北京师范大学学报(自然科学版)2018,Vol.54Issue(2):157-164,8.DOI:10.16360/j.cnki.jbnuns.2018.02.002
Banach空间中关于广义变分不等式问题和不动点问题的一种新的迭代算法
A new iterative method for solving generalized variational inequality problems and fixed point problems in Banach spaces
摘要
Abstract
In this paper,we introduce a new iterative algorithm to find common element in solutions of general variational inequality for two inverse-strongly accretive operators and common fixed points in an infinite family of strict pseudocontractive mappings in Banach spaces. Strong convergence theorems are obtained under suitable conditions. The results in this paper improve and extend recent results announced by many others.关键词
强收敛/变分不等式/不动点/Banach空间Key words
strong convergence/variational inequality/fixed point/Banach space分类
数理科学引用本文复制引用
胡绍涛,蔡钢..Banach空间中关于广义变分不等式问题和不动点问题的一种新的迭代算法[J].北京师范大学学报(自然科学版),2018,54(2):157-164,8.基金项目
国家自然科学基金资助项目(11401063) (11401063)
重庆市自然科学基金资助项目(cstc2017jcyjAX0006) (cstc2017jcyjAX0006)
重庆市教委科技资助项目(KJ1703041) (KJ1703041)