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On the Cauchy-Rassias stability of a generalized additive functional equation
Authors:Jung-Rye Lee
Affiliation:a Department of Mathematics, Daejin University, Kyeonggi 487-711, Republic of Korea
b Department of Mathematics, University of Seoul, Seoul 130-743, Republic of Korea
Abstract:Let X and Y be Banach spaces and f:XY an odd mapping. We solve the following generalized additive functional equation
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Keywords:Banach space   Cauchy-Rassias stability   Generalized additive functional equation   Generalized additive mapping   Banach module over a   mmlsi5"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0022247X07008414&  _mathId=si5.gif&  _pii=S0022247X07008414&  _issn=0022247X&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=82afbea91cdcf8751c3339032b1b34b7')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >C&lowast  -algebra
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