SIMPLE PROOF OF THE MEAN ERGODIC THEOREM FOR NON-LINEAR CONTRACTIONS IN BANACH-SPACES

被引：210

作者：

BRUCK, RE

机构：

[1] Department of Mathematics, University of Southern California, Los Angeles, 90007, Calif.

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1979年 / 32卷 / 2-3期

关键词：

D O I：

10.1007/BF02764907

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The following theorem is proven:if E is a uniformly rotund Banach space with a Fréchet differentiable norm, C is a bounded nonempty closed convex subset of E, and T: C→C is a contraction, then the iterates {T nx} are weakly almost-convergent to a fixed-point of T. © 1979 The Weizmann Science Press of Israel.

引用

页码：107 / 116

页数：10