Optimum Approximation for zeta-Lie Homomorphisms and Jordan zeta-Lie Homomorphisms in zeta-Lie Algebras by Aggregation Control Functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F22%3A73616934" target="_blank" >RIV/61989592:15310/22:73616934 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2227-7390/10/10/1704" target="_blank" >https://www.mdpi.com/2227-7390/10/10/1704</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math10101704" target="_blank" >10.3390/math10101704</a>

Result language
angličtina
Original language name
Optimum Approximation for zeta-Lie Homomorphisms and Jordan zeta-Lie Homomorphisms in zeta-Lie Algebras by Aggregation Control Functions
Original language description
In this work, by considering a class of matrix valued fuzzy controllers and using a (kappa,zeta)-Cauchy-Jensen additive functional equation ((kappa,zeta)-CJAFE), we apply the Radu-Mihet method (RMM), which is derived from an alternative fixed point theorem, and obtain the existence of a unique solution and the H-U-R stability (Hyers-Ulam-Rassias) for the homomorphisms and Jordan homomorphisms on Lie matrix valued fuzzy algebras with zeta members (zeta-LMVFA). With regards to each theorem, we consider the aggregation function as a matrix value fuzzy control function and investigate the results obtained.
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
10101 - Pure mathematics

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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