Intuitionistic fuzzy almost Cauchy–Jensen mappings

In this paper, we first investigate the Hyers–Ulam stability of the generalized Cauchy–Jensen functional equation of -variable in an intuitionistic fuzzy Banach space. Then, we conclude the results for Cauchy–Jensen functional equation of -variable . Next, we discuss the intuitionistic fuzzy continu...

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Bibliographic Details
Published inDemonstratio mathematica Vol. 49; no. 1; pp. 18 - 25
Main Authors Gordji, M. E., Abbaszadeh, S.
Format Journal Article
LanguageEnglish
Published De Gruyter Open 01.03.2016
De Gruyter
Subjects
26E50
34K36
39B52
39B82
46S40
47S40
Cauchy–Jensen mapping
Hyers–Ulam stability
intuitionistic fuzzy Banach space
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Summary:In this paper, we first investigate the Hyers–Ulam stability of the generalized Cauchy–Jensen functional equation of -variable in an intuitionistic fuzzy Banach space. Then, we conclude the results for Cauchy–Jensen functional equation of -variable . Next, we discuss the intuitionistic fuzzy continuity of Cauchy–Jensen mappings.
ISSN:2391-4661
2391-4661
DOI:10.1515/dema-2016-0003