Papers
Local Stability of the pexiderized Cauchy and Jensen's equations in fuzzy spaces
- AuthorAbbas NajatIi; Jung Im Kang; Yeol Je Cho
- JournalJournal of Inequalities and Applications 78 (2011
- Link https://doi.org/10.1186/1029-242X-2011-78
- Classification of papersSCIE
Lex X be a normed space and Y be a Banach fuzzy space. Let D = {(x, y) ∈ X × X : ||x|| + ||y|| ≥ d} where d > 0. We prove that the Pexiderized Jensen functional equation is stable in the fuzzy norm for functions defined on D and taking values in Y. We consider also the Pexiderized Cauchy functional equation.
2000 Mathematics Subject Classification: 39B22; 39B82; 46S10.
Lex X be a normed space and Y be a Banach fuzzy space. Let D = {(x, y) ∈ X × X : ||x|| + ||y|| ≥ d} where d > 0. We prove that the Pexiderized Jensen functional equation is stable in the fuzzy norm for functions defined on D and taking values in Y. We consider also the Pexiderized Cauchy functional equation.
2000 Mathematics Subject Classification: 39B22; 39B82; 46S10.