• Title/Summary/Keyword: weakly continuous normalized duality mapping

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STRONG CONVERGENCE THEOREMS BY VISCOSITY APPROXIMATION METHODS FOR ACCRETIVE MAPPINGS AND NONEXPANSIVE MAPPINGS

  • Chang, Shih-Sen;Lee, H.W. Joseph;Chan, Chi Kin
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.59-68
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    • 2009
  • In this paper we present an iterative scheme for finding a common element of the set of zero points of accretive mappings and the set of fixed points of nonexpansive mappings in Banach spaces. By using viscosity approximation methods and under suitable conditions, some strong convergence theorems for approximating to this common elements are proved. The results presented in the paper improve and extend the corresponding results of Kim and Xu [Nonlinear Anal. TMA 61 (2005), 51-60], Xu [J. Math. Anal. Appl., 314 (2006), 631-643] and some others.

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