Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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REFINED HYERS-ULAM STABILITY FOR JENSEN TYPE MAPPINGS

  • Rassias, John Michael (Pedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens) ;
  • Lee, Juri (Department of Mathematics, Chungnam National University) ;
  • Kim, Hark-Mahn (Department of Mathematics, Chungnam National University)
  • Received : 2009.01.29
  • Accepted : 2009.02.17
  • Published : 2009.03.31
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Abstract

In 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved the well-known Ulam stability problem for additive mappings subject to the Hyers condition on approximately additive mappings. In this paper we improve results for Jensen type mappings and establish new theorems about the Ulam stability of additive and alternative Jensen type mappings.

Keywords

Acknowledgement

Supported by : Chungnam National University

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