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Weak and Strong Convergence of Multistep Iteration for Finite Family of Asymptotically Nonexpansive Mappings

Fixed Point Theory and Applications volume 2007, Article number: 031056 (2007) Cite this article

Abstract

Strong and weak convergence theorems for multistep iterative scheme with errors for finite family of asymptotically nonexpansive mappings are established in Banach spaces. Our results extend and improve the corresponding results of Chidume and Ali (2007), Cho et al. (2004), Khan and Fukhar-ud-din (2005), Plubtieng et al.(2006), Xu and Noor (2002), and many others.

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Authors and Affiliations

  1. School of Studies in Mathematics, Pondit Ravishankar Shukla University, Raipur, 492010, CG, India

    Balwant Singh Thakur

  2. Department of Mathematics, Dong-A University, Busan, 604-714, South Korea

    Jong Soo Jung

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  1. Balwant Singh Thakur
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  2. Jong Soo Jung
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Correspondence to Balwant Singh Thakur.

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Thakur, B.S., Jung, J.S. Weak and Strong Convergence of Multistep Iteration for Finite Family of Asymptotically Nonexpansive Mappings. Fixed Point Theory Appl 2007, 031056 (2007). https://doi.org/10.1155/2007/31056

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