广义逐次Φ-伪压缩映射的等价性定理(英文)  

Equivalence theorems of the convergent iterations for generalized successively Φ- pseudocontrative mappings

作　　者：李小玲[1] 孙函[1] 张毅[1] 李淑莹[1] 

机构地区：[1]南昌工程学院理学院,江西南昌330099

出　　处：《南昌工程学院学报》2014年第1期20-24,共5页Journal of Nanchang Institute of Technology

基　　金：Supported by Student Scientific Research Training Project of Nanchang Institute of Technology(No.2013)~~

摘　　要：在实一致光滑Banach空间中研究了广义逐次Φ-伪压缩映射的等价性结果.广义逐次Φ-伪压缩映射是最广的一类映射且等价性是Mann迭代和Ishikawa迭代延伸后的4种迭代的等价性,因而结论推广和改进了相关的结果.In this paper,we discuss the equivalence of four convergent iterations for generalizecl suceesslvely φ- pseuaocomratire mapping in real uniformly smooth Banach space. Our results are generalization and improvement in the sense that the generalized successively φ- pseudocontrafive mapping is of the most general class and the four iterations are extensions from the two previously discussed ones（ between Mann iteration and Ishikawa iterations）.

关 键 词：收敛程序等价性 广义逐次中一伪压缩映射 ISHIKAWA迭代 MANN迭代 

分 类 号：O177.91[理学—数学]