Edit Profile (opens in new tab) Nguyen Dong Yen Co-Author Distance Author ID: yen.nguyen-dong Published as: Yen, N. D.; Yen, Nguyen Dong; Nguyen Dong Yen; Yen Nguyen Dong more...less Homepage: http://math.ac.vn/en/component/staff/?task=getProfile%5C&staffID=76 External Links: MGP · dblp Documents Indexed: 137 Publications since 1985, including 1 Book and 6 Additional arXiv Preprints 6 Contributions as Editor Co-Authors: 77 Co-Authors with 131 Joint Publications 2,377 Co-Co-Authors all top 5 Co-Authors 12 single-authored 34 Yao, Jen-Chih 20 Lee, Gue Myung 11 Huong, Nguyen Thi Thu 11 Tam, Nguyen Nang 9 Nam, Nguyen Mau 8 Kim, Do Sang 6 Huong, Vu Thi 5 Cuong, Tran Hung 5 Hoa, Tran Ninh 5 Pham Huu Sach 4 Chieu, Nguyen Huy 4 Huy, Nguyen Quang 4 Luan, Nguyen Ngoc 4 Pham Huy Dien 3 An, D. T. V. 3 Huyen, Duong Thi Kim 3 Lee, Byung Soo 3 Oettli, Werner 3 Pham Dinh Tao 3 Ta Duy Phuong 3 Thieu, Nguyen Nang 2 Craven, Bruce Desmond 2 Duong Thi Kim Huyen 2 Khanh, Pham Duy 2 Kien, Bui Trong 2 Le Thi, Hoai An 2 Mordukhovich, Boris S. 2 Nguyen Nang Tam 2 Nguyen Nang Thieu 2 Nguyen Ngoc Luan 2 Nguyen Quang Huy 2 Qui, Nguyen Thanh 2 Nguyen Khoa Son 2 Thai Doan Chuong 2 Viet An, Duong Thi 2 Yang, Xiaoqi 1 Adly, Samir 1 An, Nguyen Thai 1 Bednarczuk, Ewa M. 1 Cubiotti, Paolo 1 Dinh The Luc 1 Durea, Marius 1 Hoang Ngoc Tuan 1 Hoàng Xuân Phù 1 Hung, Nguyen Xuan 1 Jeyakumar, Vaithilingam 1 Khan, Akhtar Ali 1 Kim, Bui Trong 1 Köbis, Elisabeth 1 Kruger, Alexander Y. 1 Lau, Anthony To-Ming 1 Lê Dung Muu 1 Lim, Yongdo 1 Martínez-Legaz, Juan-Enrique 1 Mastroeni, Giandomenico 1 Mishra, Shashi Kant 1 Muoi, Bui Ngoc 1 Ngoc Tuan, Hoang 1 Nguyen Thi Van Hang 1 Pappalardo, Massimo 1 Pardalos, Panos M. 1 Phan Quôc Khánh 1 Phuong Ta Duy 1 Quang, Pham Hong 1 Rockafellar, Ralph Tyrrell 1 Sandine, Gary 1 Takahashi, Wataru 1 Tammer, Christiane 1 Tanaka, Tamaki 1 Thien, N. V. 1 Trinh Cong Dieu 1 Tuyen, Nguyen Van 1 van Hang, Nguyen Thi 1 Wen, Chingfeng 1 Xu, Hong-Kun 1 Yongdo, Lim 1 Zhao, Xiaopeng all top 5 Serials 25 Journal of Optimization Theory and Applications 10 Optimization 10 Journal of Global Optimization 9 Journal of Nonlinear and Convex Analysis 8 Acta Mathematica Vietnamica 7 Vietnam Journal of Mathematics 6 SIAM Journal on Optimization 5 Applied Mathematics and Optimization 4 Applicable Analysis 4 Journal of Mathematical Analysis and Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Numerical Functional Analysis and Optimization 3 Mathematical Programming. Series A. Series B 3 Set-Valued Analysis 3 Taiwanese Journal of Mathematics 3 Nonlinear Analysis Forum 2 Pacific Journal of Optimization 2 Optimization Letters 2 Set-Valued and Variational Analysis 1 Bulletin of the Australian Mathematical Society 1 Archiv der Mathematik 1 Mathematics of Operations Research 1 Journal of Convex Analysis 1 International Journal of Mathematics, Game Theory and Algebra 1 Journal of Industrial and Management Optimization 1 Nonconvex Optimization and Its Applications 1 Nonlinear Analysis. Theory, Methods & Applications 1 Linear and Nonlinear Analysis 1 Journal of Nonlinear and Variational Analysis 1 Applied Analysis and Optimization all top 5 Fields 94 Operations research, mathematical programming (90-XX) 91 Calculus of variations and optimal control; optimization (49-XX) 15 Operator theory (47-XX) 10 Real functions (26-XX) 8 Functional analysis (46-XX) 7 General and overarching topics; collections (00-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 General topology (54-XX) 5 Numerical analysis (65-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 1,248 times in 749 Documents Cited by ▼ Year ▼ Vector variational inequality as a tool for studying vector optimization problems. Zbl 0956.49007 Lee, Gue Myung; Kim, Do Sang; Lee, Byung Soo; Yen, Nguyen Dong 94 1998 Subgradients of marginal functions in parametric mathematical programming. Zbl 1177.90377 Mordukhovich, B. S.; Nam, N. M.; Yen, N. D. 85 2009 Hölder continuity of solutions to a parametric variational inequality. Zbl 0821.49011 Nguyen Dong Yen 78 1995 Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming. Zbl 1121.49017 Mordukhovich, B. S.; Nam, N. M.; Yen, N. D. 76 2006 Lipschitz continuity of solutions of variational inequalities with a parametric polyhedral constraint. Zbl 0845.90116 Yen, N. D. 48 1995 Quadratic programming and affine variational inequalities. A qualitative study. Zbl 1092.90033 Lee, Gue Myung; Tam, Nguyen Nang; Yen, Nguyen Dong 44 2005 Qualitative properties of the minimum sum-of-squares clustering problem. Zbl 1444.68155 Cuong, Tran Hung; Yao, Jen-Chih; Yen, Nguyen Dong 31 2020 Solution sensitivity of a class of variational inequalities. Zbl 0906.49002 Nguyen Dong Yen; Lee, Gue Myung 28 1997 Solution methods for pseudomonotone variational inequalities. Zbl 1302.49015 Tam, N. N.; Yao, J. C.; Yen, N. D. 28 2008 On implicit function theorems for set-valued maps and their application to mathematical programming under inclusion constraints. Zbl 0742.90086 Dien, Pham Huy; Yen, Nguyen Dong 27 1991 On the solution existence of pseudomonotone variational inequalities. Zbl 1149.49011 Kien, B. T.; Yao, J.