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Publications:
- D. F. Fang, X. F. Luo and C. Li, Nonlinear Simultaneous Approximation in Complete Lattice Banach Spaces, Taiwanese J. Math., 2008,to appear.(SCIE).(pdf)
- W. P. Shen and C. Li, Convergence Criterion of Inexact Methods for Operators with Holder Continuous First Derivatives, Taiwanese J. Math., 2008, to appear.(SCIE).(pdf)
- X. F. Luo, C. Li and G. Lopez, Best Simultaneous Approximation to Totally Bounded Sequences in Banach Spaces, Act. Math. Sinica New series, 24, 2008, to appear.(SCIE).(pdf)
- C. Li and W. P. Shen, Local convergence of inexact methods under the Holder condition, J. Comput. Appl. Math., 2008,online.(SCIE).(pdf)
- N. C. Hu, W. P. Shen and C. Li, Kantorovich’s type Theorems for Systems of Equations with Constant Rank Derivatives, J. Comp. Appl. Math. 2007, online.(SCIE).(pdf)
- C.Li, J.H.Wang, Newton’s method for sections on Riemannian manifolds: Generalized covariant -theory, Journal of Complexity, 2007,online.(SCI).(pdf)
- L. H. Peng and C. Li, Uniqueness of Simultaneous Approximations in Continuous Function Spaces, Appl. Math. Letters,21, 2008,pp.383-387.(SCI).(pdf)
- C. Li, K. F. Ng and T. K. Pong, Constraint qualifications for convex inequality systems with applications in constrained optimization, SIAM J. Optim., 19(1),2008,pp.163-187.(SCI).(pdf)
- X. F. Luo, C. Li and G. Lopez, Nonlinear Weighted Best Simultaneous Approximation in Banach Spaces, J. Math. Anal. Appl., 337, 2008, pp.1100-1118.(SCI).(pdf)
- J. S. He, J. H. Wang and C. Li, Newton's Method for Underdetermined Systems of Equations Under the γ-Condition, Numer. Funct. Anal. Optim., 28(5-6), 2007,pp.663-679.(SCI).(pdf)
- X. F. Luo and C. Li, Limit theory of restricted range approximations of complex-valued continuous functions, Science in China(Ser. A), 50(10), 2007,pp.1427-1440.(SCI).(pdf)
- X. B. Xu and C. Li, Convergence of Newton's Method for Systems of Equations with Constant Rank Derivatives, J. Comp. Math., 25(6), 2007,pp.705-718.(SCI).(pdf)
- X.T.Ye, C.Li, L.Y.Hou, Convergence criterion and convergence ball of theKing-Werner method under the radius Lipschitz
condition, Taiwanese J Math,11(1), 2007,pp.239-253. (SCIE). (pdf)
- C.Li, K. F. Ng,T. K. Pong, The SECQ, Linear Regularity, and the Strong CHIP for an Infinite System of Closed Convex Sets in Normed Linear Spaces, SIAM J. Optimization, 18(2), 2007,pp.643-665.(SCI). (pdf)
- C.Li, K. F. Ng, Majorizing Functions and Convergence of the Gauss-Newton Method for Convex Composite Optimization, SIAM J. Optimization,18(2), 2007,pp.613-642.(SCI). (pdf)
- L.H.Peng, C.Li,Existence and
porosity for a class of perturbed optimization problems in Banach spaces, J Math Anal Appl. 325(2), 2007, pp.987-1002.(SCI). (pdf)
- X.T.Ye, C.Li, On Base constraint Qualification for Infinite System
of Convex Inequalities in Banach Spaces, Act.
Math. Sinica, New series, 23(1), 2007, pp.65-76.(SCIE).
(pdf)
- X.T.Ye, C.Li, W.P.Shen, Convergence of the variants of the Chebyshev-Halley iteration family under the Holder condition of the first derivative, J Comput. Appl. Math, 203, 2007, pp.279-288.(SCIE).(pdf)
- C.Li, L.H.Peng, Porosity of perturbed
optimization problems in Banach spaces, J
Math Anal Appl. 324, 2006, pp.751-761.(SCI). (pdf)
- X.T.Ye, C.Li, Convergence of the family of
the deformed Euler-Halley iterations
under the Holder condition of the second derivative, J Comput. Appl. Math, 2006, pp.294-308.(SCIE).
