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STABILITY OF AN <i>l</i>-VARIABLE CUBIC FUNCTIONALopen accessSTABILITY OF AN l-VARIABLE CUBIC FUNCTIONAL EQUATION
- Other Titles
- STABILITY OF AN l-VARIABLE CUBIC FUNCTIONAL EQUATION
- Issue Date
- Dec-2023
- Publisher
- University of Kragujevac, Faculty of Science
- Keywords
- Cubic functional equation; fixed point; Hyers-Ulam stability; random normed space
- Citation
- Kragujevac Journal of Mathematics, v.47, no.6, pp 851 - 864
- Pages
- 14
- Indexed
- SCOPUS
ESCI
- Journal Title
- Kragujevac Journal of Mathematics
- Volume
- 47
- Number
- 6
- Start Page
- 851
- End Page
- 864
- ISSN
- 1450-9628
1450-9628
- Abstract
- Using the direct and fixed point methods, we obtain the solution and prove the Hyers-Ulam stability of the l-variable cubic functional equation f(Sigma(l)(i=1) x(i)) + Sigma(l)(j=1) f (-lx(j) + Sigma(l)(i=1i not equal j) x(i)) = - 2(l + 1) Sigma(i=1),(l)(i not equal j not equal k) f(x(i) + x(j) + x(k)) + (3l(2) - 2l - 5) Sigma(i=1),(l)(i not equal j) f(x(i) + x(j)) - 3(l(3) - l(2) - l + 1) Sigma(l)(i=1) f(x(i)), l is an element of N, l >= 3, in random normed spaces.
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