Contraction and Dilation Operators in a Semilinear Space over Residuated Lattice
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F08%3AA0800Q9F" target="_blank" >RIV/61988987:17610/08:A0800Q9F - isvavai.cz</a>
Alternative codes found
RIV/61988987:17610/08:A1000Q9F
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Contraction and Dilation Operators in a Semilinear Space over Residuated Lattice
Original language description
The notion of a semilinear space over residuated lattice is introduced. Two problems of solvability of systems of linear-like equations with sup-* or inf--> compositions are considered in a finite semilinear space. We prove that each system of equationsis solvable if and only if its right-hand side is a fixed point of the respective contraction or dilation operator. Sets of fixed points are characterized as subsemimodules over respective reducts of the residuated l-monoid.
Czech name
Operátory kontrakce a dilatace v semilineárním prostoru na reziduovaným svazem
Czech description
Je zaveden pojem semilineárního prostoru nad reziduovaným svazem a uvaýovány dva problémy řešitelnosti v konečném semilineárním prostoru.
Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
IPMU 08 Proceedings
ISBN
978-84-612-3061-7
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
1022-1029
Publisher name
University of Malaga
Place of publication
Malaga
Event location
Torremolinos (Málaga)
Event date
Jun 22, 2008
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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