摘要
参照Banach压缩映照原理,合理引进了一涉及有限族渐近半伪压缩映射的具误差的合成隐迭代序列.在一致凸Banach空间中,研究该合成隐迭代序列的强收敛性,得到了具误差的合成隐迭代序列强收敛于有限族渐近半伪压缩的公共不动点的充要条件.
In this paper,a new composite implicit iterative scheme with errors for a finite family of asymptotically hemi-pseudocontractive mappings is reasonably introduced in view of the Banach’s contraction principle.The purpose of this paper is to study strong convergence of the composite implicit iterative scheme for a family of asymptotically hemi-pseudocontractive mappings in the uniformly convex Banach space,and some necessary and sufficient conditions for the strong convergence of this iterative scheme to a common fixed point of these mappings are obtained.
作者
刘涌泉
饶永生
LIU Yong-quan;RAO Yong-sheng(Normal School,Ji'an Vocational and Technical College,Ji'an Jiangxi 343000,China;Institute of Computational Science and Technology,Guangzhou University,Guangzhou 510006,China;School of Mathematics and Big Data,Guizhou Normal College,Gulyang 550018,China)
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2018年第12期112-119,共8页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金项目(11701118)
2016年度贵州省科技平台及人才团队专项资金项目(黔科合平台人才[2016]5609)
2016年贵州省省级重点支持学科“计算机应用技术”项目(黔学位合字ZDXK[2016]20号)
吉安职业技术学院教研项目(16JY135)
关键词
渐近半伪压缩映射
一致凸BANACH空间
公共不动点
合成隐迭代序列
强收敛
asymptotically hemi-pseudocontractive mapping
uniformly convex Banach space
common fixed point
composite implicit iterative scheme
strong convergence
