关于渐近非扩张映象的强收敛定理  

Strong convergence theorems for asymptotically nonexpansive mappings

作　　者：赵良才[1] 

机构地区：[1]宜宾学院数学系,四川宜宾644000

出　　处：《纯粹数学与应用数学》2010年第3期367-375,共9页Pure and Applied Mathematics

基　　金：国家自然科学基金(10701059)

摘　　要：在具有一致正规结构且其范数是一致Gateaux可微的实Banach空间中,为寻求渐近非扩张半群的公共不动点,引入了一种新的迭代序列.在适当的条件下,用迭代逼近算法,证明了逼近于这一公共不动点的某些强收敛定理.其结果也推广和改进了引文中相应的结果.In this paper,we introduce a new iterative scheme for finding a common fixed point for a asymp-totically nonexpansive semigroup in a real Banach space with uniformly Gateaux differentiable norm possessing uniform normal structure.It is shown that under suitable conditions by the iterative approximation algorithms,some strong convergence theorems for approximating to this common fixed points are proved.The results pre-sented in this paper extend and improve the corresponding results.

关 键 词：渐近非扩张半群 范数一致Gateaux可微 一致正规结构 公共不动点 

分 类 号：O177.91[理学—数学]