相对φ强伪压缩算子不动点的迭代逼近  

Iterative Approximation of Fixed Points for RelativelyφStrongly Pseudocontractive Operators

作　　者：张树义[1] 张芯语 聂辉 ZHANG Shu-yi;ZHANG Xin-yu;NIE Hui(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：《数学的实践与认识》2020年第6期283-287,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11371070);渤海大学研究生创新基金项目(YJC20170036)

摘　　要：在没有任何有界以及迭代参数列不必收敛于零等条件下,使用新的分析方法建立了相对φ强伪压缩算子不动点与相对φ强增生算子方程解具误差Ishikawa迭代序列的强收敛定理,推广和改进了有关文献中的相应结果,而且还给出了收敛率的估计式.In this paper,by using a new analytical method,the strong convergence theorems of the Ishikawa iterative sequences with errors of fixed points for relativelyφstrongly pseudocontractive operators and solutions for relativelyφstrongly accretive operator equations are established without any boundedness and the iterative parameter sequence no need to converge to zero.which extend and improve the corresponding results of some reference.Furthermore,the convergence rate estimators are given.

关 键 词：有规函数 相对φ强伪压缩算子 相对φ强增生算子 具误差Ishikawa迭代序列 

分 类 号：O177.91[理学—数学]