-C.; Yen, N. D. 23 2008 Stability of the solution set of perturbed nonsmooth inequality systems and application. Zbl 0901.90168 Yen, N. D. 20 1997 Coderivative calculations related to a parametric affine variational inequality. I: Basic calculations. Zbl 1176.49032 Yao, J.-C.; Yen, N. D. 20 2009 Normal coderivative for multifunctions and implicit function theorems. Zbl 1140.49013 Lee, G. M.; Tam, N. N.; Yen, N. D. 19 2008 Covering properties at positive-order rates of multifunctions and some related topics. Zbl 1137.47038 Yen, N. D.; Yao, J.-C.; Kien, B. T. 19 2008 Solution stability of nonsmooth continuous systems with applications to cone-constrained optimization. Zbl 1058.49013 Jeyakumar, V.; Yen, N. D. 19 2004 Coderivative calculation related to a parametric affine variational inequality. II: Applications. Zbl 1173.49023 Yao, J.-C.; Yen, N. D. 18 2009 Differential stability of convex optimization problems under inclusion constraints. Zbl 1309.49014 An, D. T. V.; Yen, N. D. 18 2015 Monotone affine vector variational inequalities. Zbl 1237.90231 Yen, N. D.; Yao, J.-C. 16 2011 Point-based sufficient conditions for metric regularity of implicit multifunctions. Zbl 1156.49014 Yen, N. D.; Yao, J.-C. 16 2009 Strict lower semicontinuity of the level sets and invexity of a locally Lipschitz function. Zbl 0840.90119 Phuong, T. D.; Sach, P. H.; Yen, N. D. 15 1995 Structure and weak sharp minimum of the Pareto solution set for piecewise linear multiobjective optimization. Zbl 1213.90225 Yang, X. Q.; Yen, N. D. 15 2010 Coderivatives of a Karush-Kuhn-Tucker point set map and applications. Zbl 1282.90187 Lee, G. M.; Yen, N. D. 14 2014 Properties of two DC algorithms in quadratic programming. Zbl 1213.90189 Le Thi, Hoai An; Pham Dinh, Tao; Yen, Nguyen Dong 13 2011 A result on vector variational inequalities with polyhedral constraint sets. Zbl 1001.90061 Lee, G. M.; Yen, N. D. 13 2001 Characterizing convexity of a function by its Fréchet and limiting second-order subdifferentials. Zbl 1209.49031 Chieu, N. H.; Chuong, T. D.; Yao, J.-C.; Yen, N. D. 12 2011 Relationships between Robinson metric regularity and Lipschitz-like behavior of implicit multifunctions. Zbl 1186.49015 Chieu, N. H.; Yao, J.-C.; Yen, N. D. 12 2010 Linear fractional vector optimization problems with many components in the solution sets. Zbl 1127.90406 Hoa, Tran Ninh; Phuong Ta Duy; Nguyen Dong Yen 12 2005 Image of a parametric optimization problem and continuity of the perturbation function. Zbl 0807.90110 Mastroeni, G.; Pappalardo, M.; Yen, N. D. 12 1994 Solution existence and stability of quadratically constrained convex quadratic programs. Zbl 1262.90120 Kim, D. S.; Tam, N. N.; Yen, N. D. 12 2012 Continuity of the solution map in quadratic programs under linear perturbations. Zbl 1278.90292 Lee, G. M.; Tam, N. N.; Yen, N. D. 11 2006 Implicit function theorems for set-valued maps. Zbl 0687.46030 Nguyen Dong Yen 11 1987 Quasicomplementarity problems of type \(R_ 0\). Zbl 0851.90121 Oettli, W.; Yen, N. D. 11 1996 On the optimal value function of a linearly perturbed quadratic program. Zbl 1079.90135 Lee, G. M.; Tam, N. N.; Yen, N. D. 11 2005 Continuity properties of the Karush-Kuhn-Tucker point set in quadratic programming problems. Zbl 0956.90023 Nguyen Nang Tam; Nguyen Dong Yen 11 1999 Fréchet and normal coderivatives of implicit multifunctions. Zbl 1225.49022 Lee, G. M.; Yen, N. D. 11 2011 Coderivatives and the solution map of a linear constraint system. Zbl 1337.49024 Duong Thi Kim Huyen; Yen, Nguyen Dong 11 2016 Connectedness structure of the solution sets of vector variational inequalities. Zbl 1401.90221 Huong, N. T. T.; Yao, J.