints. Zbl 1214.90020Luc, Dinh The; Rocca, Mateo; Papalia, Melanie 5 2011 On duality in multiple objective linear programming. Zbl 1219.90157Luc, Dinh The 5 2011 A new duality approach to solving concave vector maximization problems. Zbl 1120.90061Dinh The Luc; Tai Quynh Phong; Michel, Volle 4 2006 On the maximal monotonicity of subdifferentials. Zbl 0880.49020Dinh The Luc 4 1993 Duality for optimization problems with infinite sums. Zbl 1421.90140Luc, Dinh The; Volle, Michel 4 2019 Equilibrium in multi-criteria supply and demand networks with capacity constraints. Zbl 1319.90016Truong, Thi Thanh Phuong; Luc, Dinh The 4 2015 Equilibrium in multi-criteria transportation networks. Zbl 1338.90083Luc, Dinh The; Phuong, Truong Thi Thanh 4 2016 Order-preserving transformations and applications. Zbl 1036.90059Cambini, A.; Luc, D. T.; Martein, L. 4 2003 Finding efficient solutions by free disposal outer approximation. Zbl 1229.90177Gourion, Daniel; Luc, Dinh The 4 2010 On Nash equilibrium. I. Zbl 0516.90087Dinh The Luc 3 1982 Smooth representation of a parametric polyhedral convex set with application to sensitivity in optimization. Zbl 0861.52002Dinh The Luc 3 1997 On the properly efficient points of nonconvex sets. Zbl 0908.90227Dinh The Luc 3 1995 A strong mean value theorem and applications. Zbl 0855.49010Luc, Dinh The 3 1996 Normal cone method in solving linear multiobjective problems. Zbl 1079.90598Kim, Nguyen Thi Bach; Luc, Dinh The 3 2002 Convex interior mapping theorems for continuous nonsmooth functions and optimization. Zbl 1107.90446Jeyakumar, V.; Luc, D. T. 3 2002 A solution method for linear variational relation problems. Zbl 1330.90113Dhara, Anulekha; Luc, Dinh The 3 2014 A general fixed point theorem for multivalued mappings that are not necessarily contractions and applications. Zbl 1469.54143Latif, Abdul; Dinh The Luc 3 2014 Generalized monotone set valued maps and support bifunctions. Zbl 0893.47034Dinh The Luc 2 1996 On epsilon-stability in optimization. Zbl 1411.90271Dinh The Luc; Volle, Michel 2 2018 A unified concept of approximate and quasi efficient solutions and associated subdifferentials in multiobjective optimization. Zbl 1483.90153Huerga, L.; Jiménez, B.; Luc, D. T.; Novo, V. 1 2021 Duality for extended infinite monotropic optimization problems. Zbl 1478.90125Luc, Dinh The; Volle, Michel 1 2021 On Nash equilibrium. II. Zbl 0561.90101Dinh The Luc 1 1983 Random version of the theorems of the alternative. Zbl 0619.90081Dinh The Luc 1 1986 Convexity and closedness of sets with respect to cones. Zbl 0632.52002Dinh The Luc 1 1987 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 1 2005 Algebraic approach to duality in optimization and applications. Zbl 1479.90217Luc, Dinh The; Volle, Michel 1 2021 About duality and alternative in multi-objective optimization. Zbl 0597.90086Dinh The Luc 1 1987 A unified concept of approximate and quasi efficient solutions and associated subdifferentials in multiobjective optimization. Zbl 1483.90153Huerga, L.; Jiménez, B.; Luc, D. T.; Novo, V. 1 2021 Duality for extended infinite monotropic optimization problems. Zbl 1478.90125Luc, Dinh The; Volle, Michel 1 2021 Algebraic approach to duality in optimization and applications. Zbl 1479.90217Luc, Dinh The; Volle, Michel 1 2021 