ON ASYNCHRONOUS ITERATIONS IN PARTIALLY ORDERED SPACES

被引：15

作者：

FROMMER, A ^{[1
]}

机构：

[1] UNIV KARLSRUHE,INST ANGEW MATH,W-7500 KARLSRUHE,GERMANY

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1991年 / 12卷 / 3-4期

关键词：

D O I：

10.1080/01630569108816431

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the idea of asynchronous iterations to self-mappings of product spaces with infinitely many components. In addition to giving a rather general convergence theorem we study in some detail the case of isotone and isotonically decomposable mappings in partially ordered spaces. In particular, we obtain relationships between asynchronous iterations and the total step method and results on enclosures for fixed points. They appear to be new, even for mappings defined on a product space with only finitely many components.

引用

页码：315 / 325

页数：11

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