-C.; Yen, N. D. 11 2017 Unbounded components in the solution sets of strictly quasiconcave vector maximization problems. Zbl 1278.90394 Hoa, Tran Ninh; Huy, N. Q.; Ta Duy Phuong; Nguyen Dong Yen 10 2007 Linear fractional and convex quadratic vector optimization problems. Zbl 1348.90575 Nguyen Dong Yen 10 2012 Behavior of DCA sequences for solving the trust-region subproblem. Zbl 1259.65092 Le Thi, Hoai An; Pham Dinh, Tao; Yen, Nguyen Dong 10 2012 Connectedness and stability of the solution sets in linear fractional vector optimization problems. Zbl 0995.90088 Nguyen Dong Yen; Ta Duy Phuong 10 2000 Generalized invexity and duality theories with multifunctions. Zbl 0808.90129 Sach, P. H.; Yen, N. D.; Craven, B. D. 10 1994 Stability of linear-quadratic minimization over Euclidean balls. Zbl 1268.90039 Lee, G. M.; Tam, N. N.; Yen, N. D. 10 2012 Continuity of the solution map in parametric affine variational inequalities. Zbl 1119.49010 Lee, Gue Myung; Tam, Nguyen Nang; Yen, Nguyen Dong 9 2007 On an existence theorem for generalized quasi-variational inequalities. Zbl 0822.49006 Nguyen Dong Yen 9 1995 Minimax variational inequalities. Zbl 1238.49013 Huy, Nguyen Quang; Yen, Nguyen Dong 9 2011 On monotone and strongly monotone vector variational inequalities. Zbl 0993.49013 Yen, Nguyen Dong; Lee, Gue Myung 9 2000 On locally Lipschitz vector-valued invex functions. Zbl 0786.90054 Yen, N. D.; Sach, P. H. 9 1993 Polynomial vector variational inequalities under polynomial constraints and applications. Zbl 1338.90399 Huong, N. T. T.; Yao, J.-C.; Yen, N. D. 9 2016 Convergence of Pham Dinh-Le Thi’s algorithm for the trust-region subproblem. Zbl 1287.90046 Tuan, Hoang Ngoc; Yen, Nguyen Dong 9 2013 A result related to Ricceri’s conjecture on generalized quasi-variational inequalities. Zbl 0907.49004 Cubiotti, Paolo; Nguyen Dong Yen 8 1997 Further results on the lower semicontinuity of efficient point multifunctions. Zbl 1357.49098 Chuong, T. D.; Yao, J.-C.; Yen, N. D. 7 2010 On the stability of solutions to quadratic programming problems. Zbl 0988.90042 Phu, H. X.; Yen, N. D. 7 2001 Second-order subdifferentials and optimality conditions for \(C^1\)-smooth optimization problems. Zbl 1484.49033 Chieu, N. H.; Lee, G. M.; Yen, N. D. 7 2017 A class of linear generalized equations. Zbl 1291.49015 Qui, Nguyen Thanh; Yen, Nguyen Dong 7 2014 A representation of generalized convex polyhedra and applications. Zbl 1434.90181 Luan, Nguyen Ngoc; Yen, Nguyen Dong 7 2020 Affine variational inequalities on normed spaces. Zbl 1400.49010 Yen, Nguyen Dong; Yang, Xiaoqi 7 2018 On the parametric affine variational inequality approach to linear fractional vector optimization problems. Zbl 1194.90080 Hoa, T. N.; Phuong, T. D.; Yen, N. D. 6 2005 Continuity of the solution set of homogeneous equilibrium problems and linear complementarity problems. Zbl 0849.90116 Oettli, Werner; Yen Nguyen Dong 6 1995 A property of bicriteria affine vector variational inequalities. Zbl 1253.49004 Huong, N. T. T.; Hoa, T. N.; Phuong, T. D.; Yen, N. D. 6 2012 Geoffrion’s proper efficiency in linear fractional vector optimization with unbounded constraint sets. Zbl 1465.90091 Huong, N. T. T.; Yao, J.-C.; Yen, N. D. 6 2020 On local controllability of nondifferentiable discrete-time system with nonconvex constraints on controls. Zbl 0685.93008 Nguyen Dong Yen; Trinh Cong Dieu 5 1989 On a class of discontinuous vector-valued functions and the associated quasi-variational inequalities. Zbl 0815.49009 Nguyen Dong Yen 5 1994 New proof of a theorem of F. Giannessi. Zbl 0697.49022 Quang, P. H.; Yen, N. D. 5 1991 Duality gap function in infinite dimensional linear programming. Zbl 1344.90071 Vinh, N. T.; Kim, D. S.; Tam, N. N.; Yen, N. D. 5 2016 Sensitivity analysis of a stationary point set map under total perturbations. I: Lipschitzian stability. Zbl 1409.49024 Huyen, Duong Thi Kim; Yao, Jen-Chih; Yen, Nguyen Dong 5 2019 An introduction to vector variational inequalities and some new results. Zbl 1346.90772 Yen, Nguyen Dong 5 2016 Parametric variational system with a smooth-boundary constraint set. Zbl 1215.49019 Yao, J.-C.; Yen, N. D. 4 2010 On \(G\)-semidifferentiable functions in Euclidean spaces. Zbl 0831.90108 Yen, N. D. 4 1995 A new class of invex multifunctions. Zbl 1050.49522 Craven, B. D.; Sach, P. H.; Yen, N. D.; Phuong, T. D. 4 1992 Convexity criteria for set-valued maps. Zbl 0882.26014 Pham Huu Sach; Nguyen Dong Yen 4 1997 The Pascoletti-Serafini scalarization scheme and linear vector optimization. Zbl 1307.90161 Huong, N. T. T.; Yen, N. D. 4 2014 The Borwein proper efficiency in linear fractional vector optimization. Zbl 1473.90152 Huong, Nguyen Thi Thu; Luan, Nguyen Ngoc; Yen, Nguyen Dong; Zhao, Xiaopeng 4 2019 Sensitivity analysis of a stationary point set map under total perturbations. II: Robinson stability. Zbl 1409.49025 Huyen, Duong Thi Kim; Yao, Jen-Chih; Yen, Nguyen Dong 4 2019 On the concept of generalized order optimality. Zbl 1269.90102 Tuyen, N. V.; Yen, N. D. 3 2012 Vector variational inequality as a tool for studying vector optimization problems. Zbl 1018.90053 Lee, Gue Myung; Kim, Do Sang; Lee, Byung Soo; Yen, Nguyen Dong 3 2000 Remarks on a conjecture of J. Benoist. Zbl 1069.90090 Nguyen Quang Huy; Nguyen Dong Yen 3 2004 On the problem of minimizing a difference of polyhedral convex functions under linear constraints. Zbl 1349.49019 Nguyen Thi Van Hang; Nguyen Dong Yen 3 2016 New results on proper efficiency for a class of vector optimization problems. Zbl 1480.90235 Huong, N. T. T.; Yao, J.