Duality for optimization problems with infinite sums. Zbl 1421.90140Luc, Dinh The; Volle, Michel 4 2019 Semi-differentiability of the marginal mapping in vector optimization. Zbl 1398.90155Luc, Dinh The; Soleimani-damaneh, Majid; Zamani, Moslem 7 2018 On epsilon-stability in optimization. Zbl 1411.90271Dinh The Luc; Volle, Michel 2 2018 Multiobjective linear programming. An introduction. Zbl 1337.90057Dinh The Luc 14 2016 Equilibrium in multi-criteria transportation networks. Zbl 1338.90083Luc, Dinh The; Phuong, Truong Thi Thanh 4 2016 Equilibrium in multi-criteria supply and demand networks with capacity constraints. Zbl 1319.90016Truong, Thi Thanh Phuong; Luc, Dinh The 4 2015 A solution method for linear variational relation problems. Zbl 1330.90113Dhara, Anulekha; Luc, Dinh The 3 2014 A general fixed point theorem for multivalued mappings that are not necessarily contractions and applications. Zbl 1469.54143Latif, Abdul; Dinh The Luc 3 2014 Robust aspects of solutions in deterministic multiple objective linear programming. Zbl 1317.90262Georgiev, Pando G.; Luc, Dinh The; Pardalos, Panos M. 25 2013 Variational relation problems: existence of solutions and fixed points of contraction mappings. Zbl 1296.49021Latif, Abdul; Luc, Dinh 9 2013 Variable preference relations: existence of maximal elements. Zbl 1284.91350Luc, Dinh The; Soubeyran, Antoine 6 2013 Maximal elements under reference-dependent preferences with applications to behavioral traps and games. Zbl 1257.91019Flores-Bazán, Fabián; Luc, Dinh The; Soubeyran, Antoine 6 2012 On second-order conditions for nonsmooth problems with constraints. Zbl 1285.49015Dhara, Anulekha; Luc, Dinh The; Tinh, Phan Nhat 5 2012 Multi-product supply demand networks with elementary flows. Zbl 1228.90020Luc, Dinh The 5 2011 Second-order asymptotic directions of unbounded sets with application to optimization. Zbl 1213.90227Hadjisavvas, Nicolas; Luc, Dinh The 5 2011 Equilibrium in a vector supply-demand network with capacity constraints. Zbl 1214.90020Luc, Dinh The; Rocca, Mateo; Papalia, Melanie 5 2011 On duality in multiple objective linear programming. Zbl 1219.90157Luc, Dinh The 5 2011 Existence of solutions in variational relation problems without convexity. Zbl 1183.49017Luc, Dinh The; Sarabi, Ebrahim; Soubeyran, Antoine 45 2010 On mixed variational relation problems. Zbl 1205.49014Balaj, Mircea; Luc, Dinh The 23 2010 Finding efficient solutions by free disposal outer approximation. Zbl 1229.90177Gourion, Daniel; Luc, Dinh The 4 2010 Stability of solutions in parametric variational relation problems. Zbl 1161.49023Khanh, P. Q.; Luc, D. T. 55 2008 An abstract problem in variational analysis. Zbl 1148.49009Luc, D. T. 54 2008 Nonsmooth vector functions and continuous optimization. Zbl 1138.90002Jeyakumar, V.; Dinh The Luc 48 2008 Pareto optimality. Zbl 1191.49002Luc, Dinh The 10 2008 Generating the weakly efficient set of nonconvex multiobjective problems. Zbl 1152.90590Gourion, Daniel; Luc, Dinh The 5 2008 Local uniqueness of solutions for equilibrium problems. Zbl 1181.49010Phan Quoc Khanh; Dinh The Luc; Nguyen Dinh Tuan 7 2006 Properly maximal points in product spaces. Zbl 1278.90356Guerraggio, Angelo; Luc, Dinh The 6 2006 A new duality approach to solving concave vector maximization