渐近伪压缩型映象不动点的迭代逼近  

Iterative Approximations of Fixed Points for Asymptotically Pseudocontractive Type Mappings

作　　者：赵美娜[1] 张树义[1] 赵亚莉[1] 

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《数学的实践与认识》2016年第15期264-268,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11371070)

摘　　要：在赋范空间中引入有限族渐近伪压缩型映象,在较弱条件下,在赋范空间中建立了有限族渐近伪压缩型映象不动点的带误差的迭代算法的一个强收敛定理.也给出几个例子说明结果的有效性与广泛性,从而改进和推广了Rafiq和其他人的结果.In this paper,we introduce a finite family asymptotically pseudocontractive type mappings in real normed linear spaces.A strong convergence theorem of iterative algorithms with errors for a finite family asymptotically pseudocontractive type mappings in normed linear spaces is established under weaker conditions.Several examples are also given to show the validity and universality of the result presented in this paper,which improve and extend some results obtained by Rafiq and others.

关 键 词：赋范线性空间 渐近的压缩型映象 带误差的迭代算法 

分 类 号：O177.91[理学—数学]