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

Fixed Point Theory and Applications volume 2010, Article number: 103465 (2010) Cite this article

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).

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

    JongSoo Jung

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  1. JongSoo Jung
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Correspondence to JongSoo Jung.

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Jung, J. Strong Convergence of Iterative Schemes for Zeros of Accretive Operators in Reflexive Banach Spaces. Fixed Point Theory Appl 2010, 103465 (2010). https://doi.org/10.1155/2010/103465

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