On Pexider Differences in Topological Vector Spaces

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‖<𝑑} where 𝑑>0. We prove that the Pexiderized Jensen functional equation is stable for functions defined on 𝐷1(𝐷2...

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Bibliographic Details

Published in:	Abstract and Applied Analysis
Main Authors:	Abbas Najati, M. R. Abdollahpour, Gwang Hui Kim
Format:	Article
Language:	English
Published:	Wiley 2011-01-01
Online Access:	http://dx.doi.org/10.1155/2011/370104