On the Stability of an -Variables Functional Equation in Random Normed Spaces via Fixed Point Method | Zendy

Ali Ebadian | Zendy; M‎. ‎Eshaghi Gordji | Zendy; H. Khodaei | Zendy; Reza Saadati | Zendy; Ghadir Sadeghi | Zendy

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On the Stability of an -Variables Functional Equation in Random Normed Spaces via Fixed Point Method

Author(s) -

Ali Ebadian,

M‎. ‎Eshaghi Gordji,

H. Khodaei,

Reza Saadati,

Ghadir Sadeghi

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/346561

Subject(s) - functional equation , mathematics , fixed point , fixed point iteration , stability (learning theory) , integer (computer science) , fixed point theorem , point (geometry) , mathematical analysis , computer science , differential equation , geometry , machine learning , programming language

At first we find the solution of the functional equation (1,…,)∶=∑=2(∑1=2∑+12=1+1⋯∑−+1=−+1)(∑=1,≠1,…,−+1−∑−+1=1)+(∑=1)−2−1(1)=0, where ≥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

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