Strong convergence of an iterative method for pseudo-contractive and monotone mappings

被引：0
作者：
Habtu Zegeye
Naseer Shahzad
机构：
[1] University of Botswana,Department of Mathematics
[2] King Abdul Aziz University,Department of Mathematics
来源：
Journal of Global Optimization | 2012年 / 54卷
关键词：
Monotone mappings; Nonexpansive mappings; Pseudocontractive mappings; 47H05; 47J05; 47J25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce an iterative process which converges strongly to a common element of fixed points of pseudo-contractive mapping and solutions of variational inequality problem for monotone mapping. As a consequence, we provide an iteration scheme which converges strongly to a common element of set of fixed points of finite family continuous pseudo-contractive mappings and solutions set of finite family of variational inequality problems for continuous monotone mappings. Our theorems extend and unify most of the results that have been proved for this class of nonlinear mappings.
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页码：173 / 184
页数：11
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