A Nonlinear Extension of the Coale–Lopez Theorem

A Nonlinear Extension of the Coale–Lopez Theorem For a sequence (T n)nof nonlinear positive operators on a real Banach space, certain monotonicity conditions are specified under which asymptotic equality holds for the inhomogeneous iterates T n ∘ T n-1 ∘ $$ \cdots $$ ∘ T 1 ∘ T 0. As a consequence, weak ergodicity or even path stability holds in the norm-topology. Finally, a nonlinear extension of the Coale–Lopez theorem in demography is shown. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

A Nonlinear Extension of the Coale–Lopez Theorem

Positivity , Volume 3 (2) – Sep 28, 2004
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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 1999 by Kluwer Academic Publishers
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1023/A:1009763124229
Publisher site
See Article on Publisher Site

Abstract

For a sequence (T n)nof nonlinear positive operators on a real Banach space, certain monotonicity conditions are specified under which asymptotic equality holds for the inhomogeneous iterates T n ∘ T n-1 ∘ $$ \cdots $$ ∘ T 1 ∘ T 0. As a consequence, weak ergodicity or even path stability holds in the norm-topology. Finally, a nonlinear extension of the Coale–Lopez theorem in demography is shown.

Journal

PositivitySpringer Journals

Published: Sep 28, 2004

References

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