A generalization of the monotonicity condition and applications
β Scribed by D. S. Yu; S. P. Zhou
- Publisher
- Akadmiai Kiad
- Year
- 2007
- Tongue
- English
- Weight
- 343 KB
- Volume
- 115
- Category
- Article
- ISSN
- 1588-2632
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## Abstract In this paper we investigate properties of the general monotone sequences and functions, a generalization of monotone sequences and functions as well as of those of bounded variation. Some applications to various problems of analysis are given. Β© 2011 WILEYβVCH Verlag GmbH & Co. KGaA, W
A well-known result in the theory of binary relations states that a binary relation has a complete and transitive extension if and only if it is consistent ([Suzumura K., 1976. Remarks on the theory of collective choice, Economica 43, 381-390], Theorem 3). A relation is consistent if the elements in