-C.; Yen, N. D. 3 2021 Multivalued Tikhonov trajectories of general affine variational inequalities. Zbl 1272.90098 Huong, N. T. T.; Khanh, P. D.; Yen, N. D. 3 2013 Differential stability of a class of convex optimal control problems. Zbl 1466.49001 An, D. T. V.; Yao, J.-C.; Yen, N. D. 3 2020 Optimality conditions based on the Fréchet second-order subdifferential. Zbl 1484.90136 An, D. T. V.; Yen, N. D. 3 2021 Contractibility of the solution sets in strictly quasiconcave vector maximization on noncompact domains. Zbl 1090.90172 Huy, N. Q.; Yen, N. D. 2 2005 Optimal processes in a parametric optimal economic growth model. Zbl 1460.91141 Huong, Vu Thi; Yao, Jen-Chih; Yen, Nguyen Dong 2 2020 Analyzing a maximum principle for finite horizon state constrained problems via parametric examples. I: Problems with unilateral state constraints. Zbl 1462.49044 Huong, Vu Thi; Yao, Jen-Chih; Yen, Nguyen Dong 2 2020 Subdifferential stability analysis for convex optimization problems via multiplier sets. Zbl 1391.49005 An, Duong Thi Viet; Yen, Nguyen Dong 2 2018 Lower semicontinuity of the KKT point set in quadratic programs under linear perturbations. Zbl 1151.90031 Lee, G. M.; Tam, N. N.; Yen, N. D. 1 2006 Relationships between approximate Jacobians and coderivatives. Zbl 1127.49013 Nam, N. M.; Yen, N. D. 1 2007 A mean value theorem for semidifferentiable functions. Zbl 0896.49010 Nguyen Dong Yen 1 1995 Bicriteria strictly quasiconcave maximization on noncompact sets. Zbl 1163.90733 Hoa, T. N.; Phuong, T. D.; Yen, N. D. 1 2005 A remark on Clarke’s tangent cone. Zbl 0611.47041 Pham Huy Dien; Nguyen Dong Yen 1 1985 Local controllability for Lipschitzian discrete-time systems. Zbl 0616.93009 Nguyen Dong Yen 1 1986 On differential estimations for marginal functions in mathematical programming problems with inclusion. Zbl 0706.49013 Nguyen Dong Yen; Pham Huy Dien 1 1990 Correction: On implicit function theorems for set-valued maps and their application to mathematical programming under inclusion constraints. Zbl 0762.90088 Dien, P. H.; Yen, N. D. 1 1992 On the stability and solution sensitivity of a consumer problem. Zbl 1380.91096 Huong, Vu Thi; Yao, Jen-Chih; Yen, Nguyen Dong 1 2017 Optimality conditions and stability analysis via the Mordukhovich subdifferential. Zbl 1314.49013 van Hang, Nguyen Thi; Yen, Nguyen Dong 1 2015 The Mordukhovich subdifferentials and directions of descent. Zbl 1368.49012 Khanh, P. D.; Yao, J.-C.; Yen, N. D. 1 2017 A D.C. algorithm via convex analysis approach for solving a location problem involving sets. Zbl 1342.49049 An, Nguyen Thai; Nam, Nguyen Mau; Yen, Nguyen Dong 1 2016 Some remarks on the elliptic regularization method. Zbl 1009.47065 Yen, Nguyen Dong; Lee, Gue Myung 1 2000 New results on proper efficiency for a class of vector optimization problems. Zbl 1480.90235 Huong, N. T. T.; Yao, J.-C.; Yen, N. D. 3 2021 Optimality conditions based on the Fréchet second-order subdifferential. Zbl 1484.90136 An, D. T. V.; Yen, N. D. 3 2021 Optimal economic growth models with nonlinear utility functions. Zbl 1466.91189 Huong, Vu Thi; Yao, Jen-Chih; Yen, Nguyen Dong 1 2021 Qualitative properties of the minimum sum-of-squares clustering problem. Zbl 1444.68155 Cuong, Tran Hung; Yao, Jen-Chih; Yen, Nguyen Dong 31 2020 A representation of generalized convex polyhedra and applications. Zbl 1434.90181 Luan, Nguyen Ngoc; Yen, Nguyen Dong 7 2020 Geoffrion’s proper efficiency in linear fractional vector optimization with unbounded constraint sets. Zbl 1465.90091 Huong, N. T. T.; Yao, J.-C.; Yen, N. D. 6 2020 Differential stability of a class of convex optimal control problems. Zbl 1466.49001 An, D. T. V.; Yao, J.