Strong convergence of viscosity approximation methods with strong pseudocontraction for Lipschitz pseudocontractive mappings期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Strong convergence of viscosity approximation methods with strong pseudocontraction for Lipschitz pseudocontractive mappings

Authors:

Yisheng Song

Institution:

(1) College of Mathematics and Information Science, Henan Normal University, XinXiang, 453007, P.R. China

Abstract:

In this paper, for a Lipschitz pseudocontractive mapping T, we study the strong convergence of iterative schemes generated by

$x_{n+1} = (1-\alpha_n-\beta_n)x_n+\alpha_nf(x_n)+\beta_nTx_n$

, where f is a Lipschitz strong pseudocontractive mapping and {β_n}, {α_n} satisfy (i) $\lim\limits_{n\to\infty}\alpha_n = 0$ ; (ii) $\sum\limits_{n=1}^\infty \alpha_n = \infty$ ; (iii) $\lim\limits_{n\to\infty}\frac{\beta_n^2}{\alpha_n} = 0$ .

Keywords:

Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 47H06 47J05 47J25 47H10 47H17

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