Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

SOME CONVERGENCE THEOREMS FOR MAPPINGS OF ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE IN BANACH SPACES

  • Chang, Shih-sen (Department of Mathematics, Sichuan University) ;
  • Yuying Zhou (Department of Mathematics, Yunnan Normal University)
  • 발행 : 2003.05.01

⟨ 이전 논문 다음 논문 ⟩

초록

The purpose of this paper is to study the necessary and sufficient conditions for the sequences of Ishikawa iterative sequences with mixed errors of asymptotically quasi-nonexpansive type mappings in Banach spaces to converge to a fixed point in Banach spaces. The results presented in this paper extend and improve the corresponding results of［l-4, 7-9].

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참고문헌

  1. Proc. Amer. math. Soc. v.129 no.3 Some results for asymptotically pseudo-contractive mappings and asymp-totically nonexpansive mappings Shih-sen Chang
  2. Acta Math. Appl. v.24 no.2 iterative approximation problem of fixed points for asymptotically non-expansive mappings in Banach spaces Shih-sen Chang
  3. Indian J. Pure and Appl. v.32 no.9 on the approximating problem of fixed points for asymptotically nonex pansive mappings Shih-sen Chang
  4. J. Math. Anal. Appl. v.207 Convergence of Ishikawa iterative of quasi-nonexpansive mappings M. K. Ghosh;L. Debnath
  5. Proc. Amer. Math. Soc. v.35 A fixed point therem for asymptotically nonexpansive map-pings K. Goebel;W. A. kirk
  6. Israel J. Math v.17 Fixed point theorems non-Lipschitxian mappings of asymptotically nonexpansive type W. A. kirk
  7. J. Math. Anal. Appl. v.259 iterative sequences for asymptotically quasi-nonexpansive mappings Q. H. Liu
  8. J. Math. Anal. Appl v.259 Iterative sequences for asymptotically quasi-nonexpansive mappings with error member Q. H. Liu
  9. J. Math. Anal. Appl. v.43 Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings W. V. petryshyn;T. E. Williamson
  10. J. Math. Anal. Appl. v.178 Approximating fixed points of nonexpansive mappings by the Ishikawa iterative process K. K. Tan;H. K. Xu
  11. Nonlinear Anal. TMA v.47 no.7 Approximating the fixed points of φ-hemicontractions by the Ishikawa iterative process with mixed errors in normed linear spaces H.Y. Zhou;Y.J. Cho;S.S. Chang