Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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NECESSARY AND SUFFICIENT CONDITIONS FOR CONVERGENCE OF ISHIKAWA ITERATIVE SCHEMES WITH ERRORS TO φ-HEMICONTRACTIVE MAPPINGS

  • Liu, Seqing (Department of Mathematics Liaoning Normal University) ;
  • Kim, Jong-Kyu (Department of Mathematics Kyungnam University) ;
  • Kang, Shin-Min (Department of mathematics Gyeongsang National University)
  • Published : 2003.04.01
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Abstract

The purpose of this paper is to establish the necessary and sufficient conditions which ensure the strong convergence of the Ishikawa iterative schemes with errors to the unique fixed point of a $\Phi$-hemicontractive mapping defined on a nonempty convex subset of a normed linear space. The results of this paper extend substantially most of the recent results.

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References

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