Banach空间多值Φ-强伪压缩映像不动点的迭代逼近  

Iterative Approximation of Fixed Points for Multivalued Φ-strongly Pseudo-contractive Mappings in Banach Spaces

作　　者：刘丽莉[1] 师涌江[1] 刘桂霞[1] 

机构地区：[1]河北建筑工程学院数学物理系,河北张家口075024

出　　处：《河北师范大学学报（自然科学版）》2006年第1期10-12,24,共4页Journal of Hebei Normal University：Natural Science

基　　金：河北省自然科学基金资助项目(197061)

摘　　要：在一般Banach空间中,利用多值映像一致连续的性质,研究了多值Φ强伪压缩映像不动点的具误差的Ishikawa及Mann迭代逼近问题,得出了Ishikawa,Mann迭代序列强收敛的一个充分条件.由于单值映像是多值映像的特殊情况,故该结果改进和推广了近期相关结果.By using property of uniform continuity of multi-valued mappings, Ishikawa and Mann iterative sequences fixed points for multi-valued Ф-strongly pseudo-contractive mappings with errors in general Banach spaces are studied. Some sufficient conditions of strongly convergence theorems of Ishikawa and Mann iterative sequences with errors are given. Because single-valued mappings are the special cases of multi-valued, main results presented improve and extend relevant results of reference literature.

关 键 词：多值Ф-强伪压缩映像 具谩差的Ishikawa迭代序列 具谩差的Mann迭代序列 

分 类 号：O177.91[理学—数学]