• Title/Summary/Keyword: uniformly Holder continuous

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STRONG CONVERGENCE FOR THREE CLASSES OF UNIFORMLY EQUI-CONTINUOUS AND ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS

  • Qin, Xiaolong;Su, Yongfu;Shang, Meijuan
    • Journal of the Korean Mathematical Society
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    • v.45 no.1
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    • pp.29-40
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    • 2008
  • In this paper, we introduce a modified three-step iteration scheme with errors for three classes of uniformly equi-continuous and asymptotically quasi-nonexpansive mappings in the framework of uniformly convex Banach spaces. We then use this scheme to approximate a common fixed point of these mappings. The results obtained in this paper extend and improve the recent ones announced by Khan, Fukhar-ud-di, Zhou, Cho, Noor and some others.