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http://dx.doi.org/10.7468/jksmeb.2015.22.3.285

FUZZY STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION WITH THE FIXED POINT ALTERNATIVE  

SEO, JEONG PIL (OHSANG HIGH SCHOOL)
LEE, SUNGJIN (DEPARTMENT OF MATHEMATICS, DAEJIN UNIVERSITY)
SAADATI, REZA (DEPARTMENT OF MATHEMATICS, IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY)
Publication Information
The Pure and Applied Mathematics / v.22, no.3, 2015 , pp. 285-298 More about this Journal
Abstract
In [41], Th.M. Rassias proved that the norm defined over a real vector space V is induced by an inner product if and only if for a fixed positive integer l holds for all x1, ⋯ , x2l ∈ V . For the above equality, we can define the following functional equation Using the fixed point method, we prove the Hyers-Ulam stability of the functional equation (0.1) in fuzzy Banach spaces.
Keywords
fuzzy Banach space; fixed point; functional equation related to inner product space; Hyers-Ulam stability; quadratic mapping; additive mapping.;
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