Stability of a cubic functional equation in intuitionistic random normed spaces

(整期优先)网络出版时间:2010-01-11
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Inthispaper,thestabilityofacubicfunctionalequationinthesettingofintuitionisticrandomnormedspacesisproved.Wefirstintroducethenotationofintuitionisticrandomnormedspaces.Then,byvirtueofthisnotation,westudythestabilityofacubicfunctionalequationinthesettingofthesespacesunderarbitrarytrianglenorms.Furthermore,wepresenttheinterdisciplinaryrelationamongthetheoryofrandomspaces,thetheoryofintuitionisticspaces,andthetheoryoffunctionalequations.