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Publications


  1. 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)

  2. 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)

  3. 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)

  4. C. Li and W. P. Shen, Local convergence of inexact methods under the Holder condition, J. Comput. Appl. Math., 2008,online.(SCIE).(pdf)

  5. 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)

  6. C.Li, J.H.Wang, Newton’s method for sections on Riemannian manifolds: Generalized covariant -theory, Journal of Complexity, 2007,online.(SCI).(pdf)

  7. L. H. Peng and C. Li, Uniqueness of Simultaneous Approximations in Continuous Function Spaces, Appl. Math. Letters,21, 2008,pp.383-387.(SCI).(pdf)

  8. 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)

  9. 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)

  10. 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)

  11. 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)

  12. 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)

  13. 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)

  14. 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)

  15. 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)

  16. 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)

  17. 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)

  18. 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)

  19. C.Li, L.H.Peng, Porosity of perturbed optimization problems in Banach spaces, J Math Anal Appl. 324, 2006, pp.751-761.(SCI). (pdf)

  20. 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)

  21. 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)

  22. 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)

  23. 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)

  24. 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)

  25. 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)

  26. 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)

  27. 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)

  28. 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)

  29. 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)

  30. 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)

  31. 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)

  32. 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)

  33. 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)

  34. 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)

  35. C.Li, Watson,On nonlinear simultaneous Chebyshev approximation problems,  J Math Anal Appl. 288, 2003, pp.167-181. (SCI) (pdf)

  36. 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)

  37. 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)

  38. 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)

  39. 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)

  40. C.Li, On best uniform restricted range approximation in complex-valued continuous function spaces, J Approx. Theory, 120, 2003, pp.71-84.(SCI) (pdf)

  41. 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)

  42. 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)

  43. 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)

  44. 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)

  45. 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)

  46. 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)

  47. C.Li, Watson, The limit of best generalized peak norm approximations, J. Math Anal Appl. 263, 2001, pp.683-694. (SCI) (pdf)

  48. X.H.Wang, C.Li,Local and Global Behaviors for Algorithms of Solving Equations, Chinese Science Bulletin, 46, 2001,  pp.441-447.  (SCI) (pdf)

  49. 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)

  50. C.Li, On mutually nearest and mutually furthest points in reflexive Banach spaces. J Approx. Theory,103, 2000,  pp.1-17. (SCI) (pdf)

  51. C.Li, On well posed generalized best approximation problems. J Approx. Theory,107, 2000, pp. 96-108. (SCI) (pdf)

  52. 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)
       

  53. C.Li, Watson, Best simultaneous approximation of an infinite set of functions,  Computer Math. Applic. 37, 1999, pp.1-9. (SCI) (pdf)

  54. 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)

  55. C.Li, X.H.Wang, Lipschitz continuity of best approximation and Chebyshev centers,  Chinese Science Bulletin, 43, 1998, pp.185-188. (SCI) (pdf)

  56. C.Li, X.H.Wang, Generalized weight approximation by maximal families with applications, Act. Math. Sinica, New series, 14, 1998, pp.635-647.(SCIE)

  57. C.Li, X.H.Wang, Almost Chebyshev set with respect to bounded subsets, Science in China(Ser. A), 40, 1997, pp.375-383. (SCI)

  58. C.Li, Watson, Strong uniqueness in restricted rational approximation, J Approx. Theory, 89, 1997, pp.96-113. (SCI) (pdf)

  59. C.Li, Watson, On best simultaneous approximation, J Approx. Theory,91, 1997, pp.332-348. (SCI) (pdf)

  60. W.S.Yang, C.Li, Watson, Characterization and uniqueness of nonlinear uniform approx-imation, Proc. EMS, 40, 1997, pp.473-482. (SCI)

  61. C.Li, Watson, A class of best simultaneous approximation problems, Comput. Math. Applic. 31(10), 1996, pp.45-53. (SCI) (pdf)

  62. 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)

  63. C.Li, Watson, On approximation using a peak norm,  J Approx. Theory,77, 1994, pp.266-275. (SCI)

  64. W.S.Yang, C.Li, Strong unicity for monotone approximation by reciprocals of  polynomials, J Approx. Theory, 78, 1994, pp.19-29. (SCI)