有限多个集值映象公共不动点的修正的Mann迭代程序  

On the modified mann iterative procedure for finding common fixed points of finitely many set-valued mappings

作　　者：金燕群[1] 曾六川[1] 

机构地区：[1]上海师范大学数理信息学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2008年第2期131-136,共6页Journal of Shanghai Normal University(Natural Sciences)

基　　金：国家自然科学基金(10771141)

摘　　要：研究用于寻求有限多个集值似Φ-伪压缩映象公共不动点的修正的Mann迭代程序.在似广义Lipschitzian条件下证明了分别在Hilbert空间与一致光滑Banach空间中由修正的Mann迭代程序生成的序列强收敛到这有限多个集值似Φ-伪压缩映象唯一的公共不动点.We study the modified Mann iterative procedure for finding common fixed points of finitely many set-valued Ф-pseudo- contractive-like mappings. It is shown that under the generalized-Lipschitzian-like condition the sequence generated by the modified Mann iterative procedure converges strongly to the unique common fixed point of these finitely many set-valued Ф -pseudocontractive-like mappings in a Hilbert space and in a uniformly smooth Banach space, respectively.

关 键 词：修正的Mann迭代程序 集值似Ф-伪压缩映象 公共不动点 似广义Lipschitzian条件 强收敛性 

分 类 号：O177.91[理学—数学]