Curve-based monotonicity: a generalization of directional monotonicity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA20020W8" target="_blank" >RIV/61988987:17610/19:A20020W8 - isvavai.cz</a>
Result on the web
<a href="https://www.tandfonline.com/doi/abs/10.1080/03081079.2019.1586684?journalCode=ggen20" target="_blank" >https://www.tandfonline.com/doi/abs/10.1080/03081079.2019.1586684?journalCode=ggen20</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/03081079.2019.1586684" target="_blank" >10.1080/03081079.2019.1586684</a>

Result language
angličtina
Original language name
Curve-based monotonicity: a generalization of directional monotonicity
Original language description
In this work we propose a generalization of the notion of directional monotonicity. Instead of considering increasingness or decreasingness along rays, we allow more general paths defined by curves in the n-dimensional space. These considerations lead us to the notion of -monotonicity, where is the corresponding curve. We study several theoretical properties of -monotonicity and relate it to other notions of monotonicity, such as weak monotonicity and directional monotonicity.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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