problems. Zbl 1120.90061Dinh The Luc; Tai Quynh Phong; Michel, Volle 4 2006 Scalarizing functions for generating the weakly efficient solution set in convex multiobjective problems. Zbl 1114.90115Luc, Dinh The; Phong, Thai Quynh; Volle, Michel 15 2005 Existence conditions in general quasimonotone variational inequalities. Zbl 1095.49007Aussel, D.; Luc, D. T. 10 2005 Generalized convexity in vector optimization. Zbl 1096.90032Dinh The Luc 6 2005 Chain rules for approximate Jacobians of continuous functions. Zbl 1090.90199Dinh 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 1 2005 Existence conditions in variational inclusions with constraints. Zbl 1153.49305Luc, D. T.; Tan, N. X. 26 2004 Optimality conditions for \(C^{1,1}\) constrained multiobjective problems. Zbl 1030.90115Guerraggio, A.; Luc, D. T. 18 2003 Local uniqueness of solutions of general variational inequalities. Zbl 1030.49005Luc, D. T.; Noor, M. A. 10 2003 Order-preserving transformations and applications. Zbl 1036.90059Cambini, A.; Luc, D. T.; Martein, L. 4 2003 Sharp variational conditions for convex composite nonsmooth functions. Zbl 1032.49022Jeyakumar, V.; Luc, D. T. 1 2003 A multiplier rule for multiobjective programming problems with continuous data. Zbl 1055.90063Dinh The Luc 25 2002 Recessively compact sets: properties and uses. Zbl 1046.54009Dinh The Luc 9 2002 The Fréchet approximate Jacobian and local uniqueness in variational inequalities. Zbl 1012.49009Dinh The Luc 9 2002 Second order optimality conditions for problems with continuously differentiable data. Zbl 1008.90070Dinh The Luc 9 2002 An open mapping theorem using unbounded generalized Jacobians. Zbl 1035.49016Jeyakumar, V.; Luc, D. T. 8 2002 Extensions of Fréchet \(\varepsilon\)-subdifferential calculus and applications. Zbl 1029.49015Huynh Van Ngai; Dinh The Luc; Théra, M. 7 2002 Convex composite non-Lipschitz programming. Zbl 1019.90049Jeyakumar, V.; Luc, D. T.; Tinh, P. N. 6 2002 Normal cone method in solving linear multiobjective problems. Zbl 1079.90598Kim, Nguyen Thi Bach; Luc, Dinh The 3 2002 Convex interior mapping theorems for continuous nonsmooth functions and optimization. Zbl 1107.90446Jeyakumar, V.; Luc, D. T. 3 2002 Existence results for densely pseudomonotone variational inequalities. Zbl 0974.49006Dinh The Luc 42 2001 Convergence of asymptotic directions. Zbl 0974.54003Dinh The Luc; Penot, Jean-Paul 32 2001 Optimality conditions for \(C^{1,1}\) vector optimization problems. Zbl 1038.49027Guerraggio, A.; Luc, D. T. 23 2001 Second-order optimality conditions for \(C^1\) multiobjective programming problems. Zbl 1027.90079Guerraggio, A.; Luc, D. T.; Minh, N. B. 12 2001 Solution point characterizations and convergence analysis of a descent algorithm for nonsmooth continuous complementarity problems. Zbl 1064.90048Fischer, A.; Jeyakumar, V.; Luc, D. T. 10 2001 Approximate convex functions. Zbl 1033.49029Huynh Van Ngai; Dinh The Luc; Théra, Michel 49 2000 Normal cones to a polyhedral convex set and generating efficient faces in linear multiobjective programming. Zbl 0959.90042Nguyen thi Bach Kim; Dinh The Luc 11 2000 On sensitivity in linear multiobjective programming. Zbl 1168.90615Thuan, L. V.; Luc, D. T. 6 2000 On \(\varepsilon\)-monotonicity and \(\varepsilon\)-convexity. Zbl 