(pdf)
- C.Li, J.H.Wang, Newton’s method on Riemannian manifolds:
Smale's point estimate theory under the
γ-condition, IMA Numer Anal, 26,
2006, pp.228-251 (SCI).(pdf)
- J.H.Wang,
C.Li, Uniqueness of the singular points of vector
fields on Riemannian manifolds under the γ-condition, J of Complexity, 22,2006, pp.533-548 (SCI). (pdf)
- C.Li, G.Lopez, On
generic well-posedness of restricted Chebyshev center problems in Banach spaces, Act.Math. Sinica,New
series,22(3),
2006, pp.741-750.(SCIE). (pdf)
- C.LI, K. F. Ng, On best restricted range approximation in continuous complex-valued function spaces, J Approx. Theory, 136, 2005, pp.159-181.(SCI). (pdf)
- C.Li, Strong
uniqueness of the restricted Chebyshev center with
respect to an RS-set in a Banach space,
J Approx. Theory, 135, 2005, pp.35-53. (SCI) (pdf)
- C.Li, J.H.Wang,
Convergence of The Newton Method and Uniqueness of
Zeros of Vector Fields on Riemannian
Manifolds, Science in China, 48, 2005, pp.1465-1478. (SCI) (pdf)
- C.Li, K. F. Ng, Strong CHIP for Infinite
System of Closed Convex Sets in Normed Linear
Spaces, SIAM J Optimization,16(2), 2005, pp.311-340.(SCI) (pdf)
- C.Li, K. F. Ng, On Constraint
Qualification for an Infinite System of Convex Inequalities in a Banach Space, SIAM J Optimization,
15(2), 2005, pp.488-512. (SCI) (pdf)
- C.Li, On best
approximations from RS-sets in Complex Banach
spaces, Acta Math. Sinica, New series,
21(1), 2005, pp.31-38. (SCIE). (pdf)
- C.Li, H. K. Xu, Ambiguous Loci of
Mutually Nearest and Mutually Furthest Points
in Banach Spaces,Nonlinear Anal,58, 2004, pp.367-377.(SCI) (pdf)
- C.Li, W.H.Zhang, X.Q.Jin,Convergence and
Uniqueness Properties of Gauss-Newton's
Method, Computer Math. Applic. 47, 2004, pp.1057-1067.
(SCI) (pdf)
- C.Li, J.S.He, Strong uniqueness of best approximations
in spaces of bounded linear operators,
Science in China (Ser. A),47(3), 2004, pp.339-351. (SCI) (pdf)
- C.Li, R.X.Ni, On well-posed mutually nearest and
mutually furthest points problems in
Banach spaces, Act. Math. Sinica, New series,20(1), 2004, pp.147-156. (SCIE). (pdf)
- C.Li, H. K. Xu , Porosity of Mutually
Nearest and Mutually Furthest Points in
Banach Spaces. J Approx. Theory,125, 2003, pp.10-25.(SCI)(pdf)
- C.Li, Watson,On nonlinear simultaneous Chebyshev
approximation problems, J Math Anal Appl.
288, 2003, pp.167-181. (SCI) (pdf)
- C.Li, K. F. Ng, Constraint Qualification,
the Strong CHIP ,and Best Approximation
with Convex Constraints in Banach Spaces, SIAM J . Optimization,14(2), 2003, pp.584-607.
(SCI) (pdf)
- X.H.Wang, C.Li, Convergence of
Newton's method and uniqueness of the solution of equations in Banach spaces II , Act. Math.
Sinica, New series, 19(2), 2003, pp.405-412.
(SCIE). (pdf)
- X.H.Wang, C.Li, On the united theory of the
family of Euler-Halley type methods with
cubical convergence in Banach spaces, J Comp Math,
21(2), 2003, pp.195-200. (SCIE). (pdf)
- H.Y.Wang, C.Li, X.H.Wang, On relationship between convergence ball of Euler iteration in Banach spaces and its dynamical
behavior on Riemann spheres, Science in
China(Ser. A), 46(3), 2003, pp.376-382.(SCI)
(pdf)
- C.Li, On best
uniform restricted range approximation in
complex-valued continuous function spaces, J
Approx. Theory, 120, 2003, pp.71-84.(SCI)
(pdf)
- C.Li, K. F. Ng, On
best approximation by nonconvex sets and
perturbation of nonconvex inequality systems in Hilbert
spaces, SIAM J Optimization,13(3), 2002,
pp.726-744. (SCI) (pdf)
- C.Li, X.H.Wang, On convergence of Gauss-Newton
methods for convex composite optimization,
Mathematical Programming,91(2), 2002, pp.349-356. (SCI)
(pdf)
- X.H.Wang, C.Li, M. J. Lai, A unified convergence theory for
Newton's type methods for zeros of nonlinear
operators in Banach spaces, BIT,Numer. Math.,
42(1), 2002, pp.206-213. (SCI) (pdf)
- C.Li, R.X.Ni, Derivatives of
Generalized Distance Functions and Existence of Generalized Nearest Points, J Approx.
