有限个渐近非扩张映象公共不动点的粘性迭代逼近  

Viscosity iterative sequences with errors of asymptotically nonexpansive mappings

作　　者：胡洪萍[1] 王琳琳[1] 杨小康[1] 

机构地区：[1]西安文理学院数学系,陕西西安710065

出　　处：《纺织高校基础科学学报》2012年第3期253-258,共6页Basic Sciences Journal of Textile Universities

基　　金：西安市科技计划项目(CXY1134WL05)

摘　　要：在一致光滑Banach空间框架下,得出了有限个渐近非扩张映象的具误差的迭代序列的收敛性及强收敛于其公共不动点的条件.结果更具有一般性,进而推广与发展了最新的相应结果.The convergence and conditions for strong convergence to the fixed points have been obtained for the two-steps viscosity iterative sequences with errors of asymptotically nonexpansive mappings in real Banach space by introduction of the two-steps viscosity iterative sequences with errors of asymptotically nonexpansive mappings, using error iteration and technique methods of inequality. Some latest results has been improved and promoted in this paper.

关 键 词：一致光滑BANACH空间 有限个渐近非扩张映象 具误差的粘性迭代 公共不动点 

分 类 号：O177.91[理学—数学]