A Hybrid Method for Monotone Variational Inequalities Involving Pseudocontractions

被引：2

作者：

Yao, Yonghong ^{[2
]}

Marino, Giuseppe ^{[1
]}

Liou, Yeong-Cheng ^{[3
]}

机构：

[1] Univ Calabria, Dipartimento Matemat, I-87036 Arcavacata Di Rende, CS, Italy

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

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

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

KRASNOSELSKI-MANN ITERATION;

D O I：

10.1155/2011/180534

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use strongly pseudocontraction to regularize the following ill-posed monotone variational inequality: finding a point x* with the property x* is an element of Fix(T) such that <(I - S) x*, x - x*> >= = 0, x is an element of Fix(T) where S, T are two pseudocontractive self-mappings of a closed convex subset C of a Hilbert space with the set of fixed points Fix(T) not equal theta. Assume the solution set Omega of (VI) is nonempty. In this paper, we introduce one implicit scheme which can be used to find an element x* is an element of Omega. Our results improve and extend a recent result of (Lu et al. 2009).

引用

页数：8

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