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希尔伯特空间中的广义松弛余强制变分不等式体系及带误差的三步投影方法
引用本文:彭再云,雷鸣,汪达成,曾波.希尔伯特空间中的广义松弛余强制变分不等式体系及带误差的三步投影方法[J].四川师范大学学报(自然科学版),2009,32(2).
作者姓名:彭再云  雷鸣  汪达成  曾波
作者单位:1. 重庆交通大学,理学院数学与应用数学研究所,重庆,400074
2. 重庆工商大学,商务策划学院,重庆,400067
基金项目:重庆市自然科学基金,重庆市科委科技项目,重庆市高等教育基金 
摘    要:给出了希尔伯特空间H中一类带误差的三步投影方法,借助投影方法的收敛性证明了由该算法生成的迭代序列强收敛于此类广义松弛余强制变分不等式体系问题的精确解,并推广了最近文献的一些主要结果.

关 键 词:松弛余强制非线性变分不等式  带误差的二步投影方法  松弛映象  投影方法的收敛性

Generalized System for Relaxed Cocoercive Variational Inequalities and Three-step Projection Methods in Hilbert Space
PENG Zai-yun,LEI Ming,WANG Da-cheng,ZENG Bo.Generalized System for Relaxed Cocoercive Variational Inequalities and Three-step Projection Methods in Hilbert Space[J].Journal of Sichuan Normal University(Natural Science),2009,32(2).
Authors:PENG Zai-yun  LEI Ming  WANG Da-cheng  ZENG Bo
Institution:1.Institute of Mathematics;College of Science;Chongqing Jiaotong University;Chongqing 400074;2.College of Srategical Planning;Chongqing Technology and Business University;Chongqing 400067
Abstract:In this paper,a class of three-step projection methods with errors is given in Hilbert spaces.Based on tte convergence of projection methods,it is proved that the iterative sequence generated by the algorithm is strongly converged to the exact solution for generalized system of relaxed cocoercive variational inequalities.The result obtained in this paper is a generalization of some main results in recent refernces.
Keywords:Relaxed cocoercive nonlinear variational inequalities  Three-step projection methods with errors  Relaxed mappings  Convergence of projection methods  
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