Abstract
The purpose of this paper is to prove the strong convergence of the sequence {x n } generated by (1.5) to a common zero of a finite family of accretive operators in a strictly convex and reflexive Banach space having a uniformly Gâteaux differentiable norm under certain conditions on the control parameters {α n },{β n },{γ n },{δ n } and {r n }. Next, we study the viscosity approximation method with weakly contractive mappings for finding a common zero of a finite family of accretive operators. The results presented in this paper improve and extend the recent ones by Aoyama et al. [3], Jung [6], Zegeye and Shahzad [7], Hu and Liu [9] and many others.
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Zhang, H., Su, Y., Kang, J. (2010). Strong Convergence of Composite Iterative Schemes for Common Zeros of a Finite Family of Accretive Operators. In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds) Information Computing and Applications. ICICA 2010. Communications in Computer and Information Science, vol 106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16339-5_57
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DOI: https://doi.org/10.1007/978-3-642-16339-5_57
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