In this paper, we introduce a square root functional equation anda 3rd root functional equation. Using fixed point methods, we prove the HyersUlamstability of the square root functional equation and of the 3rd root functionalequation in Calgebras.
. In this paper, we introduce and solve the following quadratic ( ρ 1 , ρ 2 )-functional inequality in fuzzy normed spaces, where ρ 1 and ρ 2 are fixed nonzero real numbers with 1 4 | 1 | + 1 4 | ρ 2 | < 1, and f (0) = 0. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic ( ρ 1 , ρ 2 )-functional inequality (0.1) in fuzzy Banach spaces.
In this paper, we introduce a mixed type finite variable functional equation deriving from quadratic and additive functions and obtain the general solution of the functional equation and investigate the Hyers-Ulam stability for the functional equation in quasi-Banach spaces.
In this paper we explore the interrelations between rough set theory and group theory. To this end, we first define a topological rough group homomorphism and its kernel. Moreover, we introduce rough action and topological rough group homeomorphisms, providing several examples. Next, we combine these two notions in order to define topological rough homogeneous spaces, discussing results concerning open subsets in topological rough groups.