-C.; Yen, N. D. 3 2020 Optimal processes in a parametric optimal economic growth model. Zbl 1460.91141 Huong, Vu Thi; Yao, Jen-Chih; Yen, Nguyen Dong 2 2020 Analyzing a maximum principle for finite horizon state constrained problems via parametric examples. I: Problems with unilateral state constraints. Zbl 1462.49044 Huong, Vu Thi; Yao, Jen-Chih; Yen, Nguyen Dong 2 2020 Sensitivity analysis of a stationary point set map under total perturbations. I: Lipschitzian stability. Zbl 1409.49024 Huyen, Duong Thi Kim; Yao, Jen-Chih; Yen, Nguyen Dong 5 2019 The Borwein proper efficiency in linear fractional vector optimization. Zbl 1473.90152 Huong, Nguyen Thi Thu; Luan, Nguyen Ngoc; Yen, Nguyen Dong; Zhao, Xiaopeng 4 2019 Sensitivity analysis of a stationary point set map under total perturbations. II: Robinson stability. Zbl 1409.49025 Huyen, Duong Thi Kim; Yao, Jen-Chih; Yen, Nguyen Dong 4 2019 Affine variational inequalities on normed spaces. Zbl 1400.49010 Yen, Nguyen Dong; Yang, Xiaoqi 7 2018 Subdifferential stability analysis for convex optimization problems via multiplier sets. Zbl 1391.49005 An, Duong Thi Viet; Yen, Nguyen Dong 2 2018 Differentiability properties of a parametric consumer problem. Zbl 1454.91123 Huong, Vu Thi; Yao, Jen-Chih; Yen, Nguyen Dong 1 2018 Connectedness structure of the solution sets of vector variational inequalities. Zbl 1401.90221 Huong, N. T. T.; Yao, J.-C.; Yen, N. D. 11 2017 Second-order subdifferentials and optimality conditions for \(C^1\)-smooth optimization problems. Zbl 1484.49033 Chieu, N. H.; Lee, G. M.; Yen, N. D. 7 2017 On the stability and solution sensitivity of a consumer problem. Zbl 1380.91096 Huong, Vu Thi; Yao, Jen-Chih; Yen, Nguyen Dong 1 2017 The Mordukhovich subdifferentials and directions of descent. Zbl 1368.49012 Khanh, P. D.; Yao, J.-C.; Yen, N. D. 1 2017 Coderivatives and the solution map of a linear constraint system. Zbl 1337.49024 Duong Thi Kim Huyen; Yen, Nguyen Dong 11 2016 Polynomial vector variational inequalities under polynomial constraints and applications. Zbl 1338.90399 Huong, N. T. T.; Yao, J.-C.; Yen, N. D. 9 2016 Duality gap function in infinite dimensional linear programming. Zbl 1344.90071 Vinh, N. T.; Kim, D. S.; Tam, N. N.; Yen, N. D. 5 2016 An introduction to vector variational inequalities and some new results. Zbl 1346.90772 Yen, Nguyen Dong 5 2016 On the problem of minimizing a difference of polyhedral convex functions under linear constraints. Zbl 1349.49019 Nguyen Thi Van Hang; Nguyen Dong Yen 3 2016 A D.C. algorithm via convex analysis approach for solving a location problem involving sets. Zbl 1342.49049 An, Nguyen Thai; Nam, Nguyen Mau; Yen, Nguyen Dong 1 2016 Differential stability of convex optimization problems under inclusion constraints. Zbl 1309.49014 An, D. T. V.; Yen, N. D. 18 2015 Optimality conditions and stability analysis via the Mordukhovich subdifferential. Zbl 1314.49013 van Hang, Nguyen Thi; Yen, Nguyen Dong 1 2015 Coderivatives of a Karush-Kuhn-Tucker point set map and applications. Zbl 1282.90187 Lee, G. M.; Yen, N. D. 14 2014 A class of linear generalized equations. Zbl 1291.49015 Qui, Nguyen Thanh; Yen, Nguyen Dong 7 2014 The Pascoletti-Serafini scalarization scheme and linear vector optimization. Zbl 1307.90161 Huong, N. T. T.; Yen, N. D. 4 2014 Convergence of Pham Dinh-Le Thi’s algorithm for the trust-region subproblem. Zbl 1287.90046 Tuan, Hoang Ngoc; Yen, Nguyen Dong 9 2013 Multivalued Tikhonov trajectories of general affine variational inequalities. Zbl 1272.90098 Huong, N. T. T.; Khanh, P. D.; Yen, N. D. 3 2013 Solution existence and stability of quadratically constrained convex quadratic programs. Zbl 1262.90120 Kim, D. S.; Tam, N. N.; Yen, N. D. 12 2012 Linear fractional and convex quadratic vector optimization problems. Zbl 1348.90575 Nguyen Dong Yen 10 2012 Behavior of DCA sequences for solving the trust-region subproblem. Zbl 1259.65092 Le Thi, Hoai An; Pham Dinh, Tao; Yen, Nguyen Dong 10 2012 Stability of linear-quadratic minimization over Euclidean balls. Zbl 1268.90039 Lee, G. M.; Tam, N. N.; Yen, N. D. 10 2012 A property of bicriteria affine vector variational inequalities. Zbl 1253.49004 Huong, N. T. T.; Hoa, T. N.; Phuong, T. D.; Yen, N. D. 6 2012 On the concept of generalized order optimality. Zbl 1269.90102 Tuyen, N. V.; Yen, N. D. 3 2012 Monotone affine vector variational inequalities. Zbl 1237.90231 Yen, N. D.; Yao, J.-C. 16 2011 Properties of two DC algorithms in quadratic programming. Zbl 1213.90189 Le Thi, Hoai An; Pham Dinh, Tao; Yen, Nguyen Dong 13 2011 Characterizing convexity of a function by its Fréchet and limiting second-order subdifferentials. Zbl 1209.49031 Chieu, N. H.; Chuong, T. D.; Yao, J.