Open AccessStability of a mixed type additive, quadratic and cubic functional equation in random normed spaces
Author(s) -
Eshaghi Gordji,
Bavand Savadkouhi
Publication year - 2011
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1103043g
Subject(s) - mathematics , functional equation , stability (learning theory) , quadratic equation , type (biology) , pure mathematics , normed vector space , discrete mathematics , mathematical analysis , differential equation , geometry , ecology , biology , machine learning , computer science
In this paper, we obtain the general solution and the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary t-norms f(x + 3y) + f(x i 3y) = 9(f(x + y) + f(x i y)) i 16f(x):
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom