On a new type of stability of a radical quadratic functional equation using Brzdȩk’s fixed point theorem
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-016-0666-2
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 $$ f(\sqrt{x^2+y^2}) =… read more here.
Keywords: stability radical; new type; stability; radical quadratic ... See more keywords
Approximate solution of generalized inhomogeneous radical quadratic functional equations in 2-Banach spaces
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-1973-2
Abstract: AbstractIn this paper, using Brzdȩk and Ciepliński’s fixed point theorems in a 2-Banach space, we investigate approximate solution for the generalized inhomogeneous radical quadratic functional equation of the form f(ax2+by2)=af(x)+bf(y)+D(x,y),$$f \bigl(\sqrt{ax^{2}+by^{2}} \bigr)=af(x)+bf(y) + D(x,y), $$… read more here.
Keywords: radical quadratic; solution generalized; generalized inhomogeneous; approximate solution ... See more keywords