有限族严格伪压缩映象公共不动点的强收敛定理  

Strong Convergence Theorems of Common Fixed Points for a Finite Family of Strictly Pseudocontractive Mappings

作　　者：张树义[1] 丛培根 林媛[1] ZHANG Shuyi;CONG Peigen;LIN Yuan(College of Mathematics and Physics,Bohai University,Jinzhou 121013 China)

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《西华大学学报（自然科学版）》2018年第1期39-45,共7页Journal of Xihua University:Natural Science Edition

基　　金：国家自然科学基金(11371070)

摘　　要：在赋范线性空间使用条件(A'),研究一族Browder-Petryshyn型严格伪压缩映象公共不动点带误差的合成隐式迭代序列的收敛性。本文建立了严格伪压缩映象公共不动点的合成隐式迭代序列的强收敛定理,获得的结果改进并推广了现有文献中的相应结果。The purpose of this research work is to study convergence of composite implicit iteration sequences with errors for a finite family of strictly pseudo-contractive mappings of Browder-Petryshyn type in normed linear spaces by using the condition(A′).Strong convergence theorems of composite implicit iteration sequences for a finite family of strictly pseudo-contractive mappings of Browder-Petryshyn type are established.The obtained results improve and extend the corresponding results of some reference.

关 键 词：严格伪压缩映象 合成隐式迭代序列 条件(A′) 公共不动点 

分 类 号：O177.91[理学—数学]