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Abstract
We study the convergence of iterates of quadratic stochastic operators that are mean monotonic. They are defined on the convex set of probability measures concentrated on a weakly compact order interval S = [0, f] of a fixed Banach lattice F. We study their regularity and identify the limits of trajectories either as the “infimum” or “supremum” of the support of initial distributions.
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- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s11117-017-0522-9
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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POSITIVITY
no. 22,
edition 2,
pages 477 - 492,
ISSN: 1385-1292 - Language:
- English
- Publication year:
- 2018
- Bibliographic description:
- Badocha M., Bartoszek W.: Quadratic stochastic operators on Banach lattices// POSITIVITY. -Vol. 22, iss. 2 (2018), s.477-492
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s11117-017-0522-9
- Verified by:
- Gdańsk University of Technology
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