0965.49017Dinh The Luc; Huynh Van Ngai; Thera, M. 5 2000 Nonsmooth calculus, minimality, and monotonicity of convexificators. Zbl 0956.90033Jeyakumar, V.; Luc, D. T. 77 1999 Least deviation decomposition with respect to a pair of convex sets. Zbl 0940.41019Luc, D. T.; Martínez-Legaz, J. E.; Seeger, A. 5 1999 Approximate Jacobian matrices for nonsmooth continuous maps and \(C^{1}\)-optimization. Zbl 0923.49012Jeyakumar, V.; Luc, D. T. 86 1998 \(\varepsilon\)-subdifferential and \(\varepsilon\)-monotonicity. Zbl 0945.49013Jofré, Alejandro; Luc, Dinh The; Théra, Michel 21 1998 Characterizations of generalized monotone nonsmooth continuous maps using approximate Jacobians. Zbl 0911.49014Jeyakumar, V.; Luc, D. T.; Schaible, S. 16 1998 Convex vector functions and their subdifferential. Zbl 0906.49007Dinh The Luc; Nguyen Xuan Tan; Phan Nhat Tinh 15 1998 Subdifferential characterization of quasiconvex and convex vector functions. Zbl 0928.49016Phan Nhat Tinh; Dinh The Luc; Nguyen Xuan Tan 1 1998 Efficiency and generalized concavity. Zbl 0886.90121Luc, D. T.; Schaible, S. 11 1997 Differentiable selection of optimal solutions in parametric linear programming. Zbl 0861.90117Dinh The Luc; Pham Huy Dien 10 1997 Levels sets infimal convolution and level addition. Zbl 0892.90179Luc, D. T.; Volle, M. 7 1997 Smooth representation of a parametric polyhedral convex set with application to sensitivity in optimization. Zbl 0861.52002Dinh The Luc 3 1997 Generalized monotone nonsmooth maps. Zbl 0870.90091Dinh The Luc; Schaible, S. 12 1996 A strong mean value theorem and applications. Zbl 0855.49010Luc, Dinh The 3 1996 Generalized monotone set valued maps and support bifunctions. Zbl 0893.47034Dinh The Luc 2 1996 Taylor’s formula for \(C^{k,1}\) functions. Zbl 0852.49012Dinh The Luc 10 1995 On the properly efficient points of nonconvex sets. Zbl 0908.90227Dinh The Luc 3 1995 Convergence of the efficient sets. Zbl 0803.49015Dinh The Luc; Lucchetti, R.; Maliverti, C. 19 1994 On generalised convex nonsmooth functions 2. Zbl 0811.90096Dinh The Luc 14 1994 Derivatives with support and applications. Zbl 0813.49020Dinh The Luc; Théra, Michel 7 1994 Characterisations of quasiconvex functions. Zbl 0790.49015Dinh The Luc 32 1993 Recession maps and applications. Zbl 0823.46037Dinh The Luc 15 1993 A characterization of convex functions. Zbl 0778.49020Dinh The Luc; Swaminathan, S. 10 1993 On the maximal monotonicity of subdifferentials. Zbl 0880.49020Dinh The Luc 4 1993 A saddlepoint theorem for set-valued maps. Zbl 0797.90120Dinh The Luc; Vargas, Cristóbal 26 1992 Invex optimization problems. Zbl 0755.90072Dinh The Luc; Malivert, C. 17 1992 Axiomatic approach to duality in optimization. Zbl 0763.90075Dinh The Luc; Jahn, Johannes 9 1992 Contingent derivatives of set-valued maps and applications to vector optimization. Zbl 0718.90080Dinh The Luc 64 1991 Contractibility of efficient point sets in normed spaces. Zbl 0718.90077Dinh The Luc 13 1990 Recession cones and the domination property in vector optimization. Zbl 0721.90065Dinh The Luc 12 1990 On three concepts of quasiconvexity in vector optimization. Zbl 0723.90067Dinh The Luc 5 1990 Continuity properties of cone-convex functions. Zbl 0819.90071Dinh The Luc 1 1990 An existence theorem in vector optimization. Zbl 