Banach空间中可数拟-φ-非扩张映像族的公共不动点的收敛定理  

Convergence Theorems of Common Fixed Points for a Countable Infinite Family of Quasi-φ-Nonexpansive Mappings in Banach Spaces

作　　者：周海云[1] 马丙坤[2] 

机构地区：[1]石家庄军械工程学院应用数学研究所,石家庄050003 [2]石家庄军械工程学院数学系,石家庄050003

出　　处：《数学年刊（A辑）》2010年第5期565-570,共6页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.10771050)资助的项目

摘　　要：在某些Banach空间中针对一类闭的拟-φ-非扩张映像的可数无限族,修正经典的正规Mann迭代算法以达到强收敛的目标,所得结果改进并扩展了Matsushita和Takahashi等人的相关结果.The purpose of this paper is to modify the normal Mann＇s iterative algorithm to have the strong convergence for a countable infinite family of closed and quasi-φ-nonexpansive mappings in the framework of certain Banach spaces.The results improve and extend the corresponding ones announced by Matsushita and Takahashi and others.

关 键 词：收敛定理 修正的杂交算法 公共不动点 

分 类 号：O177.91[理学—数学]