On the Stability of an m-Variables Functional Equation in Random Normed Spaces via Fixed Point Method
Joint Authors
Sadeghi, Gh.
Gordji, Madjid Eshaghi
Saadati, Reza
Khodaei, H.
Ebadian, A.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-10
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
At first we find the solution of the functional equation Df(x1,…,xm):=∑k=2m(∑i1=2k∑i2=i1+1k+1⋯∑im-k+1=im-k+1m)f(∑i=1,i≠i1,…,im-k+1mxi-∑r=1m-k+1xir)+f(∑i=1mxi)-2m-1f(x1)=0, where m≥2 is an integer number.
Then, we obtain the generalized Hyers-Ulam-Rassias stability in random normed spaces via the fixed point method for the above functional equation.
American Psychological Association (APA)
Ebadian, A.& Gordji, Madjid Eshaghi& Khodaei, H.& Saadati, Reza& Sadeghi, Gh.. 2012. On the Stability of an m-Variables Functional Equation in Random Normed Spaces via Fixed Point Method. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-464576
Modern Language Association (MLA)
Ebadian, A.…[et al.]. On the Stability of an m-Variables Functional Equation in Random Normed Spaces via Fixed Point Method. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-464576
American Medical Association (AMA)
Ebadian, A.& Gordji, Madjid Eshaghi& Khodaei, H.& Saadati, Reza& Sadeghi, Gh.. On the Stability of an m-Variables Functional Equation in Random Normed Spaces via Fixed Point Method. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-464576
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464576