0688.90051Dinh The Luc 169 1989 Theory of vector optimization. Zbl 0654.90082Dinh The Luc 13 1988 Connectedness of the efficient point sets in quasiconcave vector maximization. Zbl 0615.90087Dinh The Luc 28 1987 Scalarization of vector optimization problems. Zbl 0622.90083Dinh The Luc 28 1987 Convexity and closedness of sets with respect to cones. Zbl 0632.52002Dinh The Luc 1 1987 About duality and alternative in multi-objective optimization. Zbl 0597.90086Dinh The Luc 1 1987 Random version of the theorems of the alternative. Zbl 0619.90081Dinh The Luc 1 1986 Structure of the efficient point set. Zbl 0596.49007Dinh The Luc 8 1985 Theorems of the alternative and their applications in multiobjective optimization. Zbl 0576.90092Dinh The Luc 6 1985 On duality theory in multiobjective programming. Zbl 0517.90076Dinh The Luc 24 1984 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 852 Authors 62 Dinh The Luc 36 Phan Quôc Khánh 25 Li, Shengjie 20 Lin, Lai-Jiu 20 Penot, Jean-Paul 19 Pham Huu Sach 17 Gadhi, Nazih Abderrazzak 14 Soleimani-damaneh, Majid 13 Huang, Nan-Jing 13 Jeyakumar, Vaithilingam 13 Lee, Gue Myung 13 Nobakhtian, Soghra 13 Novo-Sanjurjo, Vicente 13 Su, Tran Van 12 Lalitha, C. S. 12 Yang, Xiaoqi 12 Yao, Jen-Chih 11 Balaj, Mircea 11 Hadjisavvas, Nicolas 11 Mishra, Shashi Kant 11 Rodriguez Marin, Luis 10 Do Van Luu 10 Lara, Felipe 10 Le Anh Tuan 10 Soubeyran, Antoine 10 Yang, Xinmin 9 Ansari, Qamrul Hasan 9 Daniilidis, Aris 9 Dempe, Stephan 9 Flores-Bazán, Fabián 9 Ginchev, Ivan G. 9 Gutiérrez, César 9 Hernández, Elvira 9 Mordukhovich, Boris S. 8 Anh, Lam Quoc 8 Huy, Nguyen Quang 8 Ivanov, Vsevolod Ivanov 8 Kim, Do Sang 8 Lafhim, Lahoussine 8 László, Csaba Szilárd 8 Rocca, Matteo 8 Teo, Kok Lay 8 Zafarani, Jafar 7 Anh, Nguyen Le Hoang 7 Crespi, Giovanni Paolo 7 Eichfelder, Gabriele 7 Fang, Yaping 7 Farajzadeh, Ali P. 7 Gong, Xunhua 7 Hamel, Andreas H. 7 Jiménez, Bienvenido 7 Kabgani, Alireza 7 Li, Guoyin 7 Miglierina, Enrico 7 Noor, Muhammad Aslam 7 Pastor, Karel 7 Quan, Nguyen Hong 7 Thai Doan Chuong 7 Truong Xuan Duc Ha 7 Yang, Zhe 6 Aussel, Didier 6 Guerraggio, Angelo 6 Jahn, Johannes 6 Kohli, Bhawna 6 Löhne, Andreas 6 Movahedian, Nooshin 6 Oliveira, Paulo Roberto 6 Taa, Ahmed 6 Tanaka, Tamaki 6 Théra, Michel A. 6 Tuan, Nguyen Dinh 6 Tung, Le Thanh 6 Võ Sĩ Trọng Long 6 Volle, Michel 6 Wang, Qilin 6 Yu, Guolin 6 Zheng, Xiyin 6 Zhu, Shengkun 5 Chadli, Ouayl 5 Ding, Xie Ping 5 Dutta, Joydeep 5 El Idrissi, Mohammed 5 Epstein, Leah 5 Fakhar, Majid 5 Golestani, Mohammad 5 Graña Drummond, L. M. 5 Han, Yu 5 Hang, Dinh Dieu 5 Huynh Van Ngai 5 Kuroiwa, Daishi 5 Martínez-Legaz, Juan-Enrique 5 Molho, Elena 5 Nahak, Chandal 5 Nguyen Ba Minh 5 Nguyen Xuan Tan 5 O’Regan, Donal 5 Peng, Jianwen 5 Popovici, Nicolae 5 Sama, Miguel 5 Schaible, Siegfried ...and 752 more Authors all top 5 Cited in 140 Serials 176 Journal of Optimization Theory and Applications 103 Optimization 98 Journal of Global Optimization 54 Journal of Mathematical Analysis and Applications 46 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Optimization Letters 27 Mathematical Programming. Series A. Series B 27 Positivity 25 Numerical Functional Analysis and Optimization 22 Set-Valued and Variational Analysis 15 SIAM Journal on Optimization 14 European