Strong convergence of a hybrid projection iterative algorithm for common solutions of operator equations and of inclusion problems

被引：15
|
作者：
Wu, Changqun [1 ]
Liu, Aichao [2 ]
机构：
[1] Henan Univ, Sch Business & Adm, Kaifeng 45000, Peoples R China
[2] Huanghuai Univ, Dept Math, Zhumadian 463000, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2012年
关键词：
fixed point; monotone operator; strict pseudocontraction; variational inequality; zero point; GENERALIZED EQUILIBRIUM PROBLEMS; VARIATIONAL INEQUALITY PROBLEM; FIXED-POINT PROBLEMS; NONEXPANSIVE-MAPPINGS; WEAK-CONVERGENCE; THEOREMS; SUMS;
D O I：
10.1186/1687-1812-2012-90
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, zero points of the sum of a maximal monotone operator and an inverse-strongly monotone mapping, solutions of a monotone variational inequality, and fixed points of a strict pseudocontraction are investigated. A hybrid projection iterative algorithm is considered for analyzing the convergence of the iterative sequences. Strong convergence theorems are established in the framework of real Hilbert spaces without any compact assumptions. Some applications of the main results are also provided. AMS Classification: 47H05; 47H09; 47J25; 90C33.
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页数：15
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