Title of article :
Stability of functional inequalities associated with the Cauchy-Jensen additive functional equalities in non-Archimedean Banach spaces
Author/Authors :
Kim ، Sang Og - Hallym University , Bodaghi ، Abasalt - islamic Azad University, Garmsar Branch , Park ، Choonkil - Hanyang University
Abstract :
In this article, we prove the generalized HyersUlam stability of the following Pexider functional inequalities \[\|f(x) + g(y) + kh(z)\| \leq \| kp (\frac{ x + y}{ k} + z)\|,\] \[\|f(x) + g(y) + h(z)\| \leq \| kp (\frac{ x + y+z}{ k} )\|,\] in nonArchimedean Banach spaces.
Keywords :
Hyers , Ulam stability , Pexider Cauchy , Jensen functional inequality , nonArchimedean space , additive mapping
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