Journal of Operational Research 14 Mathematical Methods of Operations Research 12 Applied Mathematics Letters 11 Applicable Analysis 11 Journal of Inequalities and Applications 11 Fixed Point Theory and Applications 10 Computational Optimization and Applications 10 Journal of Industrial and Management Optimization 9 Applied Mathematics and Computation 9 Journal of Applied Mathematics 8 Computers & Mathematics with Applications 8 Acta Mathematica Vietnamica 8 Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 Set-Valued Analysis 8 Abstract and Applied Analysis 7 Annals of Operations Research 7 Computational and Applied Mathematics 7 Top 7 RAIRO. Operations Research 6 Operations Research Letters 6 Applied Mathematics and Mechanics. (English Edition) 6 Journal of Convex Analysis 6 Nonlinear Analysis. Theory, Methods & Applications 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Bulletin of the Australian Mathematical Society 4 Journal of Computational and Applied Mathematics 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Topology and its Applications 4 Bulletin of the Iranian Mathematical Society 4 Filomat 4 Journal of Fixed Point Theory and Applications 4 Journal of Nonlinear and Variational Analysis 3 Applied Mathematics and Optimization 3 Kybernetika 3 Opsearch 3 Acta Mathematica Hungarica 3 Applications of Mathematics 3 Optimization Methods & Software 3 Taiwanese Journal of Mathematics 3 Journal of Systems Science and Complexity 3 4OR 3 Mediterranean Journal of Mathematics 2 Mathematical Notes 2 Fuzzy Sets and Systems 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Information & Optimization Sciences 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Asia-Pacific Journal of Operational Research 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 Journal of Applied Mathematics and Computing 2 Bulletin of the Brazilian Mathematical Society. New Series 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 S\(\vec{\text{e}}\)MA Journal 1 International Journal of Modern Physics B 1 Archiv der Mathematik 1 Information Sciences 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Journal of Mathematical Economics 1 Le Matematiche 1 Mathematische Nachrichten 1 Mathematics of Operations Research 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Theoretical Computer Science 1 Theory and Decision 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Algorithmica 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Numerical Algorithms 1 YUJOR. Yugoslav Journal of Operations Research ...and 40 more Serials all top 5 Cited in 32 Fields 760 Operations research, mathematical programming (90-XX) 499 Calculus of variations and optimal control; optimization (49-XX) 156 Operator theory (47-XX) 106 Real functions (26-XX) 68 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 55 Numerical analysis (65-XX) 48 General topology (54-XX) 41 Functional analysis (46-XX) 36 Global analysis, analysis on manifolds (58-XX) 24 Convex and discrete geometry (52-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Ordinary differential equations (34-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Partial differential equations (35-XX) 3 Difference and functional equations (39-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year