• Title/Summary/Keyword: Local strongly accretive operator

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STRONG CONVERGENCE AND ALMOST STABILITY OF ISHIKAWA ITERATIVE SCHEMES WITH ERRORS IN BANACH SPACES

  • Zeqing Liu;Kim, Jong-Kyu;Park, Hye-Kyeong
    • Journal of applied mathematics & informatics
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    • v.10 no.1_2
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    • pp.261-275
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    • 2002
  • 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.