Title of article :
HUR stability of a generalized Apollonius type quadratic functional equation in non-Archimedean Banach spaces
Author/Authors :
Azadi Kenary, Hassan yasouj university - College of Sciences - Department of Mathematics, ياسوج, ايران , Cho, Yeol Je Gyeongsang National University - Research Institute of Natural Science (RINS) - Department of Mathematics Education, South Korea
Abstract :
Using the fixed point and direct methods, we prove the generalized Hyers-Ulam stability of the following generalized Apollonius type quadratic functional equation f(∑_(i=1)^m▒〖Zi-∑_(i=0)^m▒〖Xi)〗〗 + f(∑_(i=1)^m▒〖Zi-∑_(i=0)^m▒〖Xi)〗〗 in non-Archimedean Banach spaces.
Keywords :
Hyers , Ulam stability , Non , Archimedean normed space , p , adic field
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
