Convergence theorems for fixed point problems and variational inequality problems in Hilbert spaces

被引：11

作者：

Yao, Yonghong ^{[1
]}

Liou, Yeong-Cheng ^{[2
]}

Chen, Rudong ^{[1
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China

[2] Cheng Shiu Univ, Dept Informat Management, Kaohsiung 833, Taiwan

来源：

MATHEMATISCHE NACHRICHTEN | 2009年 / 282卷 / 12期

关键词：

Fixed point; monotone mapping; variational inequality; strong convergence; Hilbert space; NONEXPANSIVE-MAPPINGS; MONOTONE-OPERATORS;

D O I：

10.1002/mana.200610817

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an alpha-inverse strongly monotone mapping in a Hilbert space. We show that the sequence converges strongly to a common element of two sets under some mild conditions on parameters. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1827 / 1835

页数：9

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