-C.; Yen, N. D. 12 2011 Fréchet and normal coderivatives of implicit multifunctions. Zbl 1225.49022 Lee, G. M.; Yen, N. D. 11 2011 Minimax variational inequalities. Zbl 1238.49013 Huy, Nguyen Quang; Yen, Nguyen Dong 9 2011 Structure and weak sharp minimum of the Pareto solution set for piecewise linear multiobjective optimization. Zbl 1213.90225 Yang, X. Q.; Yen, N. D. 15 2010 Relationships between Robinson metric regularity and Lipschitz-like behavior of implicit multifunctions. Zbl 1186.49015 Chieu, N. H.; Yao, J.-C.; Yen, N. D. 12 2010 Further results on the lower semicontinuity of efficient point multifunctions. Zbl 1357.49098 Chuong, T. D.; Yao, J.-C.; Yen, N. D. 7 2010 Parametric variational system with a smooth-boundary constraint set. Zbl 1215.49019 Yao, J.-C.; Yen, N. D. 4 2010 Subgradients of marginal functions in parametric mathematical programming. Zbl 1177.90377 Mordukhovich, B. S.; Nam, N. M.; Yen, N. D. 85 2009 Coderivative calculations related to a parametric affine variational inequality. I: Basic calculations. Zbl 1176.49032 Yao, J.-C.; Yen, N. D. 20 2009 Coderivative calculation related to a parametric affine variational inequality. II: Applications. Zbl 1173.49023 Yao, J.-C.; Yen, N. D. 18 2009 Point-based sufficient conditions for metric regularity of implicit multifunctions. Zbl 1156.49014 Yen, N. D.; Yao, J.-C. 16 2009 Stability of a class of quadratic programs with a conic constraint. Zbl 1219.90118 Lee, G. M.; Tam, N. N.; Yen, N. D. 1 2009 Solution methods for pseudomonotone variational inequalities. Zbl 1302.49015 Tam, N. N.; Yao, J. C.; Yen, N. D. 28 2008 On the solution existence of pseudomonotone variational inequalities. Zbl 1149.49011 Kien, B. T.; Yao, J.-C.; Yen, N. D. 23 2008 Normal coderivative for multifunctions and implicit function theorems. Zbl 1140.49013 Lee, G. M.; Tam, N. N.; Yen, N. D. 19 2008 Covering properties at positive-order rates of multifunctions and some related topics. Zbl 1137.47038 Yen, N. D.; Yao, J.-C.; Kien, B. T. 19 2008 Unbounded components in the solution sets of strictly quasiconcave vector maximization problems. Zbl 1278.90394 Hoa, Tran Ninh; Huy, N. Q.; Ta Duy Phuong; Nguyen Dong Yen 10 2007 Continuity of the solution map in parametric affine variational inequalities. Zbl 1119.49010 Lee, Gue Myung; Tam, Nguyen Nang; Yen, Nguyen Dong 9 2007 Relationships between approximate Jacobians and coderivatives. Zbl 1127.49013 Nam, N. M.; Yen, N. D. 1 2007 Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming. Zbl 1121.49017 Mordukhovich, B. S.; Nam, N. M.; Yen, N. D. 76 2006 Continuity of the solution map in quadratic programs under linear perturbations. Zbl 1278.90292 Lee, G. M.; Tam, N. N.; Yen, N. D. 11 2006 Lower semicontinuity of the KKT point set in quadratic programs under linear perturbations. Zbl 1151.90031 Lee, G. M.; Tam, N. N.; Yen, N. D. 1 2006 Quadratic programming and affine variational inequalities. A qualitative study. Zbl 1092.90033 Lee, Gue Myung; Tam, Nguyen Nang; Yen, Nguyen Dong 44 2005 Linear fractional vector optimization problems with many components in the solution sets. Zbl 1127.90406 Hoa, Tran Ninh; Phuong Ta Duy; Nguyen Dong Yen 12 2005 On the optimal value function of a linearly perturbed quadratic program. Zbl 1079.90135 Lee, G. M.; Tam, N. N.; Yen, N. D. 11 2005 On the parametric affine variational inequality approach to linear fractional vector optimization problems. Zbl 1194.90080 Hoa, T. N.; Phuong, T. D.; Yen, N. D. 6 2005 Contractibility of the solution sets in strictly quasiconcave vector maximization on noncompact domains. Zbl 1090.90172 Huy, N. Q.; Yen, N. D. 2 2005 Bicriteria strictly quasiconcave maximization on noncompact sets. Zbl 1163.90733 Hoa, T. N.; Phuong, T. D.; Yen, N. D. 1 2005 Solution stability of nonsmooth continuous systems with applications to cone-constrained optimization. Zbl 1058.49013 Jeyakumar, V.; Yen, N. D. 19 2004 Remarks on a conjecture of J. Benoist. Zbl 1069.90090 Nguyen Quang Huy; Nguyen Dong Yen 3 2004 A result on vector variational inequalities with polyhedral constraint sets. Zbl 1001.90061 Lee, G. M.; Yen, N. D. 13 2001 On the stability of solutions to quadratic programming problems. Zbl 0988.90042 Phu, H. X.; Yen, N. D. 7 2001 Connectedness and stability of the solution sets in linear fractional vector optimization problems. Zbl 0995.90088 Nguyen Dong Yen; Ta Duy Phuong 10 2000 On monotone and strongly monotone vector variational inequalities. Zbl 0993.49013 Yen, Nguyen Dong; Lee, Gue Myung 9 2000 Vector variational inequality as a tool for studying vector optimization problems. Zbl 1018.90053 Lee, Gue Myung; Kim, Do Sang; Lee, Byung Soo; Yen, Nguyen Dong 3 2000 Some remarks on the elliptic regularization method. Zbl 1009.47065 Yen, Nguyen Dong; Lee, Gue Myung 1 2000 Continuity properties