Banach空间中k-渐近拟伪压缩映像不动点的迭代算法  

Iteration method for fixed points of asymptotically quasi pseudocontraction mapping in Banach spaces

作　　者：陈东青[1] 何斌[1] 刘立红[1] 

机构地区：[1]军械工程学院基础部,河北石家庄050003

出　　处：《河北大学学报（自然科学版）》2012年第2期113-117,共5页Journal of Hebei University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11071053);军械工程学院基金项目(YJJXM11003)

摘　　要：在严格拟伪压缩映像不动点的迭代算法基础上,给出了Banach空间中渐近k-拟伪压缩映像不动点的迭代算法,改进了算法,并证明了一个强收敛定理,扩展了已知的相关结果.Based on the iteration method for fixed points of quasi-strict psedo-contraction mapping, an iteration algorithm for fixed points of κ-asymptotically quasi pseudo-contraction mapping in Banach spaces is proposed, then a strong convergence theorem is proved by using the modified algorithm. The known re- lated results are extended.

关 键 词：BANACH空间 渐近k-拟伪压缩映像 广义投影算法 不动点 

分 类 号：O177.91[理学—数学]