NONLINEAR ERGODIC-THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS IN BANACH-SPACES SATISFYING OPIAL CONDITION

被引：14

作者：

GORNICKI, J

机构：

[1] Institute of Mathematics, Pedagogical University of Rzeszów, 35-310 Rzeszów

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1991年 / 161卷 / 02期

关键词：

D O I：

10.1016/0022-247X(91)90343-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The following theorem is proven: If E is a uniformly convex Banach space satisfying Opial's condition, C is a nonempty bounded closed convex subset of E, and T: C → C is an asymptotically nonexpansive mapping then the iterates {Tnx} are weakly almost-convergent to a fixed point of T. © 1991.

引用

页码：440 / 446

页数：7

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