STABILITY OF ADDITIVE-QUADRATIC $\boldsymbol\rho$-FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN INTUITIONISTIC FUZZY BANACH SPACES |
P. Saha, T. K. Samanta, P. Mondal, B. S. Choudhury |
Abstract In this paper, a Hyers-Ulam-Rassias stability result for
additive-quadratic $\rho$-functional equations is established. The
framework of the study is non-Archimedean intuitionistic fuzzy
Banach spaces. These spaces are generalizations of fuzzy Banach
spaces. Several studies of functional analysis have been extended
to this space.
|
Keywords: Hyers-Ulam stability; non-Archimedean intuitionistic fuzzy normed space; generalized metric space. |
MSC: 03E72, 97I70, 39B82, 32P05 |
Pages: 154--164 |
Volume 72
, Issue 2
, 2020
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