强伪压缩集值映象不动点的带误差的三重迭代逼近  

Three-steps Iterative Approximation with Errors of Fixed Points for Strongly Pseudocontractive Set-valued Mapping

作　　者：胡洪萍[1] 王琳琳[1] 夏亚荣[1] 

机构地区：[1]西安文理学院数学系,西安710065

出　　处：《西南师范大学学报（自然科学版）》2010年第3期41-45,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：西安文理学院科研资助项目(kyc200818)

摘　　要：引入集值映象的具误差的三重迭代序列,得到了Banach空间中这种迭代序列的收敛性及强收敛于强伪压缩映象不动点的条件.并运用这种迭代序列研究了强增生算子方程解逼近问题.The convergence and conditions for strong convergence to the fixed points for strongly pseudocontractive set-valued mapping have been obtained in Banach space by introduction three-steps iterative sequences with errors for the set-valued mapping.Approximation solutions of strongly accretive operator equations has been studied by using such iterative procedure.Some latest results has been improved and promoted such that application fields has been broadened.

关 键 词：BANACH空间 强伪压缩集值映象 强增生集值映象 三重迭代 不动点 

分 类 号：O177.91[理学—数学]