Title of article :
On a functional equation connected with bi-linear mappings and its Hyers-Ulam stability
Author/Authors :
Cieplinski ، Krzysztof - AGH University of Science and Technology
Abstract :
We introduce the notion of a bi-linear mapping which generalizes some known ones, and note that bi-linear mappings satisfy a functional equation. The Hyers-Ulam stability of this equation is studied in Banach, 2-Banach and complete non-Archimedean normed spaces.
Keywords :
Hyers , Ulam stability , functional equation , system of functional equations
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications