Generalised Hyers-Ulam Product-Sum Stability of a Cauchy Type Additive Functional Equation

Authors

  • Matina John Rassias

Keywords:

Generalised “product-sum” Hyers-Ulam stability, Cauchy type additive functional equation

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.

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Published

2011-01-30

Issue

Vol. 4 No. 1: (January 2011)

Section

Functional Analysis

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How to Cite

Generalised Hyers-Ulam Product-Sum Stability of a Cauchy Type Additive Functional Equation. (2011). European Journal of Pure and Applied Mathematics, 4(1), 50-58. https://www.ejpam.com/index.php/ejpam/article/view/677