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  • Research Article
  • Open Access

Strong Convergence of Iterative Schemes for Zeros of Accretive Operators in Reflexive Banach Spaces

Fixed Point Theory and Applications20102010:103465

https://doi.org/10.1155/2010/103465

  • Received: 6 August 2009
  • Accepted: 11 January 2010
  • Published:

Abstract

We introduce composite iterative schemes by the viscosity iteration method for finding a zero of an accretive operator in reflexive Banach spaces. Then, under certain differen control conditions, we establish strong convergence theorems on the composite iterative schemes. The main theorems improve and develop the recent corresponding results of Aoyama et al. (2007), Chen and Zhu (2006, 2008), Jung (2010), Kim and Xu (2005), Qin and Su (2007) and Xu (2006) as well as Benavides et al. (2003), Kamimura and Takahashi (2000), Maingé (2006), and Nakajo (2006).

Keywords

  • Banach Space
  • Differential Geometry
  • Convergence Theorem
  • Iteration Method
  • Strong Convergence

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Authors’ Affiliations

(1)
Department of Mathematics, Dong-A University, Busan, 604-714, South Korea

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