STABLE INHOMOGENEOUS ITERATIONS OF NONLINEAR POSITIVE OPERATORS ON BANACH-SPACES

被引：4

作者：

FUJIMOTO, T ^{[1
]}

KRAUSE, U ^{[1
]}

机构：

[1] UNIV BREMEN,W-2800 BREMEN 33,GERMANY

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1994年 / 25卷 / 04期

关键词：

POSITIVE DISCRETE DYNAMICAL SYSTEMS; NONLINEAR POSITIVE OPERATORS; INHOMOGENEOUS ITERATIONS; STRONG ERGODICITY; HILBERTS PROJECTIVE METRIC;

D O I：

10.1137/S0036141091221651

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a sequence (f(n))n of nonlinear positive operators on a Banach space which converges to some operator f, conditions are specified under which the inhomogeneous iterates f(n) . f(n-1) . ... . f2 . f1, after normalization, converge to the unique positive and normalized eigenvector of f. This stability result extends, for discrete dynamical systems, the property of strong ergodicity from finite to infinite dimensions.

引用

页码：1195 / 1202

页数：8

共 7 条

[1] ASYMPTOTIC PROPERTIES FOR INHOMOGENEOUS ITERATIONS OF NONLINEAR OPERATORS [J].