Kung Fu Ng's Home Page

Research Professor, Ph. D., D. Sc.(Wales)

Department of Mathematics
The Chinese University of Hong Kong
Shatin, New Territories, Hong Kong

Office :  (852) 2609 7968
Fax :     (852) 2603 5154
E-mail :  kfng@math.cuhk.edu.hk 

Research Interests

Functional Analysis and Optimization, Convex Analysis.
 

Selected Recent Publications

K. F. Ng, "An Open Mapping Theorem", Math. Proc. Camb. (old name of the Journal: Proc. Camb. Phil. Soc.), 74 (1973), 61-66. (PDF file)

C. C. Chou, K. F. Ng and J. S. Pang, "Minimizing and Stationary Sequences of Constrained Optimization Problems", SIAM Journal on Control and Optimization, 36 (1998), 1908-1936, available at epubs.siam.org.

L. R. Huang, K. F. Ng and J. P. Penot, "On Minimizing and Critical Sequences in Nonsmooth Optimization", SIAM Journal on Optimization, 10 (2000), 999-1019, available at epubs.siam.org.

K. F. Ng and X. Y. Zheng, "Global Error Bounds with Fractional Exponents", Mathematical Programming, Ser. B88 (2000), 357-370. (DVI file), available at http://www.springerlink.com/openurl.asp?genre=article&issn=0025-5610&volume=88&issue=2&spage=357.

K. F. Ng and X. Y. Zheng, "Error Bounds For Lower Semicontinuous Functions in Normed Spaces", SIAM Journal on Optimization, 12 (2001), 1-17. (DVI file), available at epubs.siam.org.

Y. R. He and K. F. Ng, "Best Approximation and Perturbation Property in Hilbert Spaces," J. Optim. Theory App., 126 (2005), No. 2, 265-285. (PS file)

K. F. Ng and X. Y. Zheng, "Existence of Efficient Points in Vector Optimization and Generalized Bishop-Phelps Theorem", J. Optim. Theory App., 115 (2002), 29-47. (DVI file), available at springerlink.metapress.com.

K. F. Ng and  X.Y. Zheng, "Error Bounds of Constrained Quadratic Functions and Piecewise Affine Inequality Systems," J. Optim. Theory App., 118 (2003), 584-607.(DVI file), available at springerlink.metapress.com.

Kung Fu Ng and Wei Hong Yang, "Error Bounds for Abstract Linear Inequality Systems", SIAM Journal on Optimization, 13 (2002), 24-43. (DVI file), available at epubs.siam.org.

Kung Fu Ng and Wei Hong Yang, "Regularities and Their Relations to Error Bounds", Math. Program. Ser. A, 99(2004), 521-538. (PDF file), available at springerlink.metapress.com.

Kung Fu Ng and Xi Yin Zheng, "Characterization of Error Bounds for Convex Multifunctions on Banach Spaces", Math. Oper. Res., 29(2004), 45-63. ( DVI file) ,  available at proquest.umi.com.

L.R. Huang and K.F. Ng, "On First and Second-Order Conditions for Error Bounds", SIAM Journal on Optimization, 14(2004), 1057-1073.(DVI file), available at epubs.siam.org.

K. F. Ng and Xi Yin Zheng, "Hoffman's Least Error Bounds for Systems of Linear Inequality", J. Global Optim., 30(2004), 391-403. (DVI file)

Chong Li and K. F. Ng, "Constraint Qualification, the Strong CHIP and Best Approximation with Convex Constraints in Banach Spaces", SIAM Journal on Optimization, 14(2003) 584-607, available at epubs.siam.org.

Chong Li and K.F. Ng, “On Constraint Qualification for an Infinite System of Convex Inequalities in a Banach Space”, SIAM Journal on Optimization, 15(2005), No. 2, 488-512. Available at epubs.siam.org.

Xin Yi Zheng and K. F. Ng, "Error Bound Moduli for Conic Convex Systems on Banach Spaces", Math. Oper. Res., 29(2004), 213-228. Abstract available at proquest.umi.com.

Xin Yi Zheng and K. F. Ng, "Metric Regularity and Constraint Qualifications for Convex Inequalities on Banach Spaces", SIAM Journal on Optimization, 14(2004), 757-772, available at epubs.siam.org.

K. F. Ng and Wei Hong Yang, "Error Bounds for Some Convex Functions and Distance Composite Functions", SIAM Journal on Optimization, 15(2005), No. 4, 1042-1056. (DVI file)

Chong Li and K. F. Ng, "Strong CHIP for Infinite System of Closed Convex Sets in Normed Linear Spaces", SIAM Journal on Optimization, 16(2005), No. 2, 311-340. (DVI file)

Chong Li and K. F. Ng, "On Best Restricted Range Approximation in Continuous Complex-Valued Function Spaces", Journal of Approximation Theory, 136(2005), issue 2, 159-181. (DVI file)

X. Y. Zheng and K. F. Ng, "The Fermat Rule for Multifunctions in Banach Spaces", Math. Program. Ser. A, 104(2005), 69-90.(DVI file)

"Linear Regularity and f-Regularity of Nonconvex Sets", J. Math. Anal. Appl. 328(2007),257-280, (with R. Zang).

"D-Gap Functions for Nonsmooth Variational Inequality Problems", J. Optim. Theory Appl. doi 10.1007 / s10957-007-9193-1 (2007), (with L. L. Tan).

"Error Bounds of Regularized Gap Functions for Nonsmooth Variational Inequality Problems", Math. Prog. Ser. A, 110 (2007), 405-429, (with L. L. Tan).

"The Lagrange Multilizer Rule for Multifunctions in Banach Spaces", SIAM J. Optim. 17 (2006), pp. 1154 - 1175., (with X. Y. Zheng).

"Majoring functions and convergence of Gauss-Newton's method for convex composite optimization", SIAM J. Optim., 18 (2007), 613-642, (with C. Li) (PDF file)

"Metric subregularity and constraint qualifications for convex generalized equations in Banach spaces", SIAM J. Optim., 18 (2007), 437-460, (with X.Y. Zheng) (PDF file)

"The SECQ, linear regularity and the strong CHIP for infinite system of closed convex sets in normed linear space", SIAM J. Optim., 18 (2007), 643-665, (with C. Li and T.K. Pong) (PDF file)

"Linear regularity for a collection of subsmooth sets in Banach spaces", submitted to SIAM J. Optim., (with X.Y. Zheng) (PDF file)

"Unified approach to some geometric results in variational analysis", Journal of Functional Analysis, 248 (2007), 317-343,(with G.Y. Li and X.Y. Zheng) (PDF file)

"Constraint Qualifications for Convex Inequality Systems with Applications in Constrained Optimization", submitted to SIAM J. Optim., (with C. Li and T.K. Pong) (PDF file)