一致L-Lipschitz渐近Φ-半压缩映像不动点迭代逼近的充要条件  

The sufficient and necessary condition of iterative approximation to the fixed points of uniformly L-Lipschitzian asymptotically Φ-hemi-contractive mappings

作　　者：冉凯[1] 

机构地区：[1]西安文理学院数学系,陕西西安710065

出　　处：《纺织高校基础科学学报》2011年第4期521-524,529,共5页Basic Sciences Journal of Textile Universities

基　　金：陕西省教育厅科学研究计划项目(09JK708)

摘　　要：在任意实Banach空间中,讨论一致L-Lipschitz渐近Φ-半压缩映像不动点的Ishikawa迭代逼近问题.利用一致L-Lipschitz有关不等式及新的分析方法,得到了具误差的修正的Ishika-wa迭代序列逼近渐近Φ-半压缩映像不动点的充要条件,改进推广了一些文献的相关结论.The problem of iterative approximation to the fixed points of uniformly L-Lipschitzian asymptotically Φ-hemi-contractive mappings are discussed in arbitrary Banach space.By using corresponding inequality of uniformly L-Lipschitzian and new analysis methods,a sufficient and necessary condition of modified Ishikawa iterative sequence with error approximation asymptotically Φ-hemi-contractive mappings is obtained,and some related conclusions are improved and generalized.

关 键 词：一致L-LIPSCHITZ 渐近Φ-半压缩映像 不动点 迭代序列 

分 类 号：O177.91[理学—数学]