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Functional Inequalities Associated with Additive Mappings

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  • Jaiok Roh
  • Ick-Soon Chang

Abstract

The functional inequality is investigated, where is a group divisible by and are mappings, and is a Banach space. The main result of the paper states that the assumptions above together with (1) and (2) , or , imply that is additive. In addition, some stability theorems are proved.

Suggested Citation

  • Jaiok Roh & Ick-Soon Chang, 2008. "Functional Inequalities Associated with Additive Mappings," Abstract and Applied Analysis, Hindawi, vol. 2008, pages 1-11, September.
    • Handle: RePEc:hin:jnlaaa:136592
    DOI: 10.1155/2008/136592
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