有限族严格伪压缩映象隐式迭代逼近  

Implicit Iterative Approximation for a Finite Family of Strictly Pseudocontractive Mappings

作　　者：丛培根 张芯语 张树义[1] CONG Pei-gen;ZHANG Xin-yu;ZHANG Shu-yi(College of Mathematics and Physics,Bohai University,Jinzhou 121013,China)

机构地区：[1]渤海大学数理学院

出　　处：《数学的实践与认识》2018年第12期200-204,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：使用新的分析方法,在Banach空间中建立了有限族依Browder-Petryshyn意义严格伪压缩型映象带误差的隐式迭代序列的强收敛性定理,并举例说明结果的有效性.结果推广和改进了一些已知结果.In this paper, strong convergence theorems of implicit iterative process with er- rors for a finite family of strictly pseudocontractive mappings in terms of Browder-Petryshyn in real Banach spaces are established by using a new analytical method. An example is also given to illustrate the validity of the result of this paper. Our results improve and extend some known results.

关 键 词：严格伪压缩映象 带误差的隐式迭代 条件(A') 公共不动点 

分 类 号：O177[理学—数学]