Local stability of the Pexiderized Cauchy and Jensen's equations in fuzzy spaces

Journal of inequalities and applications

Abbas Najati¹ 

关键词: Pexiderized Cauchy functional equation;    generalized Hyers-Ulam stability;    Jensen functional equation;    non-Archimedean space;   

DOI  :  10.1186/1029-242X-2011-78

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY