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

被引：3

作者：

Song, Yisheng ^{[1
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

来源：

POSITIVITY | 2009年 / 13卷 / 04期

关键词：

Lipschitz Pseudocontractions; Viscosity approximations; Strong convergence; uniformly Gateaux differentiable norm; PSEUDO-CONTRACTIVE MAPPINGS; IMPLICIT ITERATION PROCESS; SMOOTH BANACH-SPACES; FIXED-POINTS; ACCRETIVE-OPERATORS; NONEXPANSIVE-MAPPINGS; HILBERT-SPACE; THEOREMS; MAPS; FAMILY;

D O I：

10.1007/s11117-008-2246-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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(n)f(x(n)) + beta(n)Tx(n), where f is a Lipschitz strong pseudocontractive mapping and {beta(n)}, {alpha(n)} satisfy lim(n ->infinity) alpha(n) = 0; (ii) Sigma(infinity)(n=1) alpha(n) = infinity; (iii) lim(n ->infinity) beta(2)(n)/alpha(n) = 0.

引用

页码：643 / 655

页数：13

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