of the Karush-Kuhn-Tucker point set in quadratic programming problems. Zbl 0956.90023 Nguyen Nang Tam; Nguyen Dong Yen 11 1999 Vector variational inequality as a tool for studying vector optimization problems. Zbl 0956.49007 Lee, Gue Myung; Kim, Do Sang; Lee, Byung Soo; Yen, Nguyen Dong 94 1998 Solution sensitivity of a class of variational inequalities. Zbl 0906.49002 Nguyen Dong Yen; Lee, Gue Myung 28 1997 Stability of the solution set of perturbed nonsmooth inequality systems and application. Zbl 0901.90168 Yen, N. D. 20 1997 A result related to Ricceri’s conjecture on generalized quasi-variational inequalities. Zbl 0907.49004 Cubiotti, Paolo; Nguyen Dong Yen 8 1997 Convexity criteria for set-valued maps. Zbl 0882.26014 Pham Huu Sach; Nguyen Dong Yen 4 1997 Quasicomplementarity problems of type \(R_ 0\). Zbl 0851.90121 Oettli, W.; Yen, N. D. 11 1996 Hölder continuity of solutions to a parametric variational inequality. Zbl 0821.49011 Nguyen Dong Yen 78 1995 Lipschitz continuity of solutions of variational inequalities with a parametric polyhedral constraint. Zbl 0845.90116 Yen, N. D. 48 1995 Strict lower semicontinuity of the level sets and invexity of a locally Lipschitz function. Zbl 0840.90119 Phuong, T. D.; Sach, P. H.; Yen, N. D. 15 1995 On an existence theorem for generalized quasi-variational inequalities. Zbl 0822.49006 Nguyen Dong Yen 9 1995 Continuity of the solution set of homogeneous equilibrium problems and linear complementarity problems. Zbl 0849.90116 Oettli, Werner; Yen Nguyen Dong 6 1995 On \(G\)-semidifferentiable functions in Euclidean spaces. Zbl 0831.90108 Yen, N. D. 4 1995 A mean value theorem for semidifferentiable functions. Zbl 0896.49010 Nguyen Dong Yen 1 1995 Image of a parametric optimization problem and continuity of the perturbation function. Zbl 0807.90110 Mastroeni, G.; Pappalardo, M.; Yen, N. D. 12 1994 Generalized invexity and duality theories with multifunctions. Zbl 0808.90129 Sach, P. H.; Yen, N. D.; Craven, B. D. 10 1994 On a class of discontinuous vector-valued functions and the associated quasi-variational inequalities. Zbl 0815.49009 Nguyen Dong Yen 5 1994 On locally Lipschitz vector-valued invex functions. Zbl 0786.90054 Yen, N. D.; Sach, P. H. 9 1993 A new class of invex multifunctions. Zbl 1050.49522 Craven, B. D.; Sach, P. H.; Yen, N. D.; Phuong, T. D. 4 1992 Correction: On implicit function theorems for set-valued maps and their application to mathematical programming under inclusion constraints. Zbl 0762.90088 Dien, P. H.; Yen, N. D. 1 1992 On implicit function theorems for set-valued maps and their application to mathematical programming under inclusion constraints. Zbl 0742.90086 Dien, Pham Huy; Yen, Nguyen Dong 27 1991 New proof of a theorem of F. Giannessi. Zbl 0697.49022 Quang, P. H.; Yen, N. D. 5 1991 On differential estimations for marginal functions in mathematical programming problems with inclusion. Zbl 0706.49013 Nguyen Dong Yen; Pham Huy Dien 1 1990 On local controllability of nondifferentiable discrete-time system with nonconvex constraints on controls. Zbl 0685.93008 Nguyen Dong Yen; Trinh Cong Dieu 5 1989 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 680 Authors 58 Nguyen Dong Yen 50 Yao, Jen-Chih 28 Li, Shengjie 26 Lee, Gue Myung 24 Mordukhovich, Boris S. 20 Huang, Nan-Jing 19 Thai Doan Chuong 18 Kim, Do Sang 15 Yang, Xiaoqi 13 Dempe, Stephan 13 Kien, Bui Trong 11 Fang, Yaping 11 Tan, Bing 10 Anh, Lam Quoc 10 Durea, Marius 10 Huong, Nguyen Thi Thu 10 Huy, Nguyen Quang 10 Khanh, Pham Duy 10 Nguyen Thi Toan 10 Pham Huu Sach 10 Qui, Nguyen Thanh 9 Mehlitz, Patrick 9 Noor, Muhammad Aslam 9 Phan Quôc Khánh 9 Qin, Xiaolong 8 Cubiotti, Paolo 8 Gadhi, Nazih Abderrazzak 8 Hieu, Vu Trung 8 Li, Minghua 8 Nam, Nguyen Mau 8 Tam, Nguyen Nang 8 Wen, Chingfeng 7 Chen, Chunrong 7 Rojas-Medar, Marko Antonio 7 Teo, Kok Lay 7 Viet An, Duong Thi 7 Vuong, Phan Tu 7 Xue, Xiaowei 7 Zhu, Shengkun 6 Ansari, Qamrul Hasan 6 Chieu, Nguyen Huy 6 Farajzadeh, Ali P. 6 Kruger, Alexander Y. 6 Le Thi, Hoai An 6 Li, Xiaobing 6 Pham Dinh Tao 6 Phạm Tiên So’n 6 Salahuddin 6 Tuyen, Nguyen Van 6 Zemkoho, Alain B. 5 An, D. T. V. 5 Batista Dos Santos, Lucelina 5 Boţ, Radu Ioan 5 Bui Van Dinh 5 Ding, Xie Ping 5 Fang, Donghui 5 Huong, Vu Thi 5 Kanzi, Nader 5 Nghi, Tran Van 5 Nghia, Tran Thai An 5 Ngoc Tuan, Hoang 5 Nobakhtian, Soghra 5 Pang, Jong-Shi 5 Strugariu, Radu 5 Uderzo, Amos 5 Wan, Zhongping 5 Wang, Zhongbao 5 Wong, Ngai-Ching 5 Xu, Hong-Kun 5 Yang, Xinmin 5 Zafarani, Jafar 5 Zhong, Ren-you 4 Chen, Jiawei 4 Cho, Sun Young 4 El Idrissi, Mohammed 4 Goberna, Miguel