Banach空间中两个多值非扩张映射不动点的迭代逼近问题  

Iterative Approximation Problem of Fixed Point for two Multivalued Nonexpansive Mappings in Banach Space

作　　者：周银英[1] 曹建涛[1] 

机构地区：[1]廊坊师范学院数学与信息科学学院,河北廊坊065000

出　　处：《数学的实践与认识》2014年第17期253-258,共6页Mathematics in Practice and Theory

基　　金：河北省教育厅资助项目(2011169);廊坊师范学院资助项目(LSZY201307)

摘　　要：研究了两个多值非扩张映射的公共不动点的迭代逼近问题.利用Hausdoff度量,引入了一类新的Ischikawa型迭代,在一致凸的Banach空间里,证明了在某些条件下,此迭代序列强收敛到多值非扩张映射的公共不动点.改进和推广了文献的相关结果.The purpose of this paper is the use of Hausdoff metric to study the common fixed points of two multivalued mappings, we construct a new class of Ishikawa iterative schemes to approximate common fixed points of two multivalued mappings in a real uniformly convex Banach space and establish strong convergence theorems under some conditions. These improve and extend some corresponding results in.

关 键 词：多值非扩张映射 不动点 迭代算法 强收敛 

分 类 号：O177.91[理学—数学]