Reconsiderations on the Equivalence of Convergence between Mann and Ishikawa Iterations for Asymptotically Pseudocontractive Mappings

Haizhen Sun and Zhiqun Xue

Journal of Applied Mathematics, 2013, vol. 2013, 1-5

Abstract:

Our aim in this paper is to illustrate that the proof of main theorem of Rhoades and Şoltuz (2003) concerning the equivalence between the convergences of Ishikawa and Mann iterations for uniformly -Lipschitzian asymptotically pseudocontractive maps is incorrect and to provide its correct version.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:274931

DOI: 10.1155/2013/274931

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