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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Path stability and nonlinear weak ergodic theorems
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by Yong-Zhuo Chen
Trans. Amer. Math. Soc. 352 (2000), 5279-5292
DOI: https://doi.org/10.1090/S0002-9947-00-02600-3
Published electronically: July 12, 2000

Abstract:

Let $\{f_{n} \}$ be a sequence of nonlinear operators. We discuss the asymptotic properties of their inhomogeneous iterates $f_{n} \circ f_{n-1} \circ \cdots \circ f_{1}$ in metric spaces, then apply the results to the ordered Banach spaces through projective metrics. Theorems on path stability and nonlinear weak ergodicity are obtained in this paper.
References
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Bibliographic Information
  • Yong-Zhuo Chen
  • Affiliation: Division of Natural Sciences, University of Pittsburgh at Bradford, Bradford, Pennsylvania 16701
  • Email: yong@imap.pitt.edu
  • Received by editor(s): June 30, 1998
  • Received by editor(s) in revised form: June 1, 1999
  • Published electronically: July 12, 2000
  • © Copyright 2000 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 352 (2000), 5279-5292
  • MSC (2000): Primary 47H07, 47H09; Secondary 47H10
  • DOI: https://doi.org/10.1090/S0002-9947-00-02600-3
  • MathSciNet review: 1707493