Strong convergence theorems for a new iterative method of k-strictly pseudo-contractive mappings in Hilbert spaces

被引：1

作者：

Inchan, Issara ^{[1
]}

机构：

[1] Uttaradit Rajabhat Univ, Dept Math & Comp, Uttaradit 53000, Thailand

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 07期

关键词：

Strongly bounded linear operator; Variational inequality; k-strictly pseudo-contractive mappings; VISCOSITY APPROXIMATION METHODS; FIXED-POINT PROBLEMS; NONEXPANSIVE-MAPPINGS; NONLINEAR MAPPINGS;

D O I：

10.1016/j.camwa.2009.07.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new iterative method of a k-strictly pseudo-contractive mapping for some 0 <= k <= 1 and prove that the sequence {X(n)} converges strongly to a fixed point of T, which solves a variational inequality related to the linear operator A. Our results have extended and improved the corresponding results of Y.J. Cho, S.M. Kang and X. Qin [Some results on k-strictly pseudo-con tractive mappings in Hilbert spaces, Nonlinear Anal. 70 (2008) 1956-1964], and many others. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1397 / 1407

页数：11

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