On a Certain Generalized Functional Equation for Set-Valued Functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F20%3A50017644" target="_blank" >RIV/62690094:18470/20:50017644 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2227-7390/8/12/2243" target="_blank" >https://www.mdpi.com/2227-7390/8/12/2243</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math8122243" target="_blank" >10.3390/math8122243</a>

Result language
angličtina
Original language name
On a Certain Generalized Functional Equation for Set-Valued Functions
Original language description
he aim of the paper is to generalize results by Sikorska on some functional equations for set-valued functions. In the paper, a tool is described for solving a generalized type of an integral-functional equation for a set-valued function F:X -> cc(Y), where X is a real vector space and Y is a locally convex real linear metric space with an invariant metric. Most general results are described in the case of a compact topological group G equipped with the right-invariant Haar measure acting on X. Further results are found if the group G is finite or Y is Asplund space. The main results are applied to an example where X=R-2 and Y=R-n, n is an element of N, and G is the unitary group U(1).
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

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

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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