Conference proceeding
Systems of random iterative continuous mappings with a common fixed point
Proceedings of the 28th IEEE Conference on Decision and Control, pp 872-877 vol.1
1989
Abstract
A study is made of systems of Lipschitz-continuous mappings which are applied successively on an initial point x/sub 0/ in a closed nonempty complete metric space. All mappings possess the same fixed point x*, and are applied at random with repetitions by choosing a mapping from a finite set of such functions. A lower bound is found on the probability that the system's state after n iterations, x/sub n/, is within a rho -neighborhood of the common fixed point, x*. Conditions are developed that guarantee that the lower bound is (eventually) monotonically increasing in n.< >
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Details
- Title
- Systems of random iterative continuous mappings with a common fixed point
- Creators
- W Chang - Drexel UniversityM Kam - Drexel UniversityIEEE
- Publication Details
- Proceedings of the 28th IEEE Conference on Decision and Control, pp 872-877 vol.1
- Publisher
- IEEE
- Resource Type
- Conference proceeding
- Language
- English
- Web of Science ID
- WOS:A1989BP96Z00184
- Other Identifier
- 991019346722004721
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Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Engineering, Electrical & Electronic
- Mathematics, Applied