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Stability of Iterative Sequences Approximating Common Fixed Point for a System of Asymptotically Quasi-nonexpansive Type Mappings

조열제|Nan-jing Huang|Jun Li
경북대학교 자연과학대학 수학과|2007.03|Kyungpook Mathematical Journal|제47권 제1호|pp. 81-89

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Abstract

In this paper, we introduce the concept of a system of asymptotically quasi-nonexpansive type mappings. Furthermore, we dene ak-step iterative sequence ap-proximating common xed point for a system of asymptotically quasi-nonexpansive typemappings and study its stability in real Banach spaces.

참고문헌 (22)

  1. R. P. Agarwal, "Stability of iterative procedures with errors for nonlinear equations of ？-strongly accretive type operators", 22, pp.471~485 (2001)
  2. R. P. Agarwal, "Stability of iterative procedures with errors approximating common fixed point for a couple of quasi-contractive mappings in q-uniformly smooth Banach spaces", 272, pp.435~447 (2002)
  3. S. S. Chang, "On the approximating problem of fixed points for asymptotically nonexpansive mappings", 32(9), pp.1~11 (2001)
  4. M. K. Ghosh, "Convergence of Ishikawa iterative of quasi-nonexpansive mappings", pp.96~103 (1997)
  5. Goebel, "A fixed point theorem for asymptotically nonexpansive mappings", pp.171~174 (1972)
  6. A, "Fixed Point Theory and Stability Results for Fixed Point Iteration Procedures University of Missouru-Rolla" (1987)
  7. A, "A stable iteration procedure for nonexpansive mappings", pp.687~692 (1988)
  8. A, "Stability results for fixed point iteration procedures", pp.693~706 (1988)
  9. Z.Y. Huang, "Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings", 37, pp.1~7 (1999)
  10. A, "Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type", pp.339~346 (1974)
  11. Q. H. Liu, "Iterative sequences for asymptotically quasi-nonexpansive mappings", 259, pp.1~7 (2001)
  12. Q. H. Liu, "Iterative sequences for asymptotically quasi-nonexpansive mappings with error member", 259, pp.18~24 (2001)
  13. Q. H. Liu, "Iteration sequences for asymptotically quasi-nonexpansive mappings with error member of uniformly convex Banach spaces", 266, pp.468~471 (2002)
  14. M. O. Osilike, "Stable iteration procedures for strong pseudocontractions and nonlinear equations of the accretive type", 204, pp.677~692 (1996)
  15. M. O. Osilike, "Stability of the Mann and Ishikawa iteration procedures for ？-strong pseudocontractions and nonlinear equations of the ？-strongly accretive type", 227, pp.319~334 (1998)
  16. Williamson, "Strong and weak convergence of the sequence of successive approximations for asymptotically quasi-nonexpansive mappings", pp.459~497 (1973)
  17. Rhoades, "Fixed point theorems and stability results for fixed point iteration procedures", pp.1~9 (1990)
  18. Rhoades, "Fixed point theorems and stability results for fixed point iteration procedures II", pp.691~703 (1993)
  19. Schu, "Iterative construction of fixed points of asymptotically nonexpansive mappings", pp.407~413 (1991)
  20. Tan, "Fixed point iteration processes for asymptotically nonexpansive mappings", pp.733~739 (1994)
  21. Tan, "Approximating fixed point of nonexpansive mappings by the Ishikawa iterative process", pp.301~308 (1993)
  22. L. C. Zeng, "A note on approximating fixed points of nonexpansive mapping by the Ishikawa iterative processes", 226, pp.245~250 (1998)

관련 논문AI추천

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