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Research Article | Open | Published:

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


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).

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Correspondence to JongSoo Jung.

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