A weak ergodic theorem for infinite products of Lipschitzian mappings. (30th January 2003)
- Record Type:
- Journal Article
- Title:
- A weak ergodic theorem for infinite products of Lipschitzian mappings. (30th January 2003)
- Main Title:
- A weak ergodic theorem for infinite products of Lipschitzian mappings
- Authors:
- Reich, Simeon
Zaslavski, Alexander J. - Abstract:
- Abstract : LetK be a bounded, closed, and convex subset of a Banach space. For a Lipschitzian self-mappingA ofK, we denote byLip ( A ) its Lipschitz constant. In this paper, we establish a convergence property of infinite products of Lipschitzian self-mappings ofK . We consider the set of all sequences{ A t } t = 1 ∞ of such self-mappings with the propertylim sup t → ∞ Lip ( A t ) ≤ 1 . Endowing it with an appropriate topology, we establish a weak ergodic theorem for the infinite products corresponding to generic sequences in this space.
- Is Part Of:
- Abstract and applied analysis. Volume 2003:Number 2(2003)
- Journal:
- Abstract and applied analysis
- Issue:
- Volume 2003:Number 2(2003)
- Issue Display:
- Volume 2003, Issue 2 (2003)
- Year:
- 2003
- Volume:
- 2003
- Issue:
- 2
- Issue Sort Value:
- 2003-2003-0002-0000
- Page Start:
- 67
- Page End:
- 74
- Publication Date:
- 2003-01-30
- Subjects:
- Mathematical analysis -- Periodicals
Mathematical analysis
Applied Mathematics
Mathematical Analysis
Periodicals
515.05 - Journal URLs:
- http://www.hindawi.com/journals/aaa ↗
http://ProjectEuclid.org/aaa ↗ - DOI:
- 10.1155/S1085337503206060 ↗
- Languages:
- English
- ISSNs:
- 1085-3375
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 10205.xml