Photo by robertbye from unsplash
AbstractUsing a fixed point result and an approach to stability of functional equations presented in [8], we investigate a new type of stability for the radical quadratic functional equation of… Click to show full abstract
AbstractUsing a fixed point result and an approach to stability of functional equations presented in [8], we investigate a new type of stability for the radical quadratic functional equation of the form $$ f(\sqrt{x^2+y^2}) = f(x) + f(y), $$f(x2+y2)=f(x)+f(y),where f is a self-mapping on the set of real numbers. We generalize, extend, and complement some earlier classical results concerning the Hyers–Ulam stability for that functional equations.
Keywords:
stability radical;
new type;
stability;
radical quadratic;
type stability;
fixed point
Journal Title: Acta Mathematica Hungarica
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Acta Mathematica Hungarica
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!