一类具有Lipschitz条件的非线性映象的迭代过程  

Iterative Process for Certain Nonlinear Mappings With Lipschitz Condition

作　　者：谷峰[1] 

机构地区：[1]齐齐哈尔大学数学系,黑龙江齐齐哈尔161006

出　　处：《应用数学和力学》2001年第12期1309-1316,共8页Applied Mathematics and Mechanics

摘　　要：使用新的分析技巧 ,讨论了Lipschitz_强增生算子方程的解和Lipschitz_强伪压缩映象不动点的迭代逼近问题·　改进和推广了Chang ,Chidume ,Deng_Ding ,Deng 。Using the new analysis techniques, the problem of iterative approximation of solutions of the equation for Lipschitz _strongly accretive operators and of fixed points for Lipschitz _strongly pseudo_contractive mappings are discussed. The main results of this paper improve and extend the corresponding results obtained by Chang, Chidume, Deng, Ding, Tan_Xu and Osilike.

关 键 词：Φ-强增生算子 φ-强伪压缩映象 ISHIKAWA迭代序列 Mann迭供序列 LIPSCHITZ条件 非线性映象 不动点 迭代逼近 

分 类 号：O177.91[理学—数学]