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Journals / European Journal of Pure and Applied Mathematics (elektronik) / 2011 / Cilt: 4 - Sayı: 1

Generalised Hyers-Ulam product-sum stability of a Cauchy type additive functional equation

Matina J. RASSIAS

Pages
50–58
DOI
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Abstract

In 1940 (and 1964) S.M. Ulam proposed the well-known Ulam stability problem. In 1941 D.H. Hyers solved the Hyers-Ulam problem for linear mappings. In 2008, J. M. Rassias introduced the generalised Hyers-Ulam “product-sum” stability. In this paper we introduce a Cauchy type additive functional equation and investigate the generalised Hyers-Ulam “product-sum” stability of this equation. 2000 Mathematics Subject Classifications: Primary 39B. Secondary 26D.