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Approximate (m,n)-Cauchy-Jensen additive mappings in C*-algebras

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Abstract

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 results obtained for Cauchy-Jensen type additive mappings.

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Authors and Affiliations

  1. Pedagogical Department E. E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4, Agamemnonos St., Aghia Paraskevi, Athens, 15342, Greece

    John Michael Rassias

  2. Department of Mathematics, Chungnam National University, 220 Yuseong-Gu, Daejeon, 305-764, Korea

    Kil Woung Jun & Hark-Mahn Kim

Authors
  1. John Michael Rassias
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  2. Kil Woung Jun
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  3. Hark-Mahn Kim
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Correspondence to Hark-Mahn Kim.

Additional information

This work was supported by Basic Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (Grant No. 2010-0015749)

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Rassias, J.M., Jun, K.W. & Kim, HM. Approximate (m,n)-Cauchy-Jensen additive mappings in C*-algebras. Acta. Math. Sin.-English Ser. 27, 1907–1922 (2011). https://doi.org/10.1007/s10114-011-0179-4

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