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

作　　者：胡绍涛 蔡钢 HU Shaotao;CAI Gang(School of Mathematical Sciences,Chongqing Normal University, 401331, Chongqing, China)

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《北京师范大学学报（自然科学版）》2018年第2期157-164,共8页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11401063);重庆市自然科学基金资助项目(cstc2017jcyjAX0006);重庆市教委科技资助项目(KJ1703041)

摘　　要：在Banach空间中介绍了一种新的迭代算法,找到了2个关于逆强增生算子的变分不等式问题的解集和无限个严格伪压缩映射的公共不动点集的一公共元.所得结果改进和推广了许多最新结果.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 

分 类 号：O177.2[理学—数学]