Journal article
Systems of random mappings with a common fixed point
International journal of systems science, v 23(11), pp 2113-2119
01 Nov 1992
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
Mappings from a set of Lipschitz-continuous mappings are applied successively on an initial point x
0
in a complete metric space. All mappings possess the same fixed point x* and are applied at random with repetitions. A lower bound is found for the probability that the system's state after n iterations, x
n
, is within a p-neighbour-hood of the common fixed point x*. Moreover, sufficient conditions on the Lipschitz constants and on the probabilities of occurrence of the mappings which guaranteee convergence of the system's state to x* in the mean-square sense are found.
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Details
- Title
- Systems of random mappings with a common fixed point
- Creators
- MOSHE Kam - Drexel UniversityWEI Chang - Drexel UniversityCHRIS Rorres - Drexel University
- Publication Details
- International journal of systems science, v 23(11), pp 2113-2119
- Publisher
- Taylor & Francis Group
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:A1992KB36900020
- Scopus ID
- 2-s2.0-84950964385
- Other Identifier
- 991019173779204721
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- Web of Science research areas
- Automation & Control Systems
- Computer Science, Theory & Methods
- Operations Research & Management Science