文献类型：期刊文献

英文题名：A NONLINEAR ERGODIC THEOREM FOR ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS

作者：TAN, KK; XU, HK

机构：[1]DALHOUSIE UNIV,DEPT MATH STAT & COMP SCI,HALIFAX B3H 3J5,NS,CANADA;[2]E CHINA UNIV CHEM TECHNOL,INST APPL MATH,SHANGHAI 200237,PEOPLES R CHINA

年份：1992

卷号：45

期号：1

起止页码：25

外文期刊名：BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY

收录：;WOS:【SCI-EXPANDED(收录号:WOS:A1992HD75900003)】；

语种：英文

摘要：Let X be a real uniformly convex Banach space satisfying the Opial's condition, C a bounded closed convex subset of X, and T: C --> C an asymptotically non-expansive mapping. Then we show that for each x in C, the sequence {T(n)x} almost converges weakly to a fixed point y of T, that is, [GRAPHICS] This implies that {T(n)x} converges weakly to y if and only if T is weakly asymptotically regular at x, that is, weak- [GRAPHICS] We also present a weak convergence theorem for asymptotically nonexpansive semigroups.