On Pexider Differences in Topological Vector Spaces

Abbas Najati, M. R. Abdollahpour and Gwang Hui Kim

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: Let X be a normed space and Y a sequentially complete Hausdorff topological vector space over the field ℚ of rational numbers. Let D1 = {(x, y) ∈ X × X : ∥x∥+∥y∥≥d}, and D2 = {(x, y) ∈ X × X : ∥x∥+∥y∥ 0. We prove that the Pexiderized Jensen functional equation is stable for functions defined on D1(D2), and taking values in Y. We consider also the Pexiderized Cauchy functional equation.

Date: 2011
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https://doi.org/10.1155/2011/370104

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:370104

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