Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지

DEMI-CLOSED PRINCIPLE AND WEAK CONVERGENCE PROBLEMS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

  • Chang, Shih-Sen (Department of Mathematics Sichuan University) ;
  • Cho, Yeol-Je (Department of Mathematics Education College of Education Gyeongsang national University) ;
  • Haiyun Zhou (Department of Mathematics Shijiazhuang Mechanical Engineering College)
  • Published : 2001.11.01
Download PDF
⟨ Previous Next ⟩

Abstract

A demi-closed theorem and some new weak convergence theorems of iterative sequences for asymptotically nonexpansive and nonexpansive mappings in Banach spaces are obtained. The results presented in this paper improve and extend the corresponding results of [1],[8]-[10],[12],[13],[15],[16], and [18].

Keywords

References

  1. Proc. Amer. Math. Soc. v.68 Weak convergence to the fixed point of an asymptotically nonexpansive map S. C. Bose
  2. Isreal J. Math. v.32 A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces R. E. Bruck
  3. J. Math. Anal. Appl. v.216 On Chidume's open questions and approcimate solutions of multivalued strongly accretive mapping equations in Banach spaces S. S. Chang
  4. Proc. Amer. Math. Soc. Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings S. S. Chang
  5. Indian J. Pure Appl. Math. On the approximating problem of fixed points for asymptotically nonexpansive mappings S. S. Chang
  6. Nonlinear Funct. Anal. Appl. On the iterative approximation problems of fixed points for asymptotically nonexpansive type mappings S. S. Chang;J. A. Liu;Y. J. Cho
  7. Proc. Amer. Math. Soc. v.35 no.1 A fixed point theorem for asymptotically nonexpansive mappings K. Goebel;W. A. Kirk
  8. J. Math. Anal. Appl. v.161 Nonlinear ergodic theorems for asymptotically nonexpansive mappings in Banach spaces satisfying Opial's condition J. Gornicki
  9. Proc. Amer. Math. Soc. v.84 Construction of fixed points for asymptotically nonexpansive mappings G. B. Passty
  10. J. Math. Anal. Appl. v.67 Weak convergence theorems for nonexpansive mappings in Banach spaces S. Reich
  11. J. Math. Anal. Appl. v.158 Iterative construction of fixed points of asymptotically nonexpansive mappings J. Schu
  12. Bull. Austral. Math. Soc. v.43 Weak and strong convergence to fixed points of asymptotically nonexpansive mappings J. Schu
  13. Proc. Amer. Math. Soc. v.122 Fixed point iteration processes for asymptotically nonexpansive mappings K. K. Tan;H. K. Xu
  14. J. Math. Anal. Appl. v.178 Approximating fixed points of nonexpansive mappings by the Ishikawaiteration process K. K. Tan;H. K. Xu
  15. Proc. Amer. Math. Soc. v.114 The nonlinear ergodic theorem for asymptotically nonexpansive mapping in Banach spaces K. K. Tan;H. K. Xu
  16. Bull. Austral. Math. Soc. v.45 A nonlinear ergodic theorem for asymptotically nonexpansive mappings K. K. Tan;H. K. Xu
  17. Nonlinear Anal. TMA v.16 no.12 Inequalities in Banach spaces with applications H. K. Xu
  18. Nonlinear Anal. v.16 no.12 Existence and convergence for fixed points of mappings of asymptotically nonexpansive type H. K. Xu