Approximate （m, n）-Cauchy-Jensen Additive Mappings in C^＊-algebras  

作　　者：John Michael RASSIAS Kil Woung JUN Hark-Mahn KIM 

机构地区：[1]Pedagogical Department E. E., Section of Mathematics and Informaties, National and Capodistrian University of Athens, 4, Agamemnonos St., Aghia Paraskevi, Athens, 15342, Greece [2]Department of Mathematics, Chungnam National University, 220 Yuseong-Gu, Daejeon, 305-764, Korea

出　　处：《Acta Mathematica Sinica,English Series》2011年第10期1907-1922,共16页数学学报（英文版）

摘　　要：Concerning the stability problem of functional equations, we introduce a general （m, n）- Cauchy-Jensen functional equation and establish new theorems about the Hyers-Ulam stability of general （m, n）-Cauchy Jensen additive mappings in C^＊-algebras, which generalize the result＇s obtained for Cauchy-Jensen type additive mappings.Concerning the stability problem of functional equations, we introduce a general （m, n）- Cauchy-Jensen functional equation and establish new theorems about the Hyers-Ulam stability of general （m, n）-Cauchy Jensen additive mappings in C^＊-algebras, which generalize the result＇s obtained for Cauchy-Jensen type additive mappings.

关 键 词：Generalized Hyers Ulam stability （m n）-Cauchy-Jensen mappings unitary group C^＊- algebra isomorphisms DERIVATIONS 

分 类 号：O177.91[理学—数学] S816.7[理学—基础数学]