17 research outputs found
Ulam type stability problems for alternative homomorphisms
Get PDFWe introduce an alternative homomorphism with respect to binary operations and investigate the Ulam type stability problem for such a mapping. The obtained results apply to Ulam type stability problems for several important functional equations.ArticleJOURNAL OF INEQUALITIES AND APPLICATIONS. 2014:228 (2014)journal articl
Asymptotic stability of the Cauchy and Jensen functional equations
Get PDFThe aim of this note is to investigate the asymptotic stability behaviour of
the Cauchy and Jensen functional equations. Our main results show that if these
equations hold for large arguments with small error, then they are also valid
everywhere with a new error term which is a constant multiple of the original
error term. As consequences, we also obtain results of hyperstability character
for these two functional equations
General uniqueness theorem concerning the stability of additive, quadratic, and cubic functional equations
Get PDFApproximate solution of generalized inhomogeneous radical quadratic functional equations in 2-Banach spaces
No full textConnections between Hyers-Ulam stability and uniform exponential stability of discrete evolution families of bounded linear operators over Banach spaces
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