渐近伪压缩映象迭代序列收敛的等价性  

The Equivalence of Convergence of Iterative Sequences for Asymptotically Pseudocontractive Mappings

作　　者：赵美娜[1] 张树义[1] 金珩[2] 

机构地区：[1]渤海大学数理学院,辽宁锦州121013 [2]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《杭州师范大学学报（自然科学版）》2017年第6期653-658,共6页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11371070)

摘　　要：在没有任何有界的条件下,在实Banach空间中研究依中间意义渐近非扩张的渐近伪压缩映象具混合误差修正的Ishikawa和修正的Mann迭代序列收敛的等价性,推广和改进了有关文献中的相应结果.The equivalence of the convergence of modified Ishikawa and modified Mann iterative sequences with mixed errors for asymptotically nonexpanisive mappings in the intermediate sense and asymptotically pseudocontractive mappings in Banach spaces is studied without any bounded assumption, the results presented in this paper extend and improve the corresponding results in some references.

关 键 词：关键词:实Banach空间 渐近伪压缩映象 依中间意义渐近非扩张映象 具混合误差修正的Ishikawa迭代 序列 具混合误差修正的Mann迭代序列 

分 类 号：O177.91[理学—数学]