多值φ-强伪压缩映像不动点的迭代逼近  

Ishikawa Iterative Approximation of Fixed Points for Multi——valued φ-Strongly Pseudo-Contract 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：《西安文理学院学报（自然科学版）》2011年第2期42-45,共4页Journal of Xi’an University(Natural Science Edition)

基　　金：陕西省教育厅科学研究计划项目(09jk708)

摘　　要：在一致光滑的实Banach空间中,研究多值φ-强伪压缩映像不动点的Ishikawa迭代逼近问题.给出了具误差的Ishikawa迭代序列逼近多值φ-强伪压缩映像不动点的强收敛定理,并得到了具误差的Ishikawa迭代序列逼近多值φ-强增生映像方程解的强收敛定理,改进了近期一些文献的相关结论.In this paper,we investigative Ishikawa iterative approximation problem of fixed points for multi-valued φ-strongly pseudo-contract mappings in the uniformly smooth Banach spaces.we obtain the strong convergence theorem of Ishikawa iterative sequence with error approximation multi—valued φ-strongly pseudo-contract mappings,and obtain some strong convergence theorems of Ishikawa iterative with error approximation of solutions for multi-valued φ-strongly accretive,The results of was extended.

关 键 词：φ-强伪压缩映像 φ-强增生映像 不动点 迭代序列 

分 类 号：O177.91[理学—数学]