Fuzzy Stability of the Generalized Version of Drygas Functional EquationReport as inadecuate




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Journal of Applied Mathematics - Volume 2014 2014, Article ID 514192, 11 pages -

Research Article

Department of Mathematics Education, Dankook University, 152 Jukjeon-ro, Suji-gu, Yongin-si, Gyeonggi-do 448-701, Republic of Korea

Department of Mathematics, Sungshin Women-s University, 249-1 Dongseon-Dong 3-Ga, Seongbuk-gu, Seoul 136-742, Republic of Korea

Received 4 February 2014; Accepted 5 April 2014; Published 27 April 2014

Academic Editor: Roberto Natalini

Copyright © 2014 Chang Il Kim et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider the functional equation for a fixed rational number with and a fixed real number . We study the solution of the equation between linear spaces and prove the generalized Hyers-Ulam stability for it when the target space is a fuzzy normed space.





Author: Chang Il Kim, Giljun Han, and Seong-A Shim

Source: https://www.hindawi.com/



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