Theory,115, 2002, pp.44-55.(SCI) (pdf)
- C.Li, X.Q.Jin,
Nonlinearly constrained best approximation in
Hilbert spaces:the strong CHIP and the basic
constraint qualification,SIAM J.
Optimization, 13(1), 2002, pp.228-239. (SCI) (pdf)
- C.Li, H. K. Xu, On
almost well-posed mutually nearest and mutually furthest point problems, Numer. Funct. Anal.
Optim. 23(3-4), 2002, pp.323-331.
(SCIE) (pdf)
- C.Li, Watson, The limit of best generalized
peak norm approximations, J. Math Anal Appl.
263, 2001, pp.683-694. (SCI) (pdf)
- X.H.Wang, C.Li,Local and Global
Behaviors for Algorithms of Solving Equations, Chinese Science Bulletin, 46, 2001,
pp.441-447. (SCI)
(pdf)
- C.Li, On well posedness of best
simultaneous approximation problems in Banach
spaces,Science in China(Ser. A), 44(12), 2001, pp.1558-1570.
(SCI) (pdf)
- C.Li, On mutually nearest and mutually furthest
points in reflexive Banach spaces. J Approx.
Theory,103, 2000, pp.1-17. (SCI) (pdf)
- C.Li, On well posed
generalized best approximation problems. J Approx. Theory,107, 2000, pp. 96-108. (SCI) (pdf)
- C.Li, X.H.Wang,
Gauss-Newton methods for a class of nonsmooth optimization
problems, Progress in Natural Science,
10, 2000, pp.470-473.(SCIE)
- C.Li, Watson,
Best simultaneous approximation of an
infinite set of functions, Computer
Math. Applic. 37, 1999, pp.1-9. (SCI) (pdf)
- C.Li, X.H.Wang,W.S.Yang, An
estimate for Lipschitz constants of metric projections. J Math Anal Appl. 231, 1999, pp.133-141.
(SCI) (pdf)
- C.Li, X.H.Wang, Lipschitz continuity of best approximation
and Chebyshev centers, Chinese Science
Bulletin, 43, 1998, pp.185-188. (SCI) (pdf)
- C.Li, X.H.Wang, Generalized
weight approximation by maximal families with applications, Act. Math. Sinica, New series, 14, 1998, pp.635-647.(SCIE)
- C.Li, X.H.Wang, Almost
Chebyshev set with respect to bounded subsets, Science in China(Ser. A), 40, 1997, pp.375-383.
(SCI)
- C.Li, Watson, Strong uniqueness in restricted
rational approximation, J Approx. Theory, 89, 1997, pp.96-113. (SCI) (pdf)
- C.Li, Watson, On best simultaneous
approximation, J Approx. Theory,91, 1997, pp.332-348. (SCI) (pdf)
- W.S.Yang, C.Li, Watson, Characterization and
uniqueness of nonlinear uniform approx-imation, Proc. EMS, 40, 1997, pp.473-482. (SCI)
- C.Li,
Watson, A class of best simultaneous approximation problems, Comput. Math. Applic. 31(10), 1996, pp.45-53.
(SCI) (pdf)
- C.Li, Watson, Characterization of a best and a unique
best approximation from
constrained rationals, Comput. Math. Applic.
30(3-6), 1995, pp.51-57 (SCI) (pdf)
- C.Li, Watson, On
approximation using a peak norm, J Approx.
Theory,77, 1994, pp.266-275. (SCI)
- W.S.Yang, C.Li, Strong unicity for monotone approximation by
reciprocals of polynomials, J Approx. Theory, 78, 1994, pp.19-29. (SCI)
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