Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On the Equivalance of Some Fixed Point Iterations

  • Ozdemir, Murat (Atatutk Universitesi Fen-Edebiyat Fakultesi Matematik Bolumu) ;
  • Akbulut, Sezgin (Atatutk Universitesi Fen-Edebiyat Fakultesi Matematik Bolumu)
  • Received : 2004.10.18
  • Published : 2006.06.23
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Abstract

In this paper, we have shown that the convergence of one-step, two-step and three-step iterations is equivalent, which are known as Mann, Ishikawa and Noor iteration procedures, for a special class of Lipschitzian operators defined in a closed, convex subset of an arbitrary Banach space.

Keywords

References

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