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  3. The equivalence between MannIshikawa iterations and ...

    Then for u 1 =x 1 B the following are equivalent: (i) the Mann iteration converges to the fixed point of T, (ii) the Ishikawa iteration converges to the fixed point of T. Theorem 2.1, Theorem 2.2 lead to the following result. Corollary 2.3. Let X be a real Banach space with a uniformly convex dual and B a nonempty, closed, convex, bounded 10116 equivalent for ishikawa

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    iteration converges, so does the Ishikawa iteration. Given the large variety of functions and spaces, such a global statement is, of course, not provable. How-ever, in this paper, we do show that, for several classes of functions, Mann and Ishikawa iteration procedures are equivalent. Picard iteration is dened by p0 Xand pn+1 =Tpn, where 10116 equivalent for ishikawa

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  15. Comparison of the Rate of Convergence among Picard,

    Dec 21, 2010 · We provide sufficient conditions for Picard iteration to converge faster than Krasnoselskij, Mann, Ishikawa, or Noor iteration for quasicontractive operators. We also compare the rates of convergence between Krasnoselskij and Mann iterations for Zamfirescu operators.

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