Annals of Communications in Mathematics

AbstractWe establish the generalized Hyers-Ulam stability of the 4 variable quadratic functional equation in Fuzzy Normed Spaces using two different methods.

AbstractIn this work, we investigate the Hyers-Ulam stability by using direct and fixed point methods for the quartic functional equation for positive integer p ≥ 3.

AbstractIn this paper, we investigate some stability results of the following finite dimensional additive functional equation where n is the positive integer with N − {0, 1, 2} and k is the only odd positive integers, in Fuzzy Normed space using direct and fixed point approaches.

AbstractHere, we define a cube sum labeling and cube sum graph. Let G be a (p, q) graph. G is said to be a cube sum graph if there exist a bijection f : V (G) → {0, 1, . . . , p − 1} such that the induced function f ∗ : E(G) → N given by are all distinct. In this paper, we developed the concept of cube sum labeling of some family of graphs like paths, cycle, stars, wheel graph, fan graphs are discussed in this paper.

AbstractIn this work, authors investigate the generalized Hyers-Ulam stability of the 4-variable quadratic functional equation of the form

AbstractWe examine the Ulam-Hyers stability of finite variable additive functional equation in fuzzy normed space using classical methods.