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Weak and strong convergence of an explicit iteration scheme with perturbed mapping for nonexpansive mappings

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Abstract

In this paper, we consider an explicit iteration scheme with perturbed mapping for nonexpansive mappings in real q-uniformly smooth Banach spaces. Some weak and strong convergence theorems for this explicit iteration scheme are established. In particular, necessary and sufficient confiditions for strong convergence of this explicit iteration scheme are obtained. At last, some useful corollaries for strong convergence of this explicit iteration scheme are given.

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Authors and Affiliations

  1. Mathematics and Sciences College, Shanghai Normal University, Shanghai, 200234, China

    Wang Ya-qin

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  1. Wang Ya-qin
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Correspondence to Wang Ya-qin.

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Wang, Yq. Weak and strong convergence of an explicit iteration scheme with perturbed mapping for nonexpansive mappings. J. Zhejiang Univ. - Sci. A 8, 2032–2036 (2007). https://doi.org/10.1631/jzus.2007.A2032

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  • DOI: https://doi.org/10.1631/jzus.2007.A2032

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