GENERALIZED STABILITY OF CUBIC FUNCTIONAL EQUATIONS WITH AN AUTOMORPHISM ON A QUASI-β NORMED SPACE.

Authors :: DONGSEUNG KANG
KIM, HOEWOON B.
Source :: Journal of Computational Analysis & Applications. Jul2019, Vol. 27 Issue 1, p235-246. 12p.
Publication Year :: 2019
Abstract: We introduce a generalized cubic functional equation with an automorphism and investigate the generalized stability of the cubic functions as solutions to the generalized cubic functional equation on a quasi-β Banach space by the fixed point of the alternative method. [ABSTRACT FROM AUTHOR]

Subjects :: *FUNCTIONAL equations
*AUTOMORPHISMS
*AUTOMORPHISM groups
*BANACH spaces
*FIXED point theory

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