Fuzzy Stability of a Quadratic-Additive Functional Equation

Sun Sook Jin and Yang Hi Lee

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-16

Abstract:

We investigate a fuzzy version of stability for the functional equation 𠑓 ( 𠑥 + 𠑦 + 𠑧 + 𠑤 ) + 2 𠑓 ( 𠑥 ) + 2 𠑓 ( 𠑦 ) + 2 𠑓 ( 𠑧 ) + 2 𠑓 ( 𠑤 ) − 𠑓 ( 𠑥 + 𠑦 ) − 𠑓 ( 𠑥 + 𠑧 ) − 𠑓 ( 𠑥 + 𠑤 ) − 𠑓 ( 𠑦 + 𠑧 ) − 𠑓 ( 𠑦 + 𠑤 ) − 𠑓 ( 𠑧 + 𠑤 ) = 0 .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:504802

DOI: 10.1155/2011/504802

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