Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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STRONG CONVERGENCE AND ALMOST STABILITY OF ISHIKAWA ITERATIVE SCHEMES WITH ERRORS IN BANACH SPACES

  • Zeqing Liu (Department of Mathematics, Liaoning normal University) ;
  • Kim, Jong-Kyu (Department of Mathematics, Kyungnam University) ;
  • Park, Hye-Kyeong (Department of Mathematics, Kyungnam University)
  • Published : 2002.09.01

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Abstract

Let T be a local strongly accretive operator from a real uniformly smooth Banach space X into itself. It is proved that Ishikawa iterative schemes with errors converge strongly to a unique solution of the equations T$\_$x/ = f and x + T$\_$x/ = f, respectively, and are almost T$\_$b/-stable. The related results deal with the strong convergence and almost T$\_$b/-stability of Ishikawa iterative schemes with errors for local strongly pseudocontractive operators.

Keywords

References

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