Angel 4 Hu, Rong 4 Huyen, Duong Thi Kim 4 Khan, Faizan Ahmad 4 Li, Jun 4 Mastroeni, Giandomenico 4 Meng, Kaiwen 4 Peng, Zaiyun 4 Pham Duy Khanh 4 Phat, Vo Thanh 4 Pini, Rita 4 Thuy, Le Quang 4 Trang, Nguyen Thi Quynh 4 Tung, Le Thanh 4 Wong, Mu Ming 4 Yao, Wenfang 4 Zhang, Liwei 3 Agarwal, Ravi P. 3 Ait Mansour, Mohamed 3 Anh, Nguyen Le Hoang 3 Antczak, Tadeusz 3 Benita, Francisco 3 Bianchi, Monica 3 Viero Brandão, Adilson José 3 Ceng, Lu-Chuan ...and 580 more Authors all top 5 Cited in 109 Serials 121 Journal of Optimization Theory and Applications 70 Optimization 67 Journal of Global Optimization 34 Journal of Mathematical Analysis and Applications 32 Optimization Letters 29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Set-Valued and Variational Analysis 24 Journal of Inequalities and Applications 22 Mathematical Programming. Series A. Series B 20 SIAM Journal on Optimization 18 Positivity 17 Journal of Nonlinear and Variational Analysis 16 Applicable Analysis 16 Numerical Functional Analysis and Optimization 14 Acta Mathematica Vietnamica 11 European Journal of Operational Research 11 Abstract and Applied Analysis 11 Journal of Industrial and Management Optimization 9 Applied Mathematics Letters 9 Vietnam Journal of Mathematics 8 Applied Mathematics and Optimization 8 Journal of Computational and Applied Mathematics 6 Applied Mathematics and Computation 6 Set-Valued Analysis 6 Computational and Applied Mathematics 5 Computers & Mathematics with Applications 4 Mathematics of Operations Research 4 Annals of Operations Research 4 Taiwanese Journal of Mathematics 4 Fixed Point Theory and Applications 3 Operations Research Letters 3 Journal of Convex Analysis 3 Mathematical Methods of Operations Research 3 Journal of Fixed Point Theory and Applications 3 Asian-European Journal of Mathematics 2 Bulletin of the Australian Mathematical Society 2 Fuzzy Sets and Systems 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Computers & Operations Research 2 Computational Optimization and Applications 2 Applied Mathematics. Series B (English Edition) 2 Nonlinear Functional Analysis and Applications 2 Journal of Applied Mathematics 2 Journal of Nonlinear Science and Applications 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Croatian Operational Research Review (CRORR) 2 Numerical Algebra, Control and Optimization 2 Journal of Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Periodica Mathematica Hungarica 1 Chaos, Solitons and Fractals 1 Archiv der Mathematik 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Opsearch 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Tôhoku Mathematical Journal. Second Series 1 Journal of Information & Optimization Sciences 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asia-Pacific Journal of Operational Research 1 MCSS. Mathematics of Control, Signals, and Systems 1 Acta Mathematica Universitatis Comenianae. New Series 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Journal of Dynamics and Differential Equations 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Turkish Journal of Mathematics 1 Filomat 1 Integral Transforms and Special Functions 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 Optimization Methods & Software 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 The ANZIAM Journal 1 Mathematical Modelling and Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Journal of the Australian Mathematical Society 1 Journal of Systems Science and Complexity 1 Decisions in Economics and Finance 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 OR Spectrum 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 4OR 1 Thai Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Fixed Point Theory 1 Computational Management Science 1 Proyecciones 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Mathematics and Financial Economics ...and 9 more Serials all top 5 Cited in 30 Fields 529 Operations research, mathematical programming (90-XX) 445 Calculus of variations and optimal control; optimization (49-XX) 151 Operator theory (47-XX) 67 Numerical analysis (65-XX) 39 Real functions (26-XX) 27 Global analysis, analysis on manifolds (58-XX) 26 General topology (54-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Functional analysis (46-XX) 20 Systems theory; control (93-XX) 12 Computer science (68-XX) 9 Partial differential equations (35-XX) 9 Convex and discrete geometry (52-XX) 7 Ordinary differential equations (34-XX) 6 Algebraic geometry (14-XX) 4 Statistics (62-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) Citations by Year