On the Ishikawa iteration process in Hilbert spaces

• Autores: R.A. Rashwan, A.M. Saddeek
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 45, Fasc. 1, 1994, págs. 45-52
• Idioma: inglés
• Enlaces
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• Resumen

  • In this paper, we shall prove that a certain sequence of points which is iteratively defined converges always to a fixed point of some contractive mappings. The results generalize corresponding theorems of Singh and Qihou.

• Referencias bibliográficas
  • S. Ishikawa, Fixed points by a new iteration, Proc. Amer. Math. Soc. 44 (1974), 147–150.
  • Liu Qihou, A convergence theorem of the sequence of Ishikawa iterates for Quasi-Contractive mappings, Journal of Mathematical Analysis and...
  • R. A. Rashwan, On the convergence of Mann iterates to a common fixed point for a pair of mappings, Demonstratio Math. 33 (1990), 709–712.
  • K. L. Singh, Fixed point iterations using infinite matrices, Proc. of an International Conference on Applied Nonlinear Analysis, Academic...
  • H. K. Xu, A note on the Ishikawa iteration scheme, Journal of Mathematical Analysis and Applications 167 (1992), 582–587.