Intuitionistic fuzzy almost Cauchy–Jensen mappings
| Autor: | Gordji M. E., Abbaszadeh S. |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Demonstratio Mathematica, Vol 49, Iss 1, Pp 18-25 (2016) |
| Druh dokumentu: | article |
| ISSN: | 2391-4661 2016-0003 |
| DOI: | 10.1515/dema-2016-0003 |
| Popis: | In this paper, we first investigate the Hyers–Ulam stability of the generalized Cauchy–Jensen functional equation of p-variable f(∑i=1paixi)=∑i=1paif(xi)$f\left(\sum\nolimits_{i = 1}^p {a_i x_i } \right) = \sum\nolimits_{i = 1}^p {a_i f(x_i )}$ in an intuitionistic fuzzy Banach space. Then, we conclude the results for Cauchy–Jensen functional equation of p-variable f(x1+⋯+xpp)=1p(f(x1)+⋯+f(xp))$f\left( {{\textstyle{{x_1 + \cdots + x_p } \over p}}} \right) = {1 \over p}(f(x_1 ) + \cdots + f(x_p ))$ . Next, we discuss the intuitionistic fuzzy continuity of Cauchy–Jensen mappings. |
| Databáze: | Directory of Open Access Journals |
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