MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
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.

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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