有限个非自渐近非扩张映象公共不动点的逼近  

Approximating Common Fixed Points of a Finite Family of Nonself Asymptotically Nonexpansive Mappings

作　　者：韩秀平[1] 冯富荣[1] 潘状元[1] 

机构地区：[1]哈尔滨理工大学应用数学,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2009年第5期100-104,共5页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金资助项目(19971022)

摘　　要：本文在一致凸Banach空间下,讨论了有限个非自渐近非扩张映象对公共不动点的逼近,证明了带扰动项凸组合迭代格式的强弱收敛性.In this paper, approximating common fixed points of a finite family of nonself asymptotically nonexpansive mappings in uniformly convex Banach space is obtained, and weak and strong convergence of iterative scheme with perturbed convex combination are proved.

关 键 词：一致凸BANACH空间 渐近非扩张映象 Opial’条件 

分 类 号：O177.3[理学—数学]