A scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mapping

被引：4

作者：

Alghamdi, Mohammed Ali ^{[1
]}

Shahzad, Naseer ^{[1
]}

Zegeye, Habtu ^{[2
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Operator Theory & Applicat Res Grp, Jeddah 21589, Saudi Arabia

[2] Univ Botswana, Dept Math, Gaborone 00704, Botswana

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

fixed points of mappings; monotone mappings; pseudocontractive mappings; strong convergence; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; ITERATIVE METHODS; FAMILY;

D O I：

10.1186/s13660-015-0804-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce an iterative process which converges strongly to a common point of the solution set of a variational inequality problem for a Lipschitzian monotone mapping and the fixed point set of a continuous pseudocontractive mapping in Hilbert spaces. In addition, a numerical example which supports our main result is presented. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.

引用

页数：15

共 30 条

[1] CONSTRUCTION OF FIXED POINTS OF NONLINEAR MAPPINGS IN HILBERT SPACE [J].