Journal of Hebei University(Natural Science Edition) >

2006 , Vol. 26 >Issue 4: 348 - 349

DOI: https://doi.org/10.3969/j.issn.1000-1565.2006.04.004

A Convergence Theorem About Mann Iteration of Strictly Pseudo-contraction Mapping in Hilbert Space

  • ZHOU He-yue ,
  • ZHANG Ming-hu ,
  • ZHOU Hai-yun
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Online published: 2006-07-25

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ZHOU He-yue , ZHANG Ming-hu , ZHOU Hai-yun . A Convergence Theorem About Mann Iteration of Strictly Pseudo-contraction Mapping in Hilbert Space[J]. Journal of Hebei University(Natural Science Edition), 2006 , 26(4) : 348 -349 . DOI: 10.3969/j.issn.1000-1565.2006.04.004

References

[1] RHOADES B E. Fixed point iterations using infinite matrices [J]. Transactions of the American Mathematical Society 1974, 196.
[2] GOEBEL K, KIRK W A. A fixed point theorem for asymptotically nonexpansive mappings [J]. Proceedings of the American Mathematical Society 1972, 35.
[3] BOSE S. Weak convergence to the fixed point of an asymptotically nonexpansive mapping [J]. Proceedings of the American Mathematical Society 1978, 68.
[4] SCHU J. Iteration construction of fixed points of asymptotically nonexpansive mapping [J]. Journal of Mathematical Analysis and Applications 1991, 158.
[5] SCHU J. Weak and strong convergence of fixed points of asymptotically non-expansive mapping [J]. Bulletin of the Australian Mathematical Society 1991, 43.
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