Home 9 Author: V. Govindan
V. Govindan
Open AccessArticle

Generalized U-H stability of cubic mappings

Annals of Communications in Mathematics 2020

, 3 (2)

, 152-157

DOI: https://doi.org/10.62072/acm.2020.030204

AbstractIn this work, we investigate the generalized Ulam-Hyers stability of the ωdimensional cubic functional equation where ω ≥ 4, in Banach spaces using direct and fixed point methods.
Open AccessArticle

Cube sum labeling of graphs

Annals of Communications in Mathematics 2020

, 3 (2)

, 171-176

DOI: https://doi.org/10.62072/acm.2020.030206

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.
Open AccessArticle

Ulam stability for finite variable quadratic functional equation in Banach algebra

Annals of Communications in Mathematics 2020

, 3 (2)

, 177-184

DOI: https://doi.org/10.62072/